A random sample of 15 students majoring in computer science has an average SAT score (x-) of 1173 with a standard deviation of 85 (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 a computer science major was about H = 1143. We want to determine if the data indicate that the average SAT score for a computer science major should be higher than 1143 using a level of significance of a = 10%. A. Explain why we can use a Student's t distribution. How many degrees of freedom do we use? B. Compute the t value of the sample test statistic, USING THE t DISTRIBUTION FORMULA. Truncate to two decimal places