Do the poor spend less time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 17 25 35 14 21 39 21 8 30 35 23 Rich: 28 40 54 46 52 30 33 26 12 29 39 25 48 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 t-test for the difference between two indecendent population means a. The null and alternative hypotheses would be: | (please enter a decimal) | (Please enter a decimal) He: p1 p2 u2 b. The test statistic = -2.501 (please show your answer to 3 decimal places.) c. The p-value = 0.0157 d. The p-value is ? v a (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer )the null hypothesis. f. Thus, the final conclusion is that . 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 less than 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 eleven poor people that were surveyed is less than the mean time in the shower for the thirteen rich people that were surveyed. O The 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 insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is less than the population mean time in the shower for the rich.

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Do the poor spend less time in the shower than the rich? The results of a survey asking poor and rich people
how many minutes they spend in the shower are shown below.
Poor 17 25 35 14 21 39 21 8 30 35 23
Rich: 28 40 54 46 52 30 33 26 12 29 39
25
48
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 t-test for the difference between two independent population means V
a. The null and alternative hypotheses would be:
Hn: p1
p2
v(please enter a decimal)
H: p1
p2
v (Please enter a decimal)
b. The test statistic ? v= -2.501
(please show your answer to 3 decimal places.)
c. The p-value =0.0157
d. The p-value is ?va
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places.)
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 less than the population mean
time in the shower for the rich.
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 eleven poor people that were surveyed is less than
the mean time in the shower for the thirteen rich people that were surveyed.
O The 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 insignificant at a = 0.01, so there is insufficient evidence to
conclude that the population mean time in the shower for the poor is less than the population
mean time in the shower for the rich.
Transcribed Image Text:Do the poor spend less time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 17 25 35 14 21 39 21 8 30 35 23 Rich: 28 40 54 46 52 30 33 26 12 29 39 25 48 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 t-test for the difference between two independent population means V a. The null and alternative hypotheses would be: Hn: p1 p2 v(please enter a decimal) H: p1 p2 v (Please enter a decimal) b. The test statistic ? v= -2.501 (please show your answer to 3 decimal places.) c. The p-value =0.0157 d. The p-value is ?va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) 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 less than the population mean time in the shower for the rich. 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 eleven poor people that were surveyed is less than the mean time in the shower for the thirteen rich people that were surveyed. O The 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 insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is less than the population mean time in the shower for the rich.
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