The length of wire, X, needed to hang a 12-inch by 16-inch painting is normally distributed with unknown mean, µ inches and known standard deviation o = 0.75 inches. We wish to create a confidence...

Extracted text: The length of wire, X, needed to hang a 12-inch by 16-inch painting is normally distributed with unknown mean, µ inches and known standard deviation o = 0.75 inches. We wish to create a confidence interval for H. We randomly select 13 such paintings and measure the amount of wire used in each. The sample gave a sample mean of x = 12.61 inches and a sample standard deviations = 0.75 inches. a)What is the critical value for a 95.0% confidence interval for u? b) Create a 95.0% confidence interval for u c) How long (in inches) is the 95.0% confidence interval for µ?