Clayton Kershaw of the Los Angeles Dodgers is one of the premier pitchers in baseball. His most popular pitch is a four-seam fastball. The accompanying data represent the pitch speed (in miles per hour) for a random sample of 15 of his four-seam fastball pitches. Complete parts (a) through (f). Click here to view the data table. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Click here to view a table of critical values for the correlation coefficient. (d) Are the requirements for constructing a confidence interval for the mean pitch speed of Clayton Kershaw's four- seam fastball satisfied? An interval be constructed because the data approximately normal and there (e) Construct and interpret a 95% confidence interval for the mean pitch speed of Clayton Kershaw's four-seam fastball. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is a 95% probability that the mean pitch speed of Kershaw's four-seam fastball is between miles per hour. (Round to two decimal places as needed. Use ascending order.) and OB. 95% of Kershaw's four-seam fastballs are between and miles per hour. (Round to two decimal places as needed. Use ascending order.) OC. One can be 95% confident that the mean pitch speed of Kershaw's four-seam fastball is between miles per hour. (Round to two decimal places as needed. Use ascending order.) OD. The interval cannot be found. (f) Do you believe that a 95% confidence interval for the mean pitch speed of four-seam fastballs for all major league pitchers' would be narrower or wider? Why? and The interval for all pitchers in a league would be because the variability between pitchers is most likely than the variability between pitches for one pitcher.