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Exercise 8-19 Algo Consider a normal population with an unknown population standard deviation. A random sample...

Exercise 8-19 Algo

Consider a normal population with an unknown population standard deviation. A random sample results in x−x− = 43.92 and s2 = 17.64. [You may find it useful to reference the t table.]

a. 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.)

CONFIDENCE INTERVAL ______ TO _______

b. Compute the 95% confidence interval for μ if x−x− and s2 were obtained from a sample of 29 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

CONFIDENCE INTERVAL _______ TO _________




c. Use your answers to discuss the impact of the sample size on the width of the interval.

  • The bigger sample size will lead to a larger interval width and therefore a more precise interval.

  • The bigger sample size will lead to a smaller interval width and therefore a more precise interval.

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