1) You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 27 games and...

1) You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 27 games and see that the average yards per game is 237.4 with a standard deviation of 25.95 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate?

a. 8.518

b. 10.2655

c. 10.247

d. 1.4056

e. 4.9941

2) The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 88 students, 56 indicated that they preferred outdoor exercise over exercising in a gym. The 90% confidence interval estimating the proportion of all students at the university who prefer outdoor exercise is given by which of the following?