Data summarized in the following table are om an experiment on how diet can inuence cognitive skills. After each subject received a dietary supplement for one week, they were tested and scored on their ability to solve a problem; a higher score indicates a better problem-solving ability. After a one-week rest and recovery period, the process was repeated with another diet, which was followed by one more rest period and one more diet. -\" mm nun-m PPP'P." .'49' 10. mun- What is the variance of scores for diet A? What is the variance of scores for diet B? What is the variance of scores for diet C? What is the overall variance for all three diets among the scores? Create a box plot showing scores for each diet. Based on that plot, which diet appears to yield the highest scores? What is the P-value for the F-statistic for the overall linear model? If you created a quantile-quantile plot showing standardized residuals as a function of standard normal quantiles, which part of the data deviates the most from the line? If you created a plot showing residuals as a rnction of the mean score associated with each diet, which diet exhibits the widest range of residuals? What is the width (difference between the upper and lower quantiles) of the 95% confidence interval for the mean score when diet A is used? What is the width (difference between the upper and lower quantiles) of the 95% condence interval for the mean score when diet C is used