A University Wants to See Whether There Is a Significant

Essay

A university wants to see whether there is a significant difference in the variances of the ages between day staffand night staff. A random sample of 31 staff members is selected from each group. The data are given below.Test the hypothesis that there is no difference in age between the two groups.Use α = 0.05. Day Staff
$\begin{array} { l l l l l l l l l l l } 22 & 24 & 24 & 23 & 19 & 19 & 23 & 22 & 18 & 21 & 21 \\ 18 & 18 & 25 & 29 & 24 & 23 & 22 & 22 & 21 & 20 & 20 \\ 20 & 27 & 17 & 19 & 18 & 21 & 20 & 23 & 26 & & \end{array}$
Evening Staff
$\begin{array} { l l l l l l l l l l l } 18 & 23 & 25 & 23 & 21 & 21 & 23 & 24 & 27 & 31 & 34 \\ 20 & 20 & 23 & 19 & 25 & 24 & 27 & 23 & 20 & 20 & 21 \\ 25 & 24 & 23 & 28 & 20 & 19 & 23 & 24 & 20 & & \end{array}$
Assume the samples were randomly selected from normal populations. 11.5 Putting It Together: Which Method Do I Use?1 Determine the appropriate hypothesis test to perform.