Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. What is the probability that the 49 balls traveled an average of less than 240 feet? Hint: draw the distribution graph after the z score is computed 8.08% O 80.8% 18.08% O 10.80% Question 3 7 pts Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let X the average of the 49 races. What is the probability that those runners will average between 142 and 146 minutes in those 49 races. 0.6247 O 0.2647 O 0,4627 O 0.7246 Question 4 7 pts Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let X the average of the 49 races. Find the median of the running times (hint: sampling distribution of the means follows the normal distribution)The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 16, find the probability that the average percent of fat calories consumed is more than five. (hint: Graph the situation and shade in the area to be determined) 100% 56% 16% O 89% Question 6 7 pts Which of the following is NOT TRUE about the distribution for sample averages? O The curve is skewed to the right. The mean, median, and mode are equal. The area under the curve is one. O The curve never touches the x-axis. Question 7 8 pts 16 gas stations in City of Fresno were randomly selected in a survey to find the average cost of diesel prices. In 2020 and 2021, diesel price in Fresno followed an unknown distribution with a mean of $3.89 and a standard deviation of $0.10. The distribution to use for the average cost of gasoline for the 16 gas stations is