a.
To find out whether the standard deviations satisfy the rule of thumb for safe use of ANOVA.
a.
Explanation of Solution
Given:
The following is the given table-
Calculation:
The largest standard deviation is 54 and smallest standard deviation is 30. The ratio of the largest standard deviation to smallest standard deviation is:
The ratio of the largest standard deviation to smallest standard deviation is less than 2. The standard deviations satisfy the rule of thumb for safe use of ANOVA.
b.
To find out whether ANOVA is safe for data.
b.
Explanation of Solution
Given:
The following is the given table-
Calculation:
All samples are greater than 30. Sample sizes are large enough to assume that sampling
c.
To calculate the overall mean response
c.
Explanation of Solution
Given:
The following is the given table-
Calculation:
Here
Compute combined sample mean:
Compute the sum of squares:
The
Compute mean sum of squares:
The ANOVA
Use MSEXCEL formula, to get.
The completed table is as shown below:
Since P-value is greater than 0.05, fail to reject the null hypothesis of equal means. Hence, conclude that there is insufficient evidence that the mean subcutaneous fat reductions of overweight adults who follow the three exercise programs differ.
d.
To obtain the ANNOVA f- static and P-test value also find out the evidence.
d.
Explanation of Solution
Given:
The following is the given table-
Calculation:
The ANOVA F-static:
Use MSEXCEL formula,
The completed table is as shown below:
Since P-value is greater than 0.05, fail to reject the null hypothesis of equal means. Hence, conclude that there is insufficient evidence that the mean subcutaneous fat reductions of overweight adults who follow the three exercise programs differ.
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Chapter 24 Solutions
Practice of Statistics in the Life Sciences
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