A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the same could not be rejected using two-tailed test at a significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. MITIMI upiny y M HIV мы B. The 95% interval would capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. C. The 95% interval would not capture 0, because there appears to be a difference between the mean amounts spent on clothing from looking at the data. D. The 95% interval would not capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. A. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. C. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% confidence interval for the difference between means, and explain what it shows. The 95% confidence interval for women - men is ().
A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the same could not be rejected using two-tailed test at a significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. MITIMI upiny y M HIV мы B. The 95% interval would capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. C. The 95% interval would not capture 0, because there appears to be a difference between the mean amounts spent on clothing from looking at the data. D. The 95% interval would not capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. A. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. C. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% confidence interval for the difference between means, and explain what it shows. The 95% confidence interval for women - men is ().
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
c?
Transcribed Image Text:A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how
much they spent on clothing in the last month. The accompanying table shows the data. Suppose the null hypothesis
that the mean amount spent by men and the mean amount spent by women for clothing are the same could not be
rejected using two-tailed test at a significance level of 0.05. Complete parts a through c below.
Click the icon to view the data table.
MITIME upum un vivaning invisning un
ssss.
B. The 95% interval would capture 0, because the hypothesis that the mean amounts spent on clothing are the
same could not be rejected by the hypothesis test.
C. The 95% interval would not capture 0, because there appears to be a difference between the mean amounts
spent on clothing from looking at the data.
OD. The 95% interval would not capture 0, because the hypothesis that the mean amounts spent on clothing are
the same could not be rejected by the hypothesis test.
b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain.
Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the
results of the hypothesis test, a 95% interval would capture 0.
B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the
results of the hypothesis test, a 95% interval would not capture 0.
C. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the
results of the hypothesis test, a 95% interval would capture 0.
O D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the
results of the hypothesis test, a 95% interval would not capture 0.
c. Find a 95% confidence interval for the difference between means, and explain what it shows.
The 95% confidence interval for women - men is
Transcribed Image Text:Sex
m
f
m
f
f
f
f
EEEEEEE
$clothes
200
220
10
125
160
70
50
120
30
160
210
120
190
60
60
50
110
Sex
f
m
ειειειειεε
m
m
m
m
m
333
f
f
m
f
f
Full Data Set
$clothes
210
90
180
45
190
20
80
90
10
90
170
50
60
170
120
160
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