1. Find an unbiased estimate of the population variance _2 from (a) the variation between treatments under the null hypothesis of equal treatment means and (b) the variation within treatments. (c)...

1. Find an unbiased estimate of the population variance _2 from (a) the variation between treatments under the null hypothesis of equal treatment means and (b) the variation within treatments. (c) Refer to the MINITAB output given in the solution and locate the variance estimates computed in parts (a) and (b).

2. Referring to Problem 16.4, can we reject the null hypothesis of equal means at significance levels of (a) 0.05 and (b) 0.01? (c) Refer to the MINITAB output given in the solution to Problem 16.4 to test the null hypothesis of equal means.

3. Use the shortcut formulas (10), (11), and (12) to obtain the results of Problem 16.4. In addition, use MINITAB on the data, from which 45 has been subtracted from each value, to obtain the analysis-of-variance-table.