Refer to Exercise 7.77. Assume that the two samples represent independent, random samples corresponding to two treatments.

a. Calculate the treatment means, i.e., the means of samples 1 and 2, for both dot plots.

h. Use the means to calculate the Sum of Squares for Treatments (SST) for each dot plot.

c. Calculatc the sample variance for each sample and use these values to obtain the Sum of Squares for Error (SSE) for each dot plot.

d. Calculate the Total Sum of Squares [SS(Total)] for the two dot plots by adding thc Sums of Squares for Treatments and Error. What percentage of SS(Tota1) is accounted for by the treatments-that is, what percentage of the Total Sum of Squares is the Sum of Squares for Treatments-in each case?

e. Convert the Sum of Squares for Treatments and Error to mean squares by dividing each by the appropriate number of degrees of freedom. Calculate the F-ratio of the Mean Square for Treatments

(MST) to the Mean Square for Error (MSE) for each dot plot.

f. Use the F-ratios to test the null hypothesis that the two samples are drawn lrom populations with equal means. Use a = .05.
g. What assumptions must be made about the probability distributions corresponding to the responses for each treatment in order to ensure the validity of the F-tests conducted in part f?