Clayton Kershaw of the Los Angeles Dodgers is one of the premier pitchers in baseball His most popular pitch is K 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 a Is pitch speed a quantitative or qualitative variable Why is it important to know this when determining the type of confidence interval you may construct The variable pitch speed is a 10 qualitative data with b Draw a normal probability plot Then determine whether pitch speed could come from a population that is normally distributed by using the correlation coefficient of the normal probability plot 3 Which normal probability plot below represents the data OA O B 90 are constructed on quantitative data while confidence intervals for a A 100 Speed mph Q Q 95 100 Speed mph 90 variable This is important to know because confidence intervals for a Y are constructed on Speed mph Which boxplot below represents the data A B 90 that is normally distributed Round to three decimal places as needed c Draw a boxplot to verify the data set has no outliers 100 95 Speed mph Q 100 O C 3 O C 95 90 105 Speed mph Using the correlation coefficient of the normal probability plot is it reasonable to conclude that the population is normally distributed Since the absolute value of the correlation coefficient between the expected z scores and the ordered observed data reasonable to conclude that the data come from a population the critical value it 95 Q Q D 100 0 2 3 90 ma O D 90 100 Speed mph Q 95 5