Question: A random sample of 20 observations selected from a normal population produced x = 72.6 and s2 = 19.4. a. Form a 90% confidence interval

A random sample of 20 observations selected from a normal population produced x = 72.6 and s2 = 19.4.

a. Form a 90% confidence interval for m.

b. Test H0:µ= 80 against Ha: µ< 80. Use α = .05.

c. Test H0:µ= 80 against Ha: µ≠ 80. Use α = .01.

d. Form a 99% confidence interval for m.

e. How large a sample would be required to estimate µ to within 1 unit with 95% confidence?

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