The article first introduced in Exercise 13. 29 of Section 13. 3 gave data on the dimensions of 27 representative food products.
a. Use the data set given there to test the hypothesis that there is a positive linear relationship between x = minimum width and y = maximum width of an object.
b. Calculate and interpret se.
c. Calculate a 95% confidence interval for the mean maximum width of products with a minimum width of 6 cm.
d. Calculate a 95% prediction interval for the maximum width of a food package with a minimum width of 6 cm.