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On a piece of paper do the following and submit a picture or pdf of your work. Assume that in 2018 the mean mathematics SAT

On a piece of paper do the following and submit a picture or pdf of your work.

Assume that in 2018 the mean mathematics SAT score was 524 and the standard deviation was 117.

A sample of 68 scores is chosen.

All probabilities should be written to 4 decimal places.

a)What is the sampling distribution of,,thesample mean?

b)What is the probability thesample meanscore is less than 512? [B]

c)What is the probability thesample meanscore is between 485 and 529? [C]

d)What is the probability thesample meanscore is greater than 480? [D]

e)Would it be unusual for the sample mean to be greater than 575? [E] Why? [F]

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