Please note that this question consists of five parts. Show…
Please note that this question consists of five parts. Show all your work. Just giving the answer without showing work may result in zero for the question. Data from a simple random sample of 121 Penn State seniors were collected. As a part of the study, they were asked below two questions: What is your current GPA? Are you planning on applying to graduate school? For the sampled 121 students, the average GPA is 3.6 and the standard deviation is 0.36. Find a 95% confidence interval for the average GPA of Penn State seniors. A recent study claims that the average undergraduate GPA in U.S. universities is about 3.4. Based on your calculation in part 1, are Penn State seniors doing better in terms of their GPA? In the sample of 121 students, 18 said they plan on applying to graduate school. Find a 95% confidence interval for the proportion of Penn State seniors who plan on going to graduate school. What conditions need to be satisfied in order for you to calculate the confidence interval in part 3? Are they satisfied? Rather than constructing a confidence interval, I decided to carryout the below hypothesis test. Formulated hypothesis is: