(a) Malaysians are known to love their food, and have the habit of dining more than 3 times a day. To test this claim, a researcher collects data on a group of individuals in Penang to examine the number of times they actually dine in one day. The data (which can be treated as a continuous variable) is displayed below: Do the data support his claim? (Hint: Test the hypothesis that the average frequency of dining in a day is 3 . Show the details of the hypothesis testing procedure) (20 marks) (b) The mean lifetime of 200 laptops in a sample is 4,250 hours and their standard deviation is 150 hours. is the mean lifetime of all the laptops produced. Test the hypothesis that the sample comes from a population whose mean is 4,200 hours at 5% significance level? (10 marks) (c) Consider a random sample of 50 observations. The sample variance is 43.5. Construct a 99% confidence interval for 2 (10 marks)