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Assignment 11.1 - Test of Significance(150 pts) 1. The director of admissions at a large university says that 15% of high school juniors to whom she sends university literature eventually apply for admission. In a sample of 300 persons to whom materials were sent, 30 students applied for admission. (30 pts) a. In a two-tail test at the 0.01 level of significance, should we reject the director's claim? Based on your decision, which type of error could the sample data have led you to make? Explain what that means in the context of the question. 2. The Chekzar Rubber Company, in financial difficulties because of a poor reputation for product quality, has come out with an ad campaign claiming that the mean lifetime for Chekzar tires is 60,000 miles in highway driving. The editors of a consumer magazine are skeptical, and believe that it is actually less than 60,000 miles. They randomly purchase 36 of the tires and test them in highway use. The mean tire life in the sample is 58,341.69 miles, with a sample standard deviation of 3632.53 miles. (30 pts) editors