You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 44 business days, the mean closing price of a certain stock was $110.50. Assume the population standard deviation is $10.76. The 90% confidence interval is (.). (Round to two decimal places as needed.) The 95% confidence interval is (.). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 95% confidence interval O The 90% confidence interval Interpret the results. OA. You can be 90% confident that the population mean price of the stock between the bounds of the 90% confidence interval, and 95% confident for the 95% interval. O B. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 40 of the 44 days, and was within the 95% confidence interval for approximately 42 of the 44 days. O C. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O D. You can be 90% confident that the population mean price of the stock outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval.
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 44 business days, the mean closing price of a certain stock was $110.50. Assume the population standard deviation is $10.76. The 90% confidence interval is (.). (Round to two decimal places as needed.) The 95% confidence interval is (.). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 95% confidence interval O The 90% confidence interval Interpret the results. OA. You can be 90% confident that the population mean price of the stock between the bounds of the 90% confidence interval, and 95% confident for the 95% interval. O B. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 40 of the 44 days, and was within the 95% confidence interval for approximately 42 of the 44 days. O C. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O D. You can be 90% confident that the population mean price of the stock outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of 44 business days, the mean closing price of a certain stock was $110.50. Assume the population standard deviation is $10.76.
C
The 90% confidence interval is ().
(Round to two decimal places as needed.)
The 95% confidence interval is (.).
(Round to two decimal places as needed.)
Which interval is wider? Choose the correct answer below.
The 95% confidence interval
O The 90% confidence interval
Interpret the results.
O A. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidence interval, and 95% confident for the 95% interval.
O B. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 40 of the 44 days, and was within the 95% confidence interval for approximately 42 of the 44 days.
O C. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals.
O D. You can be 90% confident that the population mean price of the stock is outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval.
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