Question: 3. For a particular study comparing means of two samples, the first sample has 21 participants and an estimated population variance of 100; the second

3. For a particular study comparing means of two samples, the first sample has 21 participants and an estimated population variance of 100; the second sample has 31 participants and an estimated population variance of 200.

(a) What is the standard deviation of the distribution of differences between means?

(b) What is its mean?

(c) What will be its shape?

(d) Illustrate your answer with sketches of the distributions involved

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