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1 A random sample of 15 students majoring in computer science has an average SAT score of x = 1173 with a standard deviation of s = 85. Let x be a random variable representing the SAT score for all computer science majors. Assume the distribution of x is mound shaped and symmetric. Previous studies indicate that the average SAT score for computer science major was about u = 1143. We want to determine if the data indicate that the average SAT score for computer science major should be higher than 1143 using a level of significance of a = 5% 15 pts a) How many degrees of freedom do we use? (b) What are the null and alternate hypotheses? (c) Compute the t value of the sample test statistic. Truncate to two decimal places. d) Estimate the P-value for the test. (e) Do we reject or fail to reject HO? (f) Interpret the results