Use the standard normal distribution or the? t-distribution to construct a? 95%

Question

Use the standard normal distribution or the? t-distribution to construct a? 95% confidence interval for the population mean. Justify your decision. If neither distribution can be? used, explain why. Interpret the results. In a random sample of 19 patients at a? hospital's minor emergency? department, the mean waiting time before seeing a medical professional was 18 minutes and the standard deviation was 12 minutes. Assume the waiting times are not normally distributed. Which distribution should be used to construct the confidence? interval? A. Use a? t-distribution because nless than30 and sigma is known. B. Use a normal distribution because nless than30 and sigma is unknown. C. Use a normal distribution because nless than30 and sigma is known. D. Use a? t-distribution because nless than30 and sigma is unknown. E. Cannot use the standard normal distribution or the? t-distribution because sigma is? unknown, n less than 30?, and the times are not normally distributed. Select the correct choice below? and, if? necessary, fill in any answer boxes to complete your choice. A. The? 95% confidence interval is ?( nothing?, nothing?). ?(Round to one decimal place as? needed.) B. Neither distribution can be used to construct the confidence interval. Interpret the results. Choose the correct answer below. A. With? 95% confidence, it can be said that the population mean waiting time is between the bounds of the confidence interval. B. If a large sample of patients are taken approximately? 95% of them will have waiting times between the bounds of the confidence interval. C. It can be said that? 95% of patients have a waiting time between the bounds of the confidence interval. D. Neither distribution can be used to construct the confidence interval.

Explanation / Answer

1)E. Cannot use the standard normal distribution or the? t-distribution because sigma is? unknown, n less than 30?, and the times are not normally distributed

2)B. Neither distribution can be used to construct the confidence interval.

3)  D. Neither distribution can be used to construct the confidence interval.

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