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.

The null hypothesis that market size does not affect wins can be expressed formally as

Group of answer choices

a.  

b.  

c.  

d.  

3. None of these options

Answer 1

Let $\mu_1$ denote the population mean for Giants and $\mu_2$ denotes the population mean for Packers . we are hypothesize that market size implies athletic success.

Then to test market size does not affect wins the nullhypothesis is

$H_0:\mu_1-\mu_2=0 ~v/s~H_1:\mu_1-\mu_2>0$