A researcher is interested in studying the average number of traffic violations

Question

A researcher is interested in studying the average number of traffic violations received by male vs. female drivers. The researcher has a sample of 30 male drivers and 32 female drivers and conducts a two-sample t-test (two-tailed, alpha = .05). The researcher finds the following:

1. Male drivers have an average of 4 traffic violations every year.

2. Female drivers have an average of 2 traffic violations every year.

3. The standard error of the mean difference between male and female drivers (i.e., the se) is .50.

What is the obtained t-statistic for this test?

Explanation / Answer

here from given data ; average mean difference =Xmale-female =4-2 =2

therefore obtained t-statistic for this test =(Xmale-female -0)/std error =2/0.5 =4

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