A farmer wants to test if a new fertilizer will produce more massive crops. In order to do this, he randomly gathers the masses of several types of crops from the last growing season and the current growing season and compares them to see if the current growing season’s crops are more massive. Find the test statistic and degrees of freedom for an appropriate hypothesis test using the data set below. Let the difference d for each crop be computed as d=current year−previous year. Assume that the masses are normally distributed. Round the test statistic to three decimal places. Crop                 Previous Year Mass (grams)    Current Year Mass (grams)Tomato                           180.4                                         182.1Apple                               130.9                                        130.2Potato                             162.1                                        165.7Carrot                                61.9                                           65.1Cucumber                       198.4                                         200.2Onion                              108.5                                         106.1

Question

A farmer wants to test if a new fertilizer will produce more massive crops. In order to do this, he randomly gathers the masses of several types of crops from the last growing season and the current growing season and compares them to see if the current growing season’s crops are more massive. Find the test statistic and degrees of freedom for an appropriate hypothesis test using the data set below. Let the difference d for each crop be computed as d=current year−previous year. Assume that the masses are normally distributed. Round the test statistic to three decimal places.

Crop                 Previous Year Mass (grams)    Current Year Mass (grams)
Tomato                           180.4                                         182.1
Apple                               130.9                                        130.2
Potato                             162.1                                        165.7
Carrot                                61.9                                           65.1
Cucumber                       198.4                                         200.2
Onion                              108.5                                         106.1

 

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