Suppose that on a 100-point test, the teacher's goal is for her students' exam scores to have a standard deviation of less than 8 points. A recent sample of 23 exams has a sample standard deviation of 6.3. a. Test whether or not her goal was achieved using a = 0 05. b. Use technology to find the p-value and interpret the result a. Identify the null and alternative hypotheses Ho Calculate the appropriate test statistic X =0 (Round to two decimal places as needed.) Determine the appropriate critical value(s) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is the the null hypothesis. There is evidence to conclude that the students' exam scores have a standard deviation V 8 points b. The p-value is (Round to three decimal places as needed.)