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A University Wants to See Whether There Is a Significant

question 109

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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
22242423191923221821211818252924232222212020202717191821202326\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
18232523212123242731342020231925242723202021252423282019232420\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.


Definitions:

First-born Children

Children born first in their family, who often exhibit specific personality traits and developmental influences due to their birth order.

Only Children

Individuals who have grown up without siblings, often considered in psychological studies for their unique developmental aspects.

Fictional Finalism

A principle in Adlerian psychology proposing that an individual is motivated more by his or her expectations of the future than by past experiences.

Dominant Type

In personality theory, this refers to the primary or most influential trait or pattern within an individual's personality.

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