Question

A farmer believes that the average pumpkin from his crop weighs at least 7 pounds. To...

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.

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