A random sample of 20 observations selected from a normal population produced x = 82.6 and s2

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A random sample of 20 observations selected from a normal population produced x = 82.6 and s2

= 29.4.

a. Form a 95% confidence interval for m.

b. Test H0: m = 90 against Ha: m 6 90. Use a = .05.

c. Test H0: m = 90 against Ha: m  90. Use a = .01.

d. Form a 90% confidence interval for m.

e. How large a sample would be required to estimate m to within 1 unit with 99% confidence?

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