1There is a major rivalry between Ohio State and Michigan Al

1.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.

State the Decision Rule. What is the rejection region?

Reject Ho if z < -1.65 or z > 1.65

Reject Ho if z < -1.28

Reject Ho if z < -1.96 or z > 1.96

Reject Ho if z < -2.58 or z > 2.58

2. Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision?

A. Reject the null hypothesis

B. Do not reject the null hypothesis

C. Take a larger sample

D. Reserve judgment

Reject Ho if z < -1.65 or z > 1.65

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. Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision Reject the null hypothesis Do not reject the null hypothesis Take a larger sample Reserve judgment

Solution

1)

Y = 0.97656 * 56 + 28.45268

Y = 83.14004

2)

for alpha = 0.05

alpha/ 2 = 0.025

critical value is +/- 1.96 [ from tables]

so as we can see Z is > -1.96 so

B. Do not reject the null hypothesis