Question

Consider a normal population with an unknown population standard deviation. A random sample results in x−x− = 49.64 and s² = 38.44.

a. Compute the 95% confidence interval for μ if x−x− and s² were obtained from a sample of 22 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

b. Compute the 95% confidence interval for μ if x−x− and s² were obtained from a sample of 26 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

Answer 1

The statistical software output for this problem is:

Hence,

a) 95% confidence interval for n = 22:

(46.89, 52.39)

b) 95% confidence interval for n = 26:

(47.14, 52.14)