1. In a random sample of 40 refrigerators, the mean repair cost was $150. Assume the population standard deviation 0 = $15.5. a. Construct a 99% confidence interval for the population mean repair cost. Interpret the interval in the context of the problem. [Use Algebra first then Tech next] (4 points) b. Repeat exercise 1(a), changing the sample size to n = 60. Which confidence interval has better estimate? Why? Explain? [Use Algebra first then Tech next] (3 points) c. Repeat exercise 1(a), using a population standard deviation of o = $19.5. Which confidence interval is wider? Explain? [Use Algebra first then Tech next] (3 points)