Question

The New York Giants have the biggest market (metro population of 18.3 million in 2000) in the league and the Green Bay Packers have the smallest market (population of 0.3 million). You hypothesize that market size implies athletic success. Assume that the wins for all NFL teams over 1989-2008 are independent and normally distributed with the same standard deviation σ w. For this sample, the mean wins for the Giants is 8.75, for the Packers its 9.35 wins. The observed standard deviation for the Giants is 2.63, for the Packers its 2.76. The observed leaguewide standard deviation is 3.02.

For this situation, the two-sample z test assumes that the wins distributions can be written formally as

Group of answer choices

a.  B(n=16,pi),i=giants,packers

b.  N(μi,σw2),i=giants,packers

c.  B(n=16,pgiants−ppackers)

d. None of these options

e.  

Answer 1

Given that the wins for all nfl teams are normally distributed with standard deviation

Then We can say

New York Giants follows Normal distribution with mean   and Standard deviation

Green Bay Packers follows Normal distribution with mean and Standard deviation of

So the correct option is

b. , i = giants, packers