Afactory cans fresh pineapple in sugar syrup. the manager in charge is interested in estimating the average amount of sugar per can to within 2 mg of the true mean. from previous experiments, he knows that the (true) standard deviation of the sugar content is 15 mg. each test of measuring the amount of sugar in a can costs $5.00. one thousand dollars have been budgeted for this experiment. does the manager have enough funds to estimate the average amount of sugar per can with 95% confidence

No. He would need $1,080 to perform a test with this error.

Step-by-step explanation:

To answer this question, we have to calculate the sample size. This is the sample size that allow to estimate the average amount of sugar per can with 95% confidence (95% CI).

The difference between the upper and lower limit of the CI have to be equal or less to e=2 mg. The z value for a 95% CI is z=1.96.

The minimum sample size needed for this error is 216. At a cost of $5/test, this sample size would cost .

This is over the budget for this experiment ($1000).

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