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 10 40 27 27 29 22 18 23 11 33 29 19

Rich: 17 35 47 42 32 45 29 35 44 18

Assume both follow a Normal distribution. What can be concluded at the the = 0.10 level of significance level of significance?

For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means z-test for a population proportion

1. The null and alternative hypotheses would be:

H0:H0: Select an answer p1 1 Select an answer = < > Select an answer p2 2 (please enter a decimal)

H1:H1: Select an answer 1 p1 Select an answer = < > Select an answer p2 2 (Please enter a decimal)

1. The test statistic ? t z = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? >
4. Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
5. Thus, the final conclusion is that ...
   • The results are statistically significant at = 0.10, so there is sufficient evidence to conclude that the mean time in the shower for the twelve poor people that were surveyed is less than the mean time in the shower for the ten rich people that were surveyed.
   • The results are statistically insignificant at = 0.10, 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.
   • The results are statistically insignificant at = 0.10, 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.
   • The results are statistically significant at = 0.10, 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.