Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is $982 in the United States. Assume that the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed. nd these probabilities of the monthly payment selected randomly. Enter the nal answers as decimals rounded to at least four places. Round intermediate zvalue calculations to two decimal plaoes. (a) More than $1400 PCX>14DD)=- (b} Between $870 and $1030 P(870 33) = 0.0951 L. (b} Less than 8 minutes commuting one way P(X 43,500) = .0571 Alternate Answer: P(X > 43,500) = 0.0571 Part: 1 / 2 Part 2 of 2 For a sample of 80 teachers, what is the probability that the sample mean is greater than $36,080? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X > 36,080) =Day Care Tuition A random sample of 46 fouryearolds attending day care centers provided a yearly tuition average of $3950 and the population standard deviation of $630. Find the 90% condence interval of the true mean. Round your answers to the nearest whole number. If a day care center were starting up and wanted to keep tuition low, what would be a reasonable amount to charge? Round your answer to the nearest hundred. 5D would be a reasonable amount to charge. Question 4 of B [1 point} l Attempt 1 of Unlimited ?.1 Section Exerci Undergraduate SPAS It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to estimate the GPA within 0.25 at the 90% confidence level? The population standard deviation is 1.2.8. If needed, round your nal answer up to the next whole number. The university needs at least a sample of D students. Question 6 of 6 (1 point) | Attempt 1 of Unlimited | View question in a popup 7.1 Section Exe Overweight Men For a random sample of 65 overweight men, the mean of the number of pounds that they were overweight was 32. The standard deviation of the population is 4.3 pounds. Part 1 of 4 V (a) The best point estimate of the mean is 32 pounds. Part 2 of 4 (b) Find the 90% confidence interval of the mean of these pounds. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. 31.1 H