Question 4 (a) A sample of test scores is obtained. The scores are displayed as follows: 11, 16, 19, 15, 7, 8, 10 Test t

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Question 4 (a) A sample of test scores is obtained. The scores are displayed as follows: 11, 16, 19, 15, 7, 8, 10 Test t

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Question 4
(a) A sample of test scores is obtained. The scores aredisplayed as follows: 11, 16, 19, 15, 7, 8, 10 Test the hypothesisthat the mean score is 15 at 1% significance level (10 marks).
(b) A chemical manufacturer is concerned about the degree ofcontamination in the raw material shipments purchased from asupplier. Taking a random sample of 20 shipments of raw materials,the standard deviation of contamination is 3.59. Construct the 95%confidence interval for population variance (10 marks)
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