ALLIED MAT130 FULL COURSE [ ALL DISCUSSIONS ALL HOMEWORK ALL CHECK UNDERSTANDING AND FINAL EXAM ]

module 1

Posted by Oscar Gaytan at 08/04/13 06:14 PM
Welcome, everyone, to the discussion board. Each week you
will have an initial discussion problem and a series of follow-up problems
posted within the discussion board. Please be sure to actively participate in order
to receive full credit.Answer the following problems in separate posts:

In a Gallup poll of 976 adults, 68 said that they have a
drink every day. What is the percentage of respondents who said that they have
a drink every day?

Among the 976 adults surveyed, 32% said that they never
drink. What is the actual number of surveyed adults who said that they never
drink?This module discusses common ways of classifying data by using the
following four levels of measurement: nominal, ordinal, interval, and ratio.
I’d like you to identify and justify which measurement you would use to
classify the following data.

module 2

The Insurance Institute for Highway Safety conducted tests
with crashes of new cars traveling at 6 mi/h. The total cost of the damages for
a simple random sample of the tested cars are listed below. Based on these
results, is damage of $10,000 unusual? Why or why not?
$7448 $4911 $9051 $6374 $4277
Hint: Find the range, variance, and standard deviation for
the given sample data and use the information to solve the problem.

MODULE 3

Posted
by Oscar Gaytan at 08/04/13 06:18 PM

A Las Vegas handicapper can correctly predict the winning
professional football team 70% of the time. What is the probability that she is
wrong in her next prediction?

After you’ve answered the above problem, I want you to
create a probability question using a game of your choosing (doesn’t have to be
a sports game, but an actual probability question involving cards or roulette).
Afterwards, answer a problem posted by a fellow classmate. At the end of the
week, post the solution to the problem you created. Please post your problem
promptly to allow others a chance to view and answer it.

MODULE 4

Posted
by Oscar Gaytan at 08/04/13 06:18 PM

Use Table A-2 in your appendix to help solve the following
problems. Give the probability of each problem and explain what area under the
bell curve is used given the z scores. Write one post per problem.

1. P(-1.96 < z < 1.96) 2. P(z < 1.645) 3. P(z < -2.575 or z > 2.575)

I’d also like for you to explain why or why not P(z< 1.645) is the same as P(z less than or equal to 1.645). In other words, does it matter if you use 'less than or equal to' instead of just 'less than'? MODULE 5 Posted by Oscar Gaytan at 08/04/13 06:19 PM Identify the type I error and the type II error that correspond to the given hypothesises. Compose one post per problem. Hint: You need to to determine the both errors for each statement. 1. The percentage of nonsmokers exposed to secondhand smoke is equal to 41%. 2. The percentage of households with at least two cell phones is less than 60%. I would also like you to discuss how your project is going. Have you finished conducting your survey? Share with the class what problems you might have encountered and how you overcame them, or what you are doing to further your project. module 6 Posted by Oscar Gaytan at 08/04/13 06:21 PM Describe the error in the stated conclusion on separate posts for each problem. 1. Given: There is a linear correlation between the number of cigarettes smoked each day and the pulse rate, so that more smoking is associated with a higher pulse rate. Conclusion: Smoking causes an increase in the pulse rate. 2. Given: There is a linear correlation between state average commuting times and state average commuting costs. Conclusion: There is a linear correlation between individual commuting times and individual module 7 With two modules to go, I'd like to see where you are at in the project. Please openly discuss where you are at and if you have any questions, please let me know. Also, I'd like you to answer the following in a separate post: Some nonparametric methods are based on the ranks of sample data. Find the ranks corresponding to these sample values: 77, 65, 88, 88, 95. module 8 Define what a p-chart is and what it is used for. In a separate post, define what an R-chart is and what it is used for. I would also like you to answer the following: 1. What was the most difficult topic we covered in the course and what steps did you take to overcome it?2. What topic did you find most useful or beneficial to you?3. Were your expectations for the course satisfied?4. How are you planning to continue your studies in mathematics?Homework Assignment IntroductionWelcome to the Module 1 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. Seventy-two percent of Americans squeeze their toothpaste tube from the top. This and other not-so-serious findings are included in The First Really Important Survey of American Habits. Those results are based on 7,000 responses from the 25,000 questionnaires that were mailed.a. What is the percentage of questionnaires that were completed based on the number of responses?b. What drawbacks do you see in using this type of data collecting?c. As stated, the value of 72% refers to all Americans, so is that 72% a statistic or a parameter?d. Does the survey constitute an observational study or an experiment?2. How do a parameter and a statistic differ?3. How do quantitative data and categorical data differ?4. How do discrete data and continuous data differ?5. What is a voluntary response sample, and why is it generally unsuitable for methods of statistics?6. What is the difference between statistical significance and practical significance?ate an example in which each type of measurement is used.a. Nominal exampleb. Ordinal examplec. Interval exampled. Ratio example13. You have been commissioned to conduct a job survey of graduates from your college. Describe procedures for obtaining a sample of each type:a. Randomb. Systematicc. Convenienced. Stratifiede. Cluster14. In “Cardiovascular Effects of Intravenous Triiodothyronine in Patients Underdoing Coronary Artery Bypass Graft Surgery” (Journal of the American Medical Association, Vol. 275, No. 9), the authors explain that patients were assigned to one of three groups: (1) a group treated with triidothyronine, (2) a group treated with normal saline bolus and dopamine, and (3) a placebo group given normal saline. The authors summarize the sample design as a “prospective, randomized, double-blind, placebo-controlled trial.” Describe the meaning of each of the following terms in the context of this study:a. prospectiveb. randomizedc. double-blindd. placebo-controlled15. Find a professional journal with an article in AAU’s LIRN library that uses a statistical analysis of an experiment and answer the following:a. Cite the article.b. Describe and comment on the design of the experiment.c. Identify one particular issue and determine whether the result was found to be statistically significant.d. Determine whether that same result has practical significance.Note: Please visit the Academic Resource Center for a helpful guide on how to use LIRN.PART II: PROJECTDirections: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?Downloaded MaterialPercentMusic32%Games25%Software14%Movies10%a. Does this table describe a relative frequency distribution? Why or why not?b. What are some of the conditions for a table to have a relative frequency distribution?2. Listed below are amounts of strontium-90 (in millibecquerels) in a simple random sample of baby teeth obtained from Pennsylvania residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano, et. al., Science of the Total Environment). Construct a frequency distribution with eight classes. Begin with a lower class limit of 110, and use a class width of 10. Cite a reason why such data are important. You may use the blank table below or create your own.155 142 149 130 151 163 151 142 156 133 138 161 128 144 172 137 151 166 147 163 145 116 136 158 114 165 169 145 150 150 150 158 151 145 152 140 170 129 188 156Amount of Strontium-90 (in millibecquerels) in baby teethFrequency the data set above of the amounts of strontium-90 found in baby teeth, find the following:a. Rangeb. Medianc. Moded. Mean4. Construct a stemplot of the amounts of Strontium-90 from problem 3. What does the stemplot suggest about the distribution of those amounts? You may use the table below to create your stemplot.StemLeaves5. The frequency distribution below summarizes the tar (mg) contains in filtered cigarettes.Tar (mg) in Filtered CigarettesFrequency2-526-9210-13614-1715Construct a cumulative frequency distribution given the frequency distribution table above.e of thumb to find the maximum and minimum usual heights of three-year-old girls.b. Based on the result, is the height of 87.8 cm unusual?c. Should the physician be concerned?15. Use the given sorted values below which are the numbers of points scored in the Super Bowl for a recent period of 24 years.36 37 37 39 39 41 43 44 44 47 50 53 54 55 56 56 57 59 61 61 65 69 69 75Find the indicated percentile or quartile:a. P20b. Q1c. Q3d. P75PART II: PROJECTFor this Module 2 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?lation behave in a way that is similar to actual dice? Why or why not? Use your answers from part (a) and (b) in your explanation.3. What is the basic difference between a situation requiring application of the permutations rule and one that requires the combinations rule?4. Credit card numbers typically have 16 digits, but not all of them are random. Answer the following and express probabilities as fractions.a. What is the probability of randomly generating 16 digits and getting your MasterCard number?b. Receipts often show the last four digits of a credit card number. If those last four digits are known, what is the probability of randomly generating the other digits of your MasterCard number?c. Discover cards begin with the digits 6011. If you also know the last four digits of a Discover card, what is the probability of randomly generating the other digits and getting all of them correct? Is this something to worry about?5. A columnist for the Daily News in New York City wrote about selecting lottery numbers. He stated that some lottery numbers are more likely to occur because they haven't turned up as much as they should, and they are overdue. Is this reasoning correct? Why or why not? What principle of probability is relevant here? find P(1).c. If ? = 3/4, find P(3).d. If ? = 1/6, find P(0).PART II: PROJECTFor this Module 3 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.Homework Assignment IntroductionWelcome to the Module 4 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?2. What is the difference between a standard normal distribution and a nonstandard normal distribution?3. Find the indicated values for the following problems:a. z0.05b. z­0.01c. z0.10­d. z0.024. Based on data from the National Health Survey, men’s heights are normally distributed with mean 69.0 in. and standard deviation 2.8 in, whereas women’s heights are normally distributed with mean 63.6 in. and standard deviation 2.5 in. The Gulfstream 100 is an executive jet that seats six, and it has a doorway height of 51.6 in. Use this information to answer the following problems:a. What percentage of adult men can fit through the door without bending?b. What percentage of adult women can fit through the door without bending?c. Does the door design with a height of 51.6 in. appear to be adequate? Why didn’t the engineers design a larger door?d. What doorway height would allow 60% of men to fit without bending?5. What is the standard error of the mean?omework Assignment IntroductionWelcome to the Module 5 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. Bottles of Bayer aspirin are labeled with a statement that the tablets each contain 325 mg of aspirin. A quality control manager claims that a large sample of data can be used to support the claim that the mean amount of aspirin in the tablets is equal to 325 mg, as the label indicates. Can a hypothesis test be used to support that claim? If so, identify the null and alternative hypotheses.2. Make a decision about the given claims. Use only the rare event rule stated in Section 8-2, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).a. Claim: A coin favors heads when tossed, and there are 90 heads in 100 tosses.b. Claim: Movie patrons have IQ scores with a standard deviation that is less than the standard deviation of 15 for the general population. A simple random sample of 40 movie patrons results in IQ scores with a standard deviation of 14.8.3. Examine the given statements then express the null hypothesis and alternative hypothesis in symbolic form. Be sure to use the correct symbol (? , p, ?) for the indicated parameter.a. The majority of college students have credit cards.b. The proportion of homes with fire extinguishers is 0.80.4. In preliminary results from couples using the Gender Choice method of gender selection to increase the likelihood of having a baby girl, 20 couples used the Gender Choice method with the result that 8 of them had baby girls and 12 had baby boys. Given that the sample proportion is 8/20 or 0.4, can the sample data support the claim that the proportion of girls is greater than 0.5? Can any sample proportion less than 0.5 be used to support a claim that the population proportion is greater than 0.5? Explain why or why not.5. Test the given claim: In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on data from ICR Survey Research Group). Use a 0.01 significance level to test the claim that among all voters, the percentage who believe that they voted for the winning candidate is equal to 43%, which is the actual percentage of votes for the winning candidate. What does the result suggest about voter perceptions?a. Identify the null hypothesis.b. Identify the alternative hypothesis.c. Identify the test statistic, P-value or critical value(s).d. Identify the conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution (as described in Part 1 of section 8-3).Welcome to the Module 6 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. For each of several randomly selected years, the total number of points scored in the Super Bowl football game and the total number of new cars sold in the United States are recorded.a. For this sample of paired data, what does r represent?b. What does ? represent?c. Without doing any research or calculations, estimate the value of r.2. What is meant by the statement that correlation does not imply causality?3. Describe the error in the stated conclusion for each statement.a. Given: There is a linear correlation between the number of cigarettes smoked each day and the pulse rate, so that more smoking is associated with a higher pulse rate.Conclusion: Smoking causes an increase in the pulse rate.b. Given: There is a linear correlation between annual personal income and years of education.Conclusion: More education causes a person’s income to rise.4. A jeweler at Tiffany & Company computes the value of the linear correlation coefficient for pairs of sample data consisting of Tiffany prices for gold wedding rings and the corresponding prices at a discount store. She obtains a value of r = 1 and concludes that the prices at both companies are the same. Is she correct? Why or why not?5. Use the given data below to find the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in Figure 10-5 in your textbook.a. In a study conducted by University of Arizona researchers, the total weight (in pounds) of garbage discarded in one week and the household size were recorded for 62 households. The linear correlation coefficient is r = 0.759 and the regression equation is.png">, where x represents the total weight of discarded garbage. The mean of the 62 garbage weights is 27.4 lb and the 62 households have a mean size of 3.71 people. What is the best predicted number of people in a household that discards 50 lb of garbage?b. A sample of eight mother daughter pairs of subjects was obtained, and their heights (in inches) were measured. The linear correlation coefficient is 0.693 and the regression equation is.png”>, where x represents the height of the mother (based on data from the National Health Examination Survey). The mean height of the mothers is 63.1 in. and the mean height of the daughters is 63.3 in. Find the best predicted height of a daughter given that the mother has a height of 60 in.6. Define the following terms from section 10-4:a. Total deviationb. Explained deviationc. Unexplained deviation notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the M
dule 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.Welcome to the Module 7 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. What is one-way analysis of variance used for? What are the requirements for one-way analysis of variance?2. What is two-way analysis of variance used for? What are the requirements for two-way analysis of variance?3. What is the main difference between one-way analysis of variance and two-way analysis of variance?4. In one-way analysis of variance tests, do larger test statistics result in larger P-values, smaller P-values, or P-values that are unrelated to the value of the test statistic?5. What are the advantages and disadvantages of nonparametric tests?6. Why is the sign test considered to be a “nonparametric” test of a “distribution-free” test?7. Assume that matched pairs of data result in the given number of signs when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference.a. Positive signs: 13; negative signs: 1; ties: 0 (from a preliminary test of the MicroSort method of gender selection)b. Positive signs: 5; negative signs: 7; ties: 1 (from a class project testing for the difference between reported and measured heights of males)8. In a study of fraternal twins of different genders, researchers measured the heights of each twin. The data show that for each matched pair, the height of the male is greater than the height of his twin sister. What is the value of T?9. Listed below are the genders of the first 25 subjects listed in Data Set 3 in Appendix B. Use that sequence to identify the values of n1, n2, and G that would be used in the runs test for randomness. M M M M M M M M M M M M M M M M M M F F M F M M M10. A New York Times article about the calculation of decimal places of noted that “mathematicians are pretty sure that the digits of are indistinguishable from any random sequence.” Given below are the first 30 decimal places of.png”>. Test for randomness of odd (O) and even (E) digits. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9PART II: PROJECTFor this Module 7 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.Welcome to the Module 8 Homework Assignment for MAT 130: Beginning Statistics.This section prepares you to complete this assignment successfully. PleasePROJECTDirections: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121Please answer the following questions:1. How would you rate your data gathering effort? Would you consider your data to be unbiased? Explain what steps you took to keep the data unbiased, or explain what could have done better to prevent the bias.2. Before you begin analyzing the data, what do you believe you might conclude from it? This is not limited to any single question, but rather you are asked to formulate a claim based on the results.3. Create a table and record your data from the survey. You may use the table below as a template or use Excel (note: if you decide to use Excel, please be sure to upload that file as well; remember that iBoard allows you to upload multiple files).Participant #GenderAgeDate SurveyedSurvey Responsey.8181819915771px;”=””>3. Identify the type of observational study (cross-sectional, retrospective, prospective). A town obtains current employment data by polling 10,000 of its citizens this month.a. Cross-sectionalb. Prospectivec. Retrospectived. None of the choices apply4. Determine what completes the following definition: A parameter is a numerical measurement describing some characteristic of a:a. sample.b. person.c. population.d. statistic.5. Identify the type of observational study (cross-sectional, retrospective, prospective). University of Toronto researchers studied 699 traffic crashes involving drivers with cell phones (based on data from “Association Between Cellular-Telephone Calls and Motor Vehicle Collisions,” by Redelmeier and Tibshirani, New England Journal of Medicine, Vol. 336, No. 7). They found that cell phone use quadruples the risk of a collision.a. Cross-sectionalb. Prospectivec. Retrospectived. None of the choices apply6. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Survey responses of “good, better, best”.a. Ratiob. Nominalc. Intervald. Ordinal7. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. In a study of college programs, 820 students are randomly selected from those majoring in communications, 1463 students are randomly selected from those majoring in business, and 760 students are randomly selected from those majoring in history.a. Convenienceb. Randomc. Systematicd. Clustere. Stratified8. Identify whether the sampling plan results in a random sample, simple random sample, or neither. NBC News polled reactions to the last presidential election by surveying adults who were approached by a reporter at a location in New York City.a. Random sampleb. Simple random samplec. Neither9. Use common sense to determine whether the given event is impossible; possible, but very unlikely; or possible and likely. Andre flipped a coin twice and it came up the same way both times.a. Impossibleb. Possible, but very unlikelyc. Possible and likely10. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. A pollster uses a computer to generate 500 random numbers, then interviews the voters corresponding to those numbers.a. Convenienceb. Randomc. Systematicd. Clustere. Stratified111. Solve the problem. Convert 83% to an equivalent decimal.a. 83.0b. 8.3c. 0.83d. 1.83e. .008312. Solve the problem. On a test, 95% of the questions are answered correctly. If 57 questions are correct, how many questions are on the test?a. 167b. 95c. 19d. 6013. Determine whether the given value is a statistic or a parameter. The author randomly selected 35 movies and found the amount of money that they grossed from ticket sales. The average (mean) is $123.7 million.a. Statisticb. Parameter14. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. The U.S. Department of Corrections collects data about returning prisoners by randomly selecting five federal prisons and surveying all of the prisoners in each of the prisons.a. Convenienceb. Randomc. Systematicd. Clustere. Stratified115. Identify whether the sampling plan results in a random sample, simple random sample, or neither. ABC News conducts an election day poll by randomly selecting voting precincts in New York, then interviewing all voters as they leave those precincts.a. Random sampleb. Simple random samplec. Neither.8181819915771px;”=””>Question Points1. Find the median for the given sample data. The ages (in years) of the eight passengers on a bus are listed. Find the median age: 6 3 23 19 25 42 37 35.a. 25 yrb. 23.5 yrc. 23 yrd. 24 yr12.Construct a pie chart representing the given data set. The following data give the distribution of the types of houses in a town containing 12,000 houses.a.b.3. Find the midrange for the given sample data. Listed below are the amounts of time (in months) that the employees of an electronics company have been working at the company. Find the midrange. 15, 21, 28, 34, 48, 51, 61, 61, 73, 76, 85, 91, 132, 155a. 70 monthsb. 66.5 monthsc. 61 monthsd. 85 months4.A car dealer is deciding what kinds of vehicles he should order from the factory. He looks at his sales report for the preceding period. Choose the vertical scale so that the relative frequencies are represented. Construct a Pareto chart to help him decide.a.b.c.d.5.Find the midrange for the given sample data. A meteorologist records the number of clear days in a given year in each of the 21 different U.S. cities. The results are shown below. Find the midrange.a. 110.5 daysb. 117 daysc. 112 daysd. 98 days16. Solve the problem. A student of the author earned grades of 92, 83, 77, 84, and 82 on her five regular tests. She earned grades of 88 on the final exam and 95 on her class projects. Her combined homework grade was 50. The five regular tests count for 60% of the final grade, the final exam counts for 10%, the project counts for 15%, and homework counts for 15%. What is her weighted mean grade (rounded to the nearest hundredth), and what letter grade did she earn? (A, B, C, D, or F)a. 80. 38, Bb. 79.15, Cc. 80.71, Bd. 78.45, Ce. None of the choices apply115.Find the mean of the data summarized in the given frequency distribution. The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height. Round your answer to one decimal place.a. 13.5 in.b. 78.2 in.c. 74.7 in.d. 76.4 in..8181819915771px;”=””>Question1. Answer the question. Find the odds against correctly guessing the answer to a multiple choice question with 7 possible answers.a