The following information applies to questions 8-10.

Go tohttps://rconnect.byu.edu/Stat121App/

On the left panel, select "Procedures for Means", then select "Two Sample T Procedures". Select the "Student Responses" dataset, then select "Married" as your categorical explanatory variable and "HoursSleep" as your quantitative response variable. Select "Yes" as Group 1 and "No" as Group 2, where "Yes" means a student is married and "No" means a student is not married. Generate boxplots of your data.

Question 8 1 pts 8. Calculate the standard deviation of the nightly amount of sleep for each group. Is the equal standard deviation condition met? o Yes, both sample standard deviations are less than 2. o Yes, 0.85/0.99 is less than 2. o Yes, 0.99/0.85 is less than 2. o No, the sample standard deviations are not exactly equal. Question 9 1 pts 9. Select "Proceed to Statistical Inference". Assuming the conditions are met, we want to test whether the amount of sleep is different between married and non-married BYU students. Calculate the test statistic and the p-value. Assuming that a = 0.05, what is the appropriate conclusion we should make? o Since the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a significant difference in hours slept between married and non-married BYU students. o Since the p-value is greater than 0.05, we reject the null hypothesis and conclude that there is a significant difference in hours slept between married and non-married BYU students. o Since the p-value is less than 0.05, we fail to reject the null hypothesis and conclude that there is not a significant difference in hours slept between married and non-married BYU students. o Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is not a significant difference in hours slept between married and non-married BYU students. Question 10 1 pts 0. Use the slider bar to calculate a 95% confidence interval at the bottom of the computer output. If we wanted to use a confidence interval instead of a hypothesis test to see if there is a significant difference in sleep between married and non-married BYU students, would we make the same conclusion as your previous answer? o No. The confidence interval does not contain 0, but we cannot make assumptions about whether married students or non-married students get more sleep. O No. We cannot use confidence intervals to make conclusions relating to hypothesis tests. o Yes. Because the confidence interval contains only positive values, that would imply that married students get more sleep than non-married students. o Yes. The hypothesis test told us what our conclusion should be, so it doesn't matter what the confidence interval is