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 42 business days, the mean closing price of a certain stock was $110.73. Assume the population standard deviation is $10.96, 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 90% confidence interval The 95% confidence interval Interpret the results

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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 42 business days, the mean closing price of a certain stock was $110.73. Assume the population standard deviation is $10.96.
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 90% confidence interval
The 95% confidence interval
Interpret the results.
O A. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 38 of the 42 days, and was within the 95% confidence interval for approximately 40 of the 42 days.
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%
dent for the 95% interval.
OC. 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 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.
Click to select your answer(s).
2)
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 42 business days, the mean closing price of a certain stock was $110.73. Assume the population standard deviation is $10.96. 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 90% confidence interval The 95% confidence interval Interpret the results. O A. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 38 of the 42 days, and was within the 95% confidence interval for approximately 40 of the 42 days. 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% dent for the 95% interval. OC. 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 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. Click to select your answer(s). 2)
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