Question 1) In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using the t-distribution was calculated be (28.7,44.3). After researching commute times to work, it was found that the population standard deviation is 8.9 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. The margin of error of u is (Round to two decimal places as needed.) A 98% confidence interval using the standard normal distribution is (].) (Round to one decimal place as needed.) Compare the results. Choose the correct answer below. O A. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student's t-distribution. O B. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits. O C. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student's t-distribution. O D. The confidence interval found using the standard normal distribution is the same as the confidence interval found using the student's t-distribution. Question 2) Let p be the population proportion for the following condition. Find the point estimates for p and q. Of 911 children surveyed, 105 plan to join the armed forces in the future. . . . The point estimate for p, p, is. (Round to three decimal places as needed.) The point estimate for q, q, is. (Round to three decimal places as needed.)