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Suppose that you give the SAT to a random sample of 1000 people from a large...

Suppose that you give the SAT to a random sample of 1000 people from a large population in which the scores have mean 1400 and it is known that the population standard deviation is 200. It is known that the distribution is approximately normal.

(a) Construct a 95% confidence interval for the unknown mean of the SAT test.

(b) Construct a 90% confidence interval for the unknown mean of the SAT test.

(c) Construct a 92% confidence interval for the unknown mean of the SAT test.

(d) Construct a 96% confidence interval for the unknown mean of the SAT test.

(e) Construct a 99% confidence interval for the unknown mean of the SAT test.

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c)

d)

e)

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