(a) A sample of test scores is obtained. The scores are displayed as follows: 11, 16, 19, 15, 7, 8, 10 Test the hypothesis that the mean score is 15 at 1% significance level (10 marks).   (b) A chemical manufacturer is concerned about the degree of contamination in the raw material  shipments purchased from a supplier. 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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