Question

# Exercise 1 Suppose that n = 100 of your favorite brand of candy bar are randomly sampled and their weights (in grams) are measured. A 95% confidence interval for the mean weight is 42 < µ < 48.Choose the best answer for each of these. (a) Would a 99% confidence interval calculated from the same sample data be tighter or wider? Tighter or Wider (b) Consider the following statement: There is a 95% chance that u is between 42 and 48.Note: If you answer true, then you are saying that u is a random entity. True or False (c) Consider the following statement: There is a 95% chance that the interval [42, 48] contains u.Note: If it is true, then you are saying that the confidence interval is a random entity. True or False (d) Consider the following statement: If n = 100 candy bars are randomly sampled and the 95%confidence interval for u was computed, and this process were repeated 1000 times, then approximately 950 of the confidence intervals would contain the true value of H. True or False  Fig: 1  Fig: 2  Fig: 3  Fig: 4  Fig: 5  Fig: 6  Fig: 7  Fig: 8  Fig: 9  Fig: 10