2 points) Use the following information for all parts of this problem. On a particular golf course, a sample of 37 golfers have a mean golf score of 71. Suppose the population standard deviation for this course is 3.49. Part 1: Using the formula a 90% confidence interval as presented in lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. To enter vx where x is any number, type sqrt(x). For example, v2 should be typed as sqrt(2). to Part 2: Part 3: Part 4: Part 5: Part 6:(1 point) Justin is interested in buying a digital phone. He visited 9 stores at random and recorded the price of the particular phone he wants. The sample of prices had a mean of $237.43 and a standard deviation of $33.72. (a) What critical value * should be used for a 95% confidence interval for the mean, #, of the distribution? (b) Calculate a 95% confidence interval for the mean price of this model of digital phone: (Enter the smaller value in the left answer box.) Note: Round your answer to 2 decimal places. $to $(1 point) Suppose we want a 95% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent lems has a normal distribution with standard deviation $29. How large should the sample be if the margin of error is to be less than $5