ALLIED MAT130 MODULE 5 HOMEWORK ASSIGNMENT

Homework Assignment IntroductionWelcome to the Module 5 Homework Assignment for MAT 130: Beginning Statistics.This section prepares you to complete this assignment successfully. Please follow these instructions to complete and submit this assignment.You will create a document in either a .doc or .rtf format to record and save your work. If you have never created documents in an .rtf format, please visit the Academic Resource Center and click on Tutorials. You will then see a list of tutorials on the following page. Click on RTF Tutorial.Read the instructions carefully and review your work before you submit your assignment.Include a title page with this assignment. Your title page should follow standard APA formatting. Please view the .allied.edu/Pages/ViewPage.aspx?GroupID=189″>Title Page Example.When you are ready to submit the assignment, click the Start button at the bottom of the page to access the submission page and follow the instructions.If you have any problems with this assignment, please e-mail your instructor.Running head: [INSERT
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NameAllied
American UniversityAuthor
Note This
paper was prepared for [INSERT COURSE NAME], [INSERT COURSE ASSIGNMENT] taught
by [INSERT INSTRUCTOR’S NAME].

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).6. When testing a claim
about a population mean with ? known, either or both of these conditions is satisfied:
The population is normally distributed or the sample size n is greater than 30,
that is, n > 30. How do we verify that a population is normally distributed?7. In statistics, what
does df denote? If a simple random
sample of 20 speeds of cars on California Highway 405 is to be used to test the
claim that the sample values are from a population with a mean greater than the
posted speed limit of 65 mi h, what is the specific value of df?8. What is a t test? Why is the letter t used?9. Determine whether the
hypothesis test involves a sampling distribution of means that is a normal
distribution, Student t distribution,
or neither. You may use Figure 7-6 and Table 7-1 in your textbook. Claim about daily rainfall amounts in Boston:
? < 0.20 in. Sample data: n = 52,.png"> = 0.10 in., s = 0.25 in. The sample data
appear to come from a population with a distribution that is very far from
normal, and is known.10. Hypothesis tests of
claims about the population mean or population standard deviation both require
a simple random sample from a normally distributed population. How does the normality requirement for a
hypothesis test of a claim about a standard deviation differ from the normality
requirement for a hypothesis test of a claim about a mean?11. Find the number of
successes x suggested by the given statements:a.
From an article in Journal of the American Medical Association:
Among 8834 malfunctioning pacemakers, in 15.8% the malfunctions were due to
batteries.b.
From Pfizer: Among 129 subjects
who took Chantix as an aid to stop smoking, 12.4% experienced nausea.12. Assume that you plan to use a significance level of.png” alt=”6dca245c-4a08-4b51-8ede-c6fa5169a2ca”> = 0.05 to test the claim that P1 = P2. Use the given sample sizes and numbers of
successes below to find:a.
the pooled estimate.png”>,b.
the z test statistic,c.
the critical z values,d.
the P-value.Chantix is
a drug used as an aid to stop smoking. The
numbers of subjects experiencing
insomnia for each of two treatment groups in a clinical trial of the drug
Chantix are given below (based on data from Pfizer):

Chantix Treatment

Placebo

Number in
group

129

805

Number
experiencing insomnia

19

13

13. Assume that you want to
use a 0.01 significance level to test the claim that the mean pulse rate of men
is less than the mean pulse rate of women. What confidence level should
be used if you want to test that claim using a confidence interval?14. A nutritionist selects a
simple random sample of 50 cans of Coke and another simple random sample of 50
cans of Pepsi. The cans are arranged as
50 pairs, then the sugar content of each can is measured. Are the two samples (Coke and Pepsi)
independent or dependent? Explain.15. When testing the claim
that two different simple random samples heights of men are from populations
having the same standard deviation, the author obtained the F test
statistic of 1.010 (based on data from the National Health and Nutrition
Examination Survey). What does the value
of the F test statistic reveal about the sample data?PART
II: PROJECTFor
this Module 5 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 #

Gender

Age

Date Surveyed

Survey Response

1

M

18

12/10/12

5

2

F

42

12/15/12

8

3

M

34

12/17/12

1

In 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.