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Question 2 A chocolate factory creates chocolate eggs with surprise toys inside. In order to prevent choking, the national health and safety board demands that toys must be larger than 1.5 inches wide. In order to remain open, the factory must prove that the average size of their toys is strictly greater than 1.5 inches wide. They take a sample of 179 eggs and measures the toys inside, finding an average of 1.58 inches with a standard deviation of 0.4. Do they have enough evidence to keep their factory open? Use 0.01 level of significance. A. State the null and the alternative hypotheses. B. Select the appropriate inference procedure and verify conditions for using it. Specify the rejection region. C. Calculate the value of the test statistic. D. State the test decision and conclusion