Question

In Exercises 5–20, assume that the two samples are independent
simple random samples

selected from normally distributed populations, and do not assume
that the population standard

deviations are equal. (Note: Answers in Appendix D include
technology answers based

on Formula 9-1 along with “Table” answers based on Table A-3 with
df equal to the smaller

of n11 and n21.)

BMI We know that the mean weight of men is greater than the mean weight of women, and the mean height of men is greater than the mean height of women. A person’s body mass index (BMI) is computed by dividing weight (kg) by the square of height (m). Given below are the BMI statistics for random samples of females and males taken from Data Set 1 “Body Data” in Appendix B. a. Use a 0.05 significance level to test the claim that females and males have the same mean BMI. b. Construct the confidence interval that is appropriate for testing the claim in part (a). c. Do females and males appear to have the same mean BMI? Female BMI: n = 70, x = 29.10, s = 7.39 Male BMI: n = 80, x = 28.38, s = 5.37

Answer #1

8. We know that the mean weight of men is greater than the mean
weight of women, and the mean height of men is greater than the
mean height of women. A person’s body mass index (BMI) is computed
by dividing weight (kg) by the square of height (m). Use α = 0.05
significance level to test the claim that females and males have
the same mean BMI. Below are the statistics for random samples of
females and males. Female...

Given in the table are the BMI statistics for
random samples of men and women. Assume that the two samples are
independent simple random samples selected from normally
distributed populations, and do not assume that the population
standard deviations are equal. Complete parts (a) and (b) below.
Use a 0.01 significance level for both parts.
Male BMI
Female BMI
μ
μ1
μ2
n
50
50
x̄
27.7419
26.4352
s
8.437128
5.693359
a) Test the claim that males and females have...

7. Given in the table are the BMI statistics for random samples
of men and women. Assume that the two samples are independent
simple random samples selected from normally distributed
populations, and do not assume that the population standard
deviations are equal. Complete parts (a) and (b) below. Use a
0.05 significance level for both parts.
Male BMI
Female BMI
µ
µ1
µ2
N
48
48
xˉ
27.6431
26.5609
s
7.105107
4.438441
The test statistic, t, is ____
(Round to...

Perform the indicated hypothesis test. Assume that the
two samples are independent simple random samples selected from
normally distributed populations.
1) A researcher was interested in comparing the amount of time
spent watching television by women and by men. Independent simple
random samples of 14 women and 17 men were selected, and each
person was asked how many hours he or she had watched television
during the previous week. The summary statistic are as follows.
Women: xbar1= 12.2hr s1= 4.4...

Assume that the two samples are independent simple
random samples selected from normally distributed
populations.
Do not assume that the population standard deviations
are equal.
A researcher wishes to determine whether the blood pressure of
vegetarians is, on average, lower than the blood pressure of
nonvegetarians. Independent simple random samples of 85 vegetarians
and 75 nonvegetarians yielded the following sample statistics for
systolic blood pressure
Vegetarians Nonvegetarians n =
85
x1 = 124.1 mmHg x2 = 138.7 mmHg s1...

Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal. Simple
random samples of high-interest (8.7%) mortgages and
low-interest (6.3%) mortgages were obtained. For the 50
high-interest mortgages, the borrowers had a mean credit score of
595.3 and a standard deviation of 12.8. For the 50 low-interest
mortgages, the borrowers had a mean credit score of 761.1 and a
standard deviation of 16.2. Use a...

Given in the table are the BMI statistics for random samples of
men and women. Assume that the two samples are independent simple
random samples selected from normally distributed populations, and
do not assume that the population standard deviations are equal.
Complete parts (a) and (b) below. Use a 0.010.01 significance
level for both parts. Male BMI Female BMI muμ mu 1μ1 mu 2μ2 n 4545
4545 x overbarx 28.274128.2741 25.171825.1718 s 7.4101397.410139
4.3731854.373185

For all hypothesis tests: Assume all samples are simple
random samples selected from normally distributed populations. If
testing means of two independent samples, assume variances are
unequal. For each test give the null and alternative hypothesis,
p-value, and conclusion as it relates to the claim.
In a random sample of 360 women, 65% favored stricter gun
control laws. In a random sample of 220 men, 60% favored stricter
gun control laws. Test the claim that the proportion of women
favoring...

Assume that both samples are independent simple random
samples from populations having normal distributions.
4) A researcher obtained independent random samples of men from two
different towns. She recorded the weights
of the men. The results are summarized below:
Town A Town B
n1= 41 n 2 = 21
x1 = 165.1 lb x2 = 159.5 lb
s1 = 34.4 lb s2 = 28.6 lb
Use a 0.05 significance level to test the claim that there is more
variance in...

Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a
0.010.01
significance level to test the claim that the sample of home
voltages and the sample of generator voltages are from populations
with the same mean. If there is a statistically significant
difference, does that difference have practical significance?
Day
HomeHome
left parenthesis volts right parenthesis(volts)
GeneratorGenerator...

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