Question

We would like to investigate whether that is a difference in variance in age between the boys soccer team and the girls soccer team. I have collected a sample of 10 boys and 10 girls and input the data in excel. The following are the descriptive statistics.
boys      girls     
          
Mean   8.6   Mean   8.3
Standard Error   0.4   Standard Error   0.2134375
Median   9   Median   8
Mode   9   Mode   8
Standard Deviation   1.264911064   Standard Deviation   0.6749486
Sample Variance   1.6   Sample Variance   0.4555556
Kurtosis   -1.662946429   Kurtosis   -0.2829948
Skewness   -0.279993334   Skewness   -0.4336374
Range   3   Range   2
Minimum   7   Minimum   7
Maximum   10   Maximum   9
Sum   86   Sum   83
Count   10   Count   10
I would like you to test at the 5% level if there is a difference in variance in age between the boys and girls soccer teams.

a. State the null and alternative hypotheses.

b. Calculate your test statistic.

c. Calculate your P-Value or decision rule with critical value shown.

Answer 1

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