The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes, and study habits of college students. Scores are normally distributed with a mean of 115. A researcher suspects that incoming freshmen have a mean which is greater than 115 because they are often excited yet anxious about entering college. The researcher gives the SSHA to 100 incoming freshmen and observes a mean score of 121 with standard deviation 25. Assume that the scores of all incoming freshmen are approximately Normal and that the population standard deviation is unknown. (You may not need all of the following symbols, but please type "mu" for u, "sigma" for o, "neq" for #, and don't include extraneous spaces). a. What is the null hypothesis? b. What is the alternative hypothesis? c. When you perform the hypothesis test, what is the resulting p-value? Round your answer to 3 decimal places. d. Should the researcher reject the null hypothesis at the a = .05 level of significance? Type "reject" or "do not reject". e. Write a proper conclusion. This will be graded separately by the instructor, although it will likely be marked incorrect initially. There is (type "sufficient" or "insufficient") evidence at the a = .05 level of significance to conclude that f. What would it mean for the researcher to make a Type I error? This will be graded separately by the instructor, although it will likely be marked incorrect initially. The researcher would claim that the mean SSHA score of incoming freshmen is