In: Statistics and Probability
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 13 9 35 20 30 26 30 10 12 20 18 Rich: 37 15 22 37 26 48 45 43 47 19 47 20 Assume both follow a Normal distribution. What can be concluded at the the α = 0.05 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at α = 0.05, 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. The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is not the same as the mean time in the shower for the twelve rich people that were surveyed. The results are statistically insignificant at α = 0.05, 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. The results are statistically insignificant at α = 0.05, 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.