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 ​$119.24. Assume the population standard deviation is ​$9.79. The​ 90% confidence interval is ​(nothing​,nothing​).​(Round to two decimal places as​ needed.) The​ 95% confidence interval is ​(nothing​,nothing​).​(Round to two decimal places as​ needed.) Which interval is​ wider? Choose the correct answer below. The​ 90% confidence interval The​ 95% confidence interval Interpret the results. 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. B. 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. 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. D. 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.

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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 44 business​ days, the mean closing price of a certain stock was ​$119.24. Assume the population standard deviation is ​$9.79. The​ 90% confidence interval is ​(nothing​,nothing​). ​(Round to two decimal places as​ needed.) The​ 95% confidence interval is ​(nothing​,nothing​). ​(Round to two decimal places as​ needed.) Which interval is​ wider? Choose the correct answer below. The​ 90% confidence interval The​ 95% confidence interval Interpret the results. 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. B. 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. 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. D. 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.
From a random sample of 44 business days, the mean closing price of a certain stock was $119.24. Assume the population standard deviation is $9.79.
(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 90% confidence interval
The 95% 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 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 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 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.
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Transcribed Image Text:From a random sample of 44 business days, the mean closing price of a certain stock was $119.24. Assume the population standard deviation is $9.79. (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 90% confidence interval The 95% 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 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 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 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. (1,0) More Click to select your answer(s). Save for Later MacBook Air & 2 3. 8. E R G
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