Draw a picture of the sampling distribution

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The mean and standard deviation for the heights of adult men are about 70 inches and 3 inches, respectively; for adult women, they are about 65 inches and 2.5 inches, respectively. Heights within each sex are bell-shaped. Suppose random samples of nine men's and nine women's heights are measured and the difference in the sample means is found (men - women).

a. What is the mean of the sampling distribution of x^‾₁ - x^‾₂ in this situation?

b. What is the standard deviation of the sampling distri bution?

c. Draw a picture of the sampling distribution of x^‾₁ - x^‾₂, similar to given Figure.

d. Is it possible that the mean height for the sample of women will be greater than the mean height for the sample of men? Explain.

1554_Fig 5.jpg

Reference no: EM131416965

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