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1) A farm sells watermelons at a local grocery store. The farmer must provide watermelons that...

1) A farm sells watermelons at a local grocery store. The farmer must provide watermelons that are at least 17 pounds, otherwise the store will get its watermelons from another source. A single shipment of 15 watermelons from this farm has an average weight of 16.62 lbs. Let the weight of all watermelons from this farm follow a normal distribution.

a) Suppose the standard deviation of the weight of all watermelons from this farm be 0.65 lbs. Is there enough evidence to suggest that the grocery store needs to get their watermelons from another source? Test the appropriate hypothesis by computing the p-value and comparing it to a 5% significance level.

b) Suppose the weights of this single shipment of watermelons have a standard deviation of 0.65 lbs. Conduct a new hypothesis test to determine if the grocery store needs to find a new source of watermelons. Compute the p-value and compare it to a 5% significance level.

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