A farmer believes that the average pumpkin from his crop weighs at least 7 pounds. To test his claim, he selects 15 pumpkins randomly and weighs them. The weights

(in pounds) are listed below.

4.8 7.8 5.9 10.1 7.2 8.1 6.0 9.3

6.7 4.3 8.3 6.9 10.0 9.2 6.8

The sample statistics are: = 7.43, = 1.77

Can the farmer infer, at the 5% significance level, that his claim is true? Assume the

required conditions are satisfied.

Calculate answers manually and in excel.