Consider a population with a known standard deviation of 18.6. In order to compute an interval for the population mean, a sample of 58 observations is drawn. Solve for a. b. c. d.

Consider a population with a known standard deviation of 18.6. In order to compute an interval estimate for the population mean, a sample of 58 observations is drawn. [You may find it useful to reference the z table.] a. Is the condition that X is normally distributed satisfied? Yes O No b. Compute the margin of error at a 99% confidence level. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.) Margin of error c. Compute the margin of error at a 99% confidence level based on a larger sample of 245 observations. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.) Margin of error d. Which of the two margins of error will lead to a wider confidence interval? . 99% confidence with n = 58. 0 99% confidence with n = 245