Question

A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the national league won the series. From 1922 to 2012 the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11 of 19 randomly selected World Series of games won by the American League, the mean number of games won was 5.76. the mean number of 17 randomly selected games won by the national League was 5.42.

a) State and label the two population or samples.

b) What is function that you used on the calculator(TI-84) and what are the inputs?

c) Use the Five Method to do the Hypothesis Test.

Answer 1

a)

Sample 1: The number of games played in a World Series when the American League won the series

Sample 2: The number of games played in a World Series when the national League won the series

b)

Then we need to run STAT->TESTS-> 2-SampZTest

The two sided null hypothesis should be selected.

Here we have

Following is screen shot :

Following is the output of t test:

c)

Hypotheses are:

The test statistics is

z = 0.91

The p-value is:

p-value = 0.3650

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

That is there is no evidence to conclude that  there is a difference between the number of games played in a World Series when the American League won the series versus when the national league won the series.