Exam Prep Company An exam prep company states that students who take their prep course improve by an average of 8 points on a post-test as compared to their pre-test score. Based on the results of a random sample of 16 students who have taken the prep course, you construct a 90% confidence interval for ud and find it to be (8.21 points, 11.75 points). Assume the necessary conditions for conducting the confidence interval and hypothesis test are met. Question 1 Subquestions 1 .a TBD points You wish to test the hypotheses H0: pd = 8 points versus Ha: pd 8 points. Which of the following are correct statements? Select all that are correct. You would reject the null hypothesis at the 10% level because this confidence interval does not contain 0. [- You would fail to reject the null hypothesis at the 10% level because this confidence interval does not contain 0.10 You would reject the null hypothesis at the 10% level because the interval does not contain 8. You would fail to reject the null hypothesis at the 10% level because the interval does not contain 8. The p-value for the test is more than 0.1. The p-value for the test is less than or equal to 0.1. A mistake has been made as the confidence interval should contain 8 about 90% of the time. 1 .b Based on the 90% confidence interval of (8.21, 11 .75) points and using the same data, which of the following are reasonable 95% confidence intervals TBD points for the population mean difference in exam scores before and after taking an exam prep course? Select any that may apply. I' "' (7.83, 12.13) points 7' (7.53, 11.83) points 7' (8.45, 11.51) points 7' (8.63, 11.33) points 7' Cannot be determined with the information given. 1 .c 1 poin 1(5) You may assume that a random sample was selected. You remember that the remaining assumption has something to do with normality. Which of the following is a correct statement of that assumption in context. |~ The population mean difference in exam scores before and after taking an exam prep course follows a normal distribution. The differences in exam scores before and after taking an exam prep course for the population of students follow a normal distribution. The sample of differences in exam scores before and after taking an exam prep course for the 16 students follow a normal distribution