Unformatted text preview: 3. (a) MSE 2 9659, J i 12 for all i . There are 7 comparisons to be made. Now t 88 025 7 2 754, so the 5% critical value is 2 754 2 9659 1 12 1 12 1 936. All the sample means of the noncontrol formulations differ from the sample mean of the control formulation by more than this amount. Therefore we conclude at the 5% level that all the noncontrol formulations differ from the control formulation. (b) There are 7 comparisons to be made. We should use the Studentized range value q 7 88 05 . This value is not in the table, so we will use q 7 60 05 4 31, which is only slightly larger. The 5% critical value is 4 31 2 9659 12 2 14. All of the noncontrol formulations differ from the sample mean of the control formulation by more than this amount. Therefore we conclude at the 5% level that all the noncontrol formulations differ from the control formulation....
View
Full Document
 Fall '11
 MattGilg
 Statistics, critical value, Multiple comparisons, noncontrol formulations, control formulation

Click to edit the document details