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 protein. Suppose that a random sample of 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 an 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 distributions of life spans for the regular and restricted diets are approximately normal with equal variances.

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Hypothesis Testing
3. 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 protein. Suppose that
a random sample of 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 an 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 distributions of life spans for the regular and restricted diets are approximately normal with
equal variances.
Transcribed Image Text:3. 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 protein. Suppose that a random sample of 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 an 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 distributions of life spans for the regular and restricted diets are approximately normal with equal variances.
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