A researcher wants to know whether the amount of stress is different for three groups of employees. The data set below is a sample from the three groups.
4P.M. to midnight : 8 6 6 9 8 7 6 7 8 9
midnight to 8 A.M. : 4 5 3 5 4 6 5 4 5 5 6 7 6
8 A.M.to 4 P.M. : 1 2 2 3 1 1 2 6 5 4 3 4 5
Sample Mean ()
Sample Variance ()
Total Mean ()
Please conduct an ANOVA analysis based on the following steps.
a. Specify your null hypothesis (H9) and alternative hypothesis (H1)
b. Calculate the sample means for the three groups.
c. Calculate the sample variances for the three groups.
d. Calculate the total mean of the 36 samples.
e. Calculate the sum of squares of between group variation (SS between)
f. Calculate the sum of squares of within group variation (SS within)
g. Fill in the blanks of the ANOVA table and calculate the F value.