+ .edu/courses/43878/quizzes/328137/take Prof Rea's Exam Question 7. Soon to be new parents want to estimate the mean difference between a mother's due date and her delivery date. They are wondering if their baby will be born much earlier or later than they expect and want to be prepared. They survey a random sample of 16 mothers for their due date and their delivery date and compute the difference (delivery date minus due date) in days. Those differences are listed in the table below. Assume the distribution of differences is normal. (Note, you do NOT have to compute differences). You may also download the google sheets file here E to use to calculate sample statistics in desmos. Delivery date minus due date 14 3 7 10 0 4 13 10 10 8 -2 2 - 5 7 20 A. Explain why this is an example of a paired sample. B. Compute the sample mean difference using desmos. Write the function used in desmos to calculate this statistic. Il app.honorlock.com is sharing your screen. Stop sharing Hide Exam Details & Mini C G Search or type URL + S &7 20 A. Explain why this is an example of a paired sample. B. Compute the sample mean difference using desmos. Write the function used in desmos to calculate this statistic. C. Compute the sample standard deviation rounded to three decimal places using desmos. Write the function used in desmos to calculate this statistic. D. Construct a 90% confidence interval for the mean difference in due date and delivery date. Assume the population of differences between due date and delivery date is normally distributed. Include all steps of constructing a confidence interval to earn full credit. Round all calculated values to three decimal places. E. Teresa (the expecting mother) finds the 99% confidence interval to be (1.359, 11.141). Can the new parents conclude there is a difference? If so, do they expect their baby to