question archive Consider two populations for which μ1 = 39, σ1 = 3, μ2 = 26, and σ2 = 2

Consider two populations for which μ1 = 39, σ1 = 3, μ2 = 26, and σ2 = 2

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Consider two populations for which μ1 = 39, σ1 = 3, μ2 = 26, and σ2 = 2. Suppose that two independent random samples of sizes n1 = 41 and n2 = 54 are selected. Describe the approximate sampling distribution of x1 − x2 (center, spread, and shape).

a. What is the shape of the distribution?

The distribution would be non-normal.

The distribution is approximately normal.    

The shape cannot be determined.

b. What is the mean of the distribution?
c. What is the standard deviation of the distribution?

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