question 24

Shatia believes that students in Statistics 311 do worse in their final exams when the course is taught online, compared to when the course is taught in-person. She collected a random sample of 926 students in in-person course and a random sample of 788 students in online course, and conducted a hypothesis test, where Ho : HI = #2 VS. HA : HI # HE where aj is the true mean score of the final exam taken by students in in-person course, and #2 is the true mean score of the final exam taken by students in online course. Using a = 0.1, her test statistic was / = 1.01. Assume that all conditions for conducting a hypothesis test are satisfied. Which of the following statements are true? Select one or more: a, If we were to calculate the 90% confidence interval for this data, then the critical value would come from a T distribution with 787 degrees of freedom. " b. If we were to calculate the 90% confidence interval using the same samples, then we would expect zero to be inside the confidence interval. " c. If we use significance level of Valpha) = 0.05, then we would reject the null hypothesis. d. We are 90% confident that the difference in mean score of the final exam taken by the 926 students in in-person course sampled and that of 788 students in online course sampled is between 1.8 and 4.3