Question: 2. Normal Sample Mean and Sample Variance, Part 1 Let be i.i.d. with mean and variance . Let denote the sample mean. In Homework 7,

2. Normal Sample Mean and Sample Variance, Part 1 Let be i.i.d. with mean and variance . Let denote the sample mean. In Homework 7, you constructed a random variable called the sample variance. Before proceeding, please review Homework 7, Question 5 in its entirety. a) For let . Find . b) Now assume in addition that are i.i.d. normal . What is the joint distribution of ? Explain why isn't on the list. c) True or false (justify your answer): The sample mean and sample variance of an i.i.d. normal sample are independent of each other

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