7. A school district claims that the average score for their district on the standardized test in #6 is / = 89. You would like to conduct a hypothesis test on this claim. The school district gave their population standard deviation as o = 10. You have collected the scores of 15 students' scores, which are listed below. Conduct a hypothesis test about the mean by completing the following steps. Assume the population is normally distributed and use a = .10. 89, 92, 77, 66, 55, 77, 78, 70, 88, 90, 91, 85, 82, 88, 99 a. What is the average of the test scores? (2 points) b. State the hypotheses (words and symbols). (5 points) Ho : ME 81.8 HA : M > 81 . 8 c. Which hypothesis has the claim? (2 points) (mog O sylev isowho eat to landis timid b d. Calculate the z-score. (5 points) Is tons (Hoglerob whoed) nowest me some to e. Find either P or the critical value. (2 points) f. State your decision (reject or do not reject Ho) and explain how you reached that decision. (2 points)