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 49 business days, the mean closing price of a certain stock was $111.76. Assume the population standard deviation is $10.55. ... The 90% confidence interval is (1.23, 1.34). (Round to two decimal places as needed.) The 95% confidence interval is (2.343.45 (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 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 R Ve

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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 49 business days, the mean closing price of a certain stock was $111.76. Assume the population standard deviation is $10.55.
... ..
The 90% confidence interval is (1.23, 1.34).
(Round to two decimal places as needed.)
The 95% confidence interval is (2.34 ,3.45).
(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 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.
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 certain that the closing price of the stock was within the 90% confidence interval for approximately 44 of the 49 days, and was within the 95%
confidence interval for approximately 47 of the 49 days.
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.
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 49 business days, the mean closing price of a certain stock was $111.76. Assume the population standard deviation is $10.55. ... .. The 90% confidence interval is (1.23, 1.34). (Round to two decimal places as needed.) The 95% confidence interval is (2.34 ,3.45). (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 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. 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 certain that the closing price of the stock was within the 90% confidence interval for approximately 44 of the 49 days, and was within the 95% confidence interval for approximately 47 of the 49 days. 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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