Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 25 11 34 26 28 26 14 26 18 8 31 25 27 Rich: 40 21 33 19 25 55 31 26 29 55 41 27 19 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance?

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Do the poor spend the same amount of time in the shower as the
rich? The results of a survey asking poor and rich people how many
minutes they spend in the shower are shown below.
Poor 25
11
34
26
28
26
14
26
18
8
31
25
27
Rich: 40
21
33
19
25
55
31
26
29
55
41
27
19
Assume both follow a Normal distribution. What can be concluded
at the the a = 0.01 level of significance level of significance?
For this study, we should use -test for the difference between two indepandent population means
a. The null and alternative hypotheses would be:
Но:
u1
of
of
H:
of
b. The test statistic a
decimal places.)
(please show your answer to 2
c. The p-value =
places.)
d. The p-value is
(Please show your answer to 4 decimal
e. Based on this, we should (fai to reject
D the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically insignificant at a = 0.01, so
there is insufficient evidence to conclude that the
population mean time in the shower for the poor is not the
same as the population mean time in the shower for the
rich.
OThe results are statistically insignificant at a = 0.01, so
there is statistically significant evidence to conclude that
the population mean time in the shower for the poor is
equal to the population mean time in the shower for the
rich.
O The results are statistically significant at a = 0.01, so there
is sufficient evidence to conclude that the population mean
time in the shower for the poor is not the same as the
population mean time in the shower for the rich.
O The results are statistically significant at a = 0.01, so there
is sufficient evidence to conclude that the mean time in
the shower for the thirteen poor people that were surveyed
is not the same as the mean time in the shower for the
thirteen rich people that were surveyed.
of
Transcribed Image Text:Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 25 11 34 26 28 26 14 26 18 8 31 25 27 Rich: 40 21 33 19 25 55 31 26 29 55 41 27 19 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use -test for the difference between two indepandent population means a. The null and alternative hypotheses would be: Но: u1 of of H: of b. The test statistic a decimal places.) (please show your answer to 2 c. The p-value = places.) d. The p-value is (Please show your answer to 4 decimal e. Based on this, we should (fai to reject D the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is not the same as the population mean time in the shower for the rich. OThe results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is not the same as the population mean time in the shower for the rich. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean time in the shower for the thirteen poor people that were surveyed is not the same as the mean time in the shower for the thirteen rich people that were surveyed. of
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