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 43 business days, the mean closing price of a certain stock was $112.86. Assume the population standard deviation is $11.44. The 90% confidence interval is ( D (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 The 90% confidence interval Interpret the results. O A. 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 B. 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 C. 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. O D. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 39 of the 43 days, and was within the 95% confidence interval for approximately 41 of the 43 days.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 43 business days, the mean closing price of a certain stock was $112.86. Assume the population standard deviation is $11.44.
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
The 90% confidence interval
Interpret the results.
A. 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 B. 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 C. 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.
O D. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 39 of the 43 days, and was within the 95% confidence interval for approximately 41 of the 43 days.
O Time Remaining: 01:27:22
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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 43 business days, the mean closing price of a certain stock was $112.86. Assume the population standard deviation is $11.44. 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 The 90% confidence interval Interpret the results. A. 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 B. 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 C. 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. O D. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 39 of the 43 days, and was within the 95% confidence interval for approximately 41 of the 43 days. O Time Remaining: 01:27:22 Next Statcrunch MacBook Air DII 112 80 F3 F4 esc @ 2# $ 8 3 4 5 6 1 2 P Y Q W E K F
Expert Solution
Step 1

Givensample size(n)=43mean(x)=112.86standard deviation(σ)=11.44

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