1) a group of 17 people are going to an amusement park. adult tickets cost $53.50 each child tickets cost $47.25 each. if the total cost for admission to the park is $859.50 how many adults attended the amusement park? a. 7 b.8 c.9 d.10 2) matthew is graduating from college in two years but he will need a loan in the amount of $21,059 for his last four semesters. he may either receive an unsubsidized stafford loan with interest rate of 6.8% compounded monthly or his parents may obtain a plus loan with the interest rate of 7.8% compounded monthly. the stafford loan has a grace period of six months from the time of graduation which loan will have a higher bounce at the time of repayment and by how much? a. the plus loan has a higher balance by 627.73 b. the plus loan has a higher balance by 484.23 c. the stanford loan has a higher balance by 831.71 d. the stanford loan has a higher balance by 347.47

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?