The operations manager of a plant that manufactures tires wishes to compare the actual inner diameter of two grades of tires, each of which has a nominal value of 575 millimeters. A sample of five tires of each grade is selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows:

Grade X

568 570 575 578 584

Grade Y

573 574 575 577 578

a. For each of the two grades of tires, compute the mean, median, and mode.

b. Compute and Interpret S

c. Which grade of tire is providing better quality? Explain.

d. What would be the effect on your answers in (a) if the last value for grade Y were

888 instead of 578?

given that the operations manager of a plant that manufactures tires wishes to compare the actual inner diameter of two grades of tires, each of which has a nominal value of 575 millimeters. A sample of five tires of each grade is selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows:

Grade X

568 570 575 578 584

Mean = Total/5 = 575

Median = middle entry = 575

Mode = nil

Grade Y

573 574 575 577 578

Mean = sum/5 = 575.4

Median = middle entry =575

Mode = nil