Question 6. [4 Marks] A UCLA researcher claims that the life span of mice can be

Question

Question 6. [4 Marks] A UCLA researcher claims that the life span of mice can be extended by as much as 25 when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diet is enriched to normal levels by protein and vitamins. Assuming that it is known from previous studies that -5.4 months, how many mice should be included in our sample if the width of a 97% interval for the population mean for all mice subjected to this reduced diet is at most 2 months?

Explanation / Answer

width = 2

Z for 97% confidence interval = Z0.015 = 2.17

margin of error = 1

margin of error = Z0.015 * sigma / sqrt(n)

or, 1 = 2.17 * 5.4 / sqrt(n)

or, n = 133.54

or, n = 134

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