A certain instructor has seen her students score an average of 78 on past final exams. Believing that her students perform better now, she takes a random sample of 33 students and finds an average score of 80 with a standard deviation of B.8. Is there sufficient evidence at the 10% level of significance to support the teacher's belief that her students average higher than 78 on the final exam? al What is the p-value for this test? 0.1014 b) How many degrees of freedom are used to determine this p-value? 32 c) What is the decision of the test? (reject the null or fall to reject the null) fall to reject the nul d) Suppose that instead of 80 for a sample mean, this teacher got a result of 81. What would the T-stat be for x = 81 ?|20 Round your value to 1 decimal place. e) Based on the T-stat found in part d, would we make the same decision as in part c? Yes or No