11. A population of peer ratings of physical attractiveness is approximately normal with 5 2 and...

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11. A population of peer ratings of physical attractiveness is approximately normal with

μ 5 2 and σ 1 6. A random sample of four ratings is selected from this population.

(a) Calculate σX .

What is the probability of obtaining a sample mean:

(b) above 6.6?

(c) as extreme as 3.8?

(d) below 4.4?

(e) between the population mean and .5 points below the mean?

(f) no more than .5 points away from the population mean (in either direction)?

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