Question: Instructions: Answer each question in two different ways - first by doing the calculations manually and second by using Excel. The solution to each question

Instructions: Answer each question in two different ways - first by doing the calculations manually and second by using Excel. The solution to each question should include the following: the appropriate calculations (showing all work), the Excel output, and the blanks filled in. The Excel output can either be submitted as an Excel file with each question on a different sheet, or as .pdf files.

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. 27 marks 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.

H0 : _______________________

H1 : _______________________

Conclusion: Reject H0 Do not reject H0

Reason for conclusion: _______________________________________________

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