ALLIED MAT130 MODULE 5 check your understanding

Question Points
1. Find the
number of successes x suggested by the given statement. Among 880 people
selected randomly from among the eligible voters in one city, 52.3% were
homeowners.
a. 458
b. 465
c. 462
d. 460
2. 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 FICO credit scores of adults: = 678. Sample data: n = 12, = 719, s = 92.
The sample data appear to come from a population with a distribution that is
not normal, and is unknown.
a. Normal
distribution
b. Student t
distribution
c. Neither
0
3. Assume
that a hypothesis test of the given claim will conducted. Identify the type I
or type II error for the test. A medical researcher claims that 20% of children
suffer from a certain disorder. Identify the type I error for the test.
a. Fail to reject
the claim that the percentage of children who suffer from the disorder is equal
to 20% when that percentage is actually 20%.
b. Reject the claim
that the percentage of children who suffer from the disorder is different from
20% when that percentage really is different from 20%.
c. Fail to reject
the claim that the percentage of children who suffer from the disorder is equal
to 20% when that percentage is actually different from 20%.
d. Reject the claim
that the percentage of children who suffer from the disorder is equal to 20%
when that percentage is actually 20%.

4. Assume
that you plan to use a significance level of
= 0.05 to test the claim that p1 = p2. Use the given sample sizes and
numbers for successes to find the P-value for the hypothesis test. n1 = 200. n2
= 100. x1 = 11. x2 = 8
a. 0.0201
b. 0.1011
c. 0.0012
d. 0.4020
Hint: Chapter 9
5. Find the
number of successes x suggested by the given statement. A computer manufacturer
randomly selects 2280 of its computers for quality assurance and finds that
2.72% of these computers are found to be defective.
a. 67
b. 60
c. 62
d. 65
6. Assume
that you plan to use a significance level of
= 0.05 to test the claim that P1 = P2. Use the given sample sizes and
numbers of successes to find the z test statistic for the hypothesis test. In a
vote on the Clean Water bill, 44% of the 205 Democrats voted for the bill while
46% of the 230 Republicans voted for it.
a. z = -0.355
b. z = -0.418
c. z = -0.251
d. z = -0.460
7. Formulate
the indicated conclusion in nontechnical terms. Be sure to address the original
claim. A researcher claims that the amounts of acetaminophen in a certain brand
of cold tablet have a standard deviation from the = 2.5 mg claimed by the manufacturer.
Assuming that a hypothesis test of the claim has been conducted and that the
conclusion is failure to reject the null hypothesis, state the conclusion in
nontechnical terms.
a. There is not
sufficient evidence to support the claim that the standard deviation is
different from 2.5 mg.
b. There is
sufficient evidence to support the claim that the standard deviation is
different from 2.5 mg.
c. There is
sufficient evidence to support the claim that the standard deviation is equal
to 2.5 mg.
d. There is not
sufficient evidence to support the claim that the standard deviation is equal
to 2.5 mg.
8. Find the
P-value for the indicated hypothesis test. In a sample of 47 adults selected
randomly from one town, it is found that 9 of them have been exposed to a
particular strain of the flu. Find the P-value for a test of the claim that the
proportion of all adults in the town that have been exposed to this strain of
the flu is 8%.
a. 0.0524
b. 0.0262
c. 0.0048
d. 0.0024
Hint: Section 8-3
9. Find the
P-value for the indicated hypothesis test. A manufacturer claims that fewer
than 6% of its fax machines are defective. In a random sample of 97 such fax
machines, 5% are defective. Find the P-value for a test of the manufacturer’s
claim.
a. 0.1591
b. 0.1736
c. 0.3264
d. 0.3409
10. Determine
whether the samples are independent or dependent if possible. To test the
effectiveness of Lipitor, cholesterol levels are measured in 250 subjects
before and after Lipitor treatments.
a. Dependent
b. Independent
c. Cannot be
determined
11. The effect
of caffeine as an ingredient is tested with a sample of regular soda and
another sample with decaffeinated soda.
a. Independent
samples
b. Dependent samples
12. Express
the null hypothesis and the alternative hypothesis in symbolic form. Use the
correct symbol (, p, ) for the indicated parameter. A researcher claims that
the amounts of acetaminophen in a certain brand of cold tables have a standard
deviation different from the – 3.3 mg
claimed by the manufacturer.
a. H0: 3.3 mg, H1:
= 3.3 mg
b. H0: < 3.3 mg, H1: > 3.3 mg
c. H0: = 3.3 mg, H1: 3.3 mg
d. H0: > 3.3 mg, H1: < 3.3 mg 13. Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, , of 45°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacture and claims he can prove that the true mean temperature is incorrect. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. a. There is not sufficient evidence to support the claim that the mean temperature is equal to 45°F. b. There is sufficient evidence to support the claim that the mean temperature is different from 45°F. c. There is sufficient evidence to support the claim that the mean temperature is equal to 45°F. d. There is not sufficient evidence to support the claim that the mean temperature is different from 45°F. 14. 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 IQ scores of statistics instructors: >100. Sample data: n =
15, = 118, s = 11. The sample data
appear to come from a normally distributed population with unknown and .
a. Normal
distribution
b. Student t
distribution
c. Neither
15. Find the
number of successes x suggested by the given statement. Among 900 people
selected randomly from among the residents of one city, 18.56% were found to be
living below the official poverty line.
a. 170
b. 171
c. 164
d. 167