There is a major rivalry between Ohio State and Michigan. Alumni from both schoo

Question

There is a major rivalry between Ohio State and Michigan. Alumni from both schools are claiming there is a difference between the batting averages of their baseball players.

A sample of 60 Ohio State player's averages was .400 with a standard deviation of .05

A sample of 50 Michigan player's averages was .390 with a standard deviation of .04

Conduct the following test of hypothesis using the .05 significance level.

Using the p-value; using a calculated z-value of 1.80 can you prove the claim that there is a difference between batting averages between the Ohio State and Michigan baseball players?

Explanation / Answer

We need to understand that the null hypothesis ( or the hypothesis we intend to reject) would be :

Ho : mean1 = mean2

Ha : Mean1 and Mean2 are different

Since, there is an equality sign in the null hypothesis, we do a two-tailed test to check the hypothesis.

Since, the z-value is already calculated = 1.80

p-value for the above z-value = 0.07186 which is > 0.05

So,

the null hypothesis can't be rejected statistically

Hope this helps.

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