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Question 4 (10 points) Suppose a new standardized test is given to 100 randomly selected third- on the test is 58, and the grade students in New Jersey. The sample average score sample standard deviation, sy, is 8. evel. (a) Test Ho : μY-60 vs H1 : μYメ60 at a 1% significance (b) Construct a 90% confidence interval for the mean score of all New Jersey third graders (c) Suppose the same test is given to 200 randomly selected third graders from Iowa, producing a sample average of 62 and sample standard deviation of 11. Test the hypothesis that the population means for Iowa and New Jersey students are different at a 5% significance level (Ho : μΥ-μ. vs H, : ,INJ ,4). Assume that VarYNJ]メVary!]

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