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Mathematics, 11.05.2021 21:00 jessicaortiz6

The mean weight of cherry tomatoes on a farm is about 57 grams. The farmer is interested in testing a new type of fertilizer. They use the fertilizer on a particular patch and after the harvest, the mean weight of the tomatoes is 62 grams. They perform a t-test, with the null hypothesis being that the mean of all tomatoes grown with the new fertilizer is equal to 57 grams, and the alternative is that the mean is greater than 57 grams. There is a chance that they will mistakenly conclude the fertilizer improves the size of tomatoes when, in fact, it does not and they just got lucky with this particular crop. They wish to make sure the probability of making this mistake is no more than 8%. Below are four different p-values that they might get from their analysis. For which p-value should they reject the null hypothesis? a. 0.10
b. 1.00
c. 0.15
d. 0.07

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