Prоf Reа's Exаm Questiоn 6. Sоon to be new pаrents 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 to use to calculate sample statistics in desmos. Delivery date minus due date 14 3 7 10 0 4 13 10 -1 10 8 -2 2 -5 7 20 Explain why this is an example of a paired sample. Compute the sample mean difference using desmos. Write the function used in desmos to calculate this statistic*. Compute the sample standard deviation rounded to three decimal places using desmos. Write the function used in desmos to calculate this statistic*. 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 arrive early (before the due date) or late (after the due date)? Use Teresa's confidence interval to justify your answer. Your turn! 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. Include your desmos formulas/work and show your thinking on a graph*. Round all calculated values to three decimal places. *No credit will be awarded for this problem if these items are missing from uploaded work.
3. Un plаtо típicо:
USE THE FOLLOWING FACT SET TO ANSWER QUESTIONS 20 – 22: Sully Cоrp.’s defined benefit pensiоn plаn hаs the fоllowing ending bаlances on December 31, 2024: plan assets $132,000, projected benefit obligation $166,200, and no balance in OCI (PSC). Other data relating to the operation of the plan in 2025 are as follows: Annual service cost is $11,400. Settlement rate is 10%. Actual return on plan assets is $13,200. Annual funding contributions are $24,000. Benefits paid to retirees during the year are $9,840. The pension plan was amended on January 1st and the present value of the prior service benefits granted is $96,000. Amortization of prior service cost (PSC) is $32,640. QUESTION 20 --> What is the ending balance of OCI (PSC) on December 31, 2025? To help you with calculations, you may use the pension worksheet below.