Question 4 [Mandatory) (5 points) In a study researchers reported the mean BMI for men 60 and older to be 24.7 with a standard deviation of 3.3 and the mean BMI for women 60 and older to be 23.1 with a standard deviation of 3.7. Using these values as the populations mean and standard deviation for men and women respectively, find the probability that the difference in the mean BMI (men-women) for 45 women and 50 men selected independently and at random will exceed 2.1, 0.0968 02451 0.0000 0.7549 0.9032 Question 5 (Mandatory) (5 points) National survey released in 2003 showed that among U.S. adults age: 70 and older, 21.1% had been told by a doctor that they had some form of cancer. Use this result as valid for the population of U.S. adults, 70 yrs, old and older. What is the probability that among 40 adults (ages 70 and older) chosen at random more than 22 percent will have been told by their doctor that they have cancer? 0.5000 0.1395 0.2110 04443 0.5557 Question & (Mandatory) (2 points) For the last question, what are the two numbers that must be greater than 5 for the CLT based formula to apply? ) 55.2 14.8 318 30