Question

Consider a normal population with an unknown population standard deviation. A random sample results n x 52.15 and s2 -21.16. Use Table 2 a. Compute the 95% confidence interval for μ if x and s2 were obtained from a sample of 19 observations. (Round intermediate calculations to 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 if x and s2 were obtained from a sample of 27 observations. (Round intermediate calculations to 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. O The bigger sample size will lead to a larger interval width and therefore a more precise interval. O The bigger sample size will lead to a smaller interval width and therefore a more precise

Answer 1

a)

b)

c)

The bigger sample size will lead to a larger interval and therfore a more precise interval