2. (12 marks) The manufacture of Drug A claims that the drug can significantly improve muscle strength in a month. A ran
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2. (12 marks) The manufacture of Drug A claims that the drug can significantly improve muscle strength in a month. A ran
2. (12 marks) The manufacture of Drug A claims that the drug can significantly improve muscle strength in a month. A random sample was taken from the users of the drug. The strength score, which is a measure of the muscle strength, of each user were recorded before they used the drugs and one month later. Case 1 Before 45 After 50 Drug A 2 3 4 5 6 7 8 9 10 11 12 52 50 48 30 60 59 47 28 50 43 40 57 50 53 39 62 55 50 40 47 51 41 Assume the strength score is normally distributed. (a) Construct a 95% confidence interval for the mean of the change (“After" – "Before") of muscle strength after taking Drug A. (4 marks) (b) Is there sufficient evidence to justify that the muscle strength of the users of Drug A is significantly improved? That is, the population mean of the change of muscle strength after taking Drug A is greater than 0. (8 marks)