Clayton Kershaw of the Los Angeles Dodgers is one of the premier pitchers in baseball His most popular pit 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 Since the absolute value of the correlation coefficient between the expected z scores and the ordered observed data is reasonable to conclude that the data come from a 0 994 the critical value 0 514 it exceeds population that is normally distributed Round to three decimal places as needed c Draw a boxplot to verify the data set has no outliers Which boxplot below represents the data OA OB 90 95 Speed mph 100 An interval Q 90 95 Speed mph 100 E be constructed because the data O C OD The interval cannot be found 90 OB 95 of Kershaw s four seam fastballs are between 95 Speed mph 100 The interval for all pitchers in a league would be Q O D d Are the requirements for constructing a confidence interval for the mean pitch speed of Clayton Kershaw s four seam fastball satisfied 90 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 OA There is a 95 probability that the mean pitch speed of Kershaw s four eam fastball is between miles per hour Round to two decimal places as needed Use ascending order than the variability between pitches for one pitcher 95 100 Speed mph miles per hour and 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 Q and 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 because the variability between pitchers is most likely