question archive A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months when the calories in their diet are reduced by approximately 40% from the time they are weaned

A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months when the calories in their diet are reduced by approximately 40% from the time they are weaned

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A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months when the calories in their diet are reduced by approximately 40% from the time they are weaned.  The restricted diets are enriched to normal levels by vitamins and proteins. Suppose that a random sample of size 10 mice is fed a normal diet and has an average life span of 32.1 months, with a standard deviation of 3.2 months, while a random sample of 15 mice is fed the restricted diet and has average life span of 37.6 months with a standard deviation of 2.8 months. Test the hypothesis at the 0.05 level of significance, that the average life span of mice on this restricted diet is increased by 8 months against the alternative that the increase is less than 8 months. Assume the distribution of life spans for the regular and restricted diets are approximately normal.      

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