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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 $114.49. Assume the population standard deviation is $9.79. 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 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 B. 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 C. 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 D. 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.Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: p > 1280; a = 0.08; 6 = 199.03. Sample statistics: x = 1308.73, n =275 O A. Ho: HS 1280 O B. Ho: H> 1308.73 Ha: H > 1280 Ha: HS 1308.73 O C. Ho: H 2 1308.73 O D. Ho: HIS 1308.73 Ha: H 1308.73 O E. Ho: H 2 1280 OF. Ho: H > 1280 Ha : H