question archive A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories in their food are reduced by approximately 40% from the time they are weaned
A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories in their food are reduced by approximately 40% from the time they are weaned
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A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories in their food are reduced by approximately 40% from the time they are weaned. The restricted diets are enriched to normal levels by vitamins and protein. Assuming that it is known from previous studies that a = 5.8 months, how many mice should be included in our sample if we wish to be 99% confident that the mean life span of the sample will be within 2 months of the population mean for all mice subjected to this reduced diet?
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Answer:
standard deviation,s = 5.8
error,E = 2
alpha,a = 1-0.99 = 0.01
.
Za/2 = Z0.005 = 2.575
sample size,n >= [Za/2 *(s/E)]^2
n >= [2.575 * (5.8/2)] ^2
n >= 55.76
n = 56
