The annual forecast of Florida’s grapefruit crop is based on an actual count of the grapefruits on a random sample of trees. Suppose five grapefruit trees are selected at random and the fruit on each tree is counted. Results of the count are given below:

a. Build a 95% confidence interval estimate of the aver-age number of grapefruits per tree for the statewide population of grapefruit trees represented here. 

b. If there are 75000 grapefruit trees in Florida, give the 95% confidence interval estimate of the total number of grapefruits statewide.

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Tree Grapefruits 80 60 100 40120