Chapter 12.1, Problem 16E

(a)

To determine

Whether the assumption of equal standard deviation should be used to analyze the provided data.

(b)

To determine

To find: The variances for the three groups.

(c)

To determine

To find: The pooled variances.

(d)

To determine

To find: The pooled standard deviation.

(e)

To determine

To explain: The reason for $s_p^{}$ to be closer to $s_3^{}$ than other standard deviations.