At the Drole Pineapple Company, managers are always interested in the sizes of the pineapplesgrown in the company’s fields. The weights of pineapples grown in the Drole fieldswere approximately normally distributed with a standard deviation of 2.5 ounces.Last year, the pineapplesh arvestedh ada meanw eighto f 31 ounces.1. Suppose a single pineapple is selected at random from last year’s crop. What i~; theapproximate probability that it weighs more than 35 ounces?2. Now supposeth att wo pineapplesa res electedr andomlya nd independentlyfr om lastyear’s crop. Find the approximate probability that exactly one of the two pineapp:les weighs morethan 35 ounces.3. In order to convince local distributors to sell your pineapples, you decide to sho,w them a few ofyour bigger fruits. If you select pineapples at random from last year’s crop, how many pineapplesmight you have to inspect before you find one that weighs more than 35 ounces?b. Perfoffil your simulation twice, clearly illustrating your procedure and the results. Begin online 127.4. Find the approximate probability that your fIrst suitable pineapple (weighing 35 or more ounces)is obtained within tlte first three pineapples.Managers were eager to test a new irrigation system, and did so during this year’s production cycle.5. How large a sample would you need to take to estimate the mean weight of the pineapplesproduced to within one ounce at a 95% confidence level?An SRS of 50 pineapples taken from this year’s crop had a mean weight of31.6 OllInces.6. Use a 95% confidence interval to determine whether this sample provides evidence ofa change inthe mean weight of pineapples produced. Explain your reasoning.7. Did the new irrigation system cause an increase in the mean weights of pineapples produced?Explain your answer.Chapter
