Please answer all questions clearly please! Suppose the Total Sum of Squares (SST) for a completely randomzied design with k=5k=5 treatments and n=15n=15 total measurements is equal to 500500. In each of the following cases, conduct an FF-test of the null hypothesis that the mean responses for the 55 treatments are the same. Use α=0.05α=0.05. (a) The Treatment Sum of Squares (SSTR) is equal to 300300 while the Total Sum of Squares (SST) is equal to 500500. The test statistic isF=F= The critical value is F=F= The final conclusion is: A. We can reject the null hypothesis that the mean responses for the treatments are the same and accept the alternative hypothesis that at least two treatment means differ. B. There is not sufficient evidence to reject the null hypothesis that the mean responses for the treatments are the same. (b) The Treatment Sum of Squares (SSTR) is equal to 450450 while the Total Sum of Squares (SST) is equal to 500500. The test statistic is F=F= The critical value is F=F=
Please answer all questions clearly please!
Suppose the Total Sum of Squares (SST) for a completely randomzied design with k=5k=5 treatments and n=15n=15 total measurements is equal to 500500. In each of the following cases, conduct an FF-test of the null hypothesis that the mean responses for the 55 treatments are the same. Use α=0.05α=0.05.
(a) The Treatment Sum of Squares (SSTR) is equal to 300300 while the Total Sum of Squares (SST) is equal to 500500.
The test statistic isF=F=
The critical value is F=F=
The final conclusion is:
A. We can reject the null hypothesis that the mean responses for the treatments are the same and accept the alternative hypothesis that at least two treatment means differ.
B. There is not sufficient evidence to reject the null hypothesis that the mean responses for the treatments are the same.
(b) The Treatment Sum of Squares (SSTR) is equal to 450450 while the Total Sum of Squares (SST) is equal to 500500.
The test statistic is F=F=
The critical value is F=F=
The final conclusion is:
A. We can reject the null hypothesis that the mean responses for the treatments are the same and accept the alternative hypothesis that at least two treatment means differ.
B. There is not sufficient evidence to reject the null hypothesis that the mean responses for the treatments are the same.
(c) The Treatment Sum of Squares (SSTR) is equal to 250250 while the Total Sum of Squares (SST) is equal to 500500.
The test statistic isF=F=
The critical value is F=F=
The final conclusion is:
A. We can reject the null hypothesis that the mean responses for the treatments are the same and accept the alternative hypothesis that at least two treatment means differ.
B. There is not sufficient evidence to reject the null hypothesis that the mean responses for the treatments are the same.
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