please answer all. will upvote once all done. if explanation possible please I would greatly appreciate it! you are the best thank u in advance!

Please answer all since they are from the same question. will upvote once done. if explanation possible i would greatly appreciate it. you are the best! thank you in advance!

The Price-to-Earnings ratio (P/E) of a publicly listed profit-making company is defined as the ratio of the stock price of the company to the earnings per share. It is a commonly used measure of whether the stock is underpriced, overpriced, or priced in a reasonable range. You may assume that the distribution of P/E ratios of publicly listed companies is normal. A sample of 33 publicly listed profit-making companies was examined, and the sample mean was found to be 11.17 with a standard deviation of 2.13. Use this information to answer questions 8 to 12 below. 8. A 90% confidence interval for the population average P/E ratio of publicly listed profit-making companies is given by which of the following? (a) (6,831, 155091 (b) (7.562, 14.778] () (10.415, 11.925) (d) (10.542, 11.798) 3 9. Suppose 20 such confidence intervals are constructed, each at the 90% confidence level and each constructed from an independent random sample of 33 companies. How many of the confidence intervals are expected to include the true value of the population average P/E ratio? (a) 17 (b) 18 (c) 19 (d) 20 10. Using the same sample whose sample mean was 11.17 and sample standard deviation was 2.13, a confidence interval for a different level of confidence was constructed, and found to be [10.155, 12.185). To what level of confidence does this interval correspond? (a) 95% (b) 98% (c) 99% (d) 100% 11. Which of the following ways of constructing a confidence interval will result in the smallest margin of error? Assume that the sample mean and sample standard deviation remain 11.17 and 2.13, respectively. (a) using a 95% confidence level and a sample of 45 observations (b) using a 90% confidence level and a sample of 45 observations (C) using a 99% confidence level and a sample of 90 observations (d) using a 99% confidence level and a sample of 100 observations 12. You re-check your sample and calculations, and find that while the sample size is 33 and sample mean is 11.17, the actual sample standard deviation is lower than the value of 2.13 used by you. If you re-compute the 90% confidence interval, how do you expect this new confidence interval to compare with the confidence interval computed in Question 8? (a) The new confidence interval is smaller (b) The new confidence interval has the same width C) The new confidence interval is larger (d) It is impossible to say without more information The Price-to-Earnings ratio (P/E) of a publicly listed profit-making company is defined as the ratio of the stock price of the company to the earnings per share. It is a commonly used measure of whether the stock is underpriced, overpriced, or priced in a reasonable range. You may assume that the distribution of P/E ratios of publicly listed companies is normal. A sample of 33 publicly listed profit-making companies was examined, and the sample mean was found to be 11.17 with a standard deviation of 2.13. Use this information to answer questions 8 to 12 below. 8. A 90% confidence interval for the population average P/E ratio of publicly listed profit-making companies is given by which of the following? (a) [6.831, 15.509) (b) (7.562, 14.778) () (10.415, 11.925) (a) (10.542, 11.798] 3 9. Suppose 20 such confidence intervals are constructed, each at the 90% confidence level and each constructed from an independent random sample of 33 companies. How many of the confidence intervals are expected to include the true value of the population average P/E ratio? (a) 17 (b) 18 (C) 19 (a) 20 10. Using the same sample whose sample mean was 11.17 and sample standard deviation was 2.13, a confidence interval for a different level of confidence was constructed, and found to be [10.155, 12.185). To what level of confidence does this interval correspond? (a) 95% (b) 98% (c) 99% (d) 100% 11. Which of the following ways of constructing a confidence interval will result in the smallest margin of error? Assume that the sample mean and sample standard deviation remain 11.17 and 2.13, respectively. (a) using a 95% confidence level and a sample of 45 observations (b) using a 90% confidence level and a sample of 45 observations (c) using a 99% confidence level and a sample of 90 observations (d) using a 99% confidence level and a sample of 100 observations 12. You re-check your sample and calculations, and find that while the sample size is 33 and sample mean is 11.17, the actual sample standard deviation is lower than the value of 2.13 used by you. If you re-compute the 90% confidence interval, how do you expect this new confidence interval to compare with the confidence interval computed in Question 8? (a) The new confidence interval is smaller (b) The new confidence interval has the same width (c) The new confidence interval is larger (d) It is impossible to say without more information