The average score for games played in the NFL is 22.1 and the standard deviation is 9.3 points. 40 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.
a. What is the distribution of x? * ~ N(
b. What is the distribution of
х?)
x-N(
C. P(X < 19.8943) =
d. Find the 68th percentile for the mean score for this sample size.
e. P/22.4943 < * < 22.9353) =
f. Q1 for the x distribution =
g. P()
x > 939.772) =
h. For part c) and e), is the assumption of normal necessary? • No Yes