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the nfl rates each quarterback after every game according to a formula that invo

ID: 3157932 • Letter: T

Question

the nfl rates each quarterback after every game according to a formula that involves pass attempts, passing yards, touchdown passes and interceptions. suppose under the old rules the mean quarterback raing per game is 52.1. there is some speculation that rule changes benefitting receivers have also increased QB ratings. in a random sample of 24 QB 2012 season ratings, the sample mean was 57.09 with a Standard deviation of 9.7. is there any evidence that the QB rating has increased? perform this test at the 5% significance level? asssume the QB ratings are Normally distributed. A. State the null and alternative Hypothesis. B. Compute and identify the test statistic

Explanation / Answer

Ho : miu = 52.1

Ha : miu > 52.1

t = ( 57.09 - 52.1 ) / ( 9.7 / srqt 24 )

t =2.52

for alpha = 0.05 df = 23 critical value : 1.714

since t > critical value we reject Ho