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(a)
To find: The
(a)
Answer to Problem 42E
Solution: The required
Explanation of Solution
Calculation: Follow the below described steps to compute the F-statistic value using Applet,
Step 1: To compute the F-statistic value select the option ‘Statistical Applets: One-Way Anova’ as shown in the screenshot below,
Step 2: The ANOVA window is displayed in the screenshot below,
Step 3: In the ANOVA window that appears drag the black dots until the p-value at the lower side of the window is set as 0.01. On moving the black dots, the corresponding means, standard deviations,
On a few configurations, the p-value is set at
As is evident from the applet, the
(b)
To find: The changes in
(b)
Answer to Problem 42E
Solution: The
Explanation of Solution
Calculation: Repeat Step 1 of part (a) and on sliding the standard deviations bar to the right, it is observed that there is a gradual drop in the
The corresponding
On sliding the standard deviation bar further to the right side, the following changes can be observed
The
On further adjustments,
Interpretation: The
(c)
To explain: The reason for a change in
(c)
Answer to Problem 42E
Solution: The
Explanation of Solution
An increase in within the group variations leads to a drop in the
Considering the p-value, in case of variations between the groups, the p-value tends to be high accounting for a significant difference between the groups. In case of within variability if the variability is quite large, then p-value does not yield any relevant inference.
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