An agricultural field trial compares the yields of two varieties of tomatoes for commercial use. The researchers divide in half each of eight small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest, they compare the yields in pounds per plant at each location considering the eight differences(Variety AVariety B).(Variety AVariety B).

After conducting the onesample test, the tomato experts were not able to reject the null hypothesis. They suspect that the relative lack of significance there is due to low power. They would like to be able to detect a mean difference in yields of 0.30.3 pound per plant at the 0.050.05 significance. Use 0.510.51 as an estimate of both the population standard deviation and the value of the sample standard deviation in futuresamples.

Q1: What is the power of the test with =10=10 for the alternative=0.3?

Q2: If the sample size is increased to =15=15 plots of land, what will be the power for the samealternative?