Question
A teachers’ union representative claims that there is a difference in the salaries earned by teachers...
A teachers’ union representative claims that there is a difference in the salaries earned by teachers in Ohio and Pennsylvania. A random sample of 12 Ohio and 12 Pennsylvania teachers and their salaries is shown in the table below. The salaries are reported in thousands of dollars.
Ohio Pennsylvania
42 47
45 66
50 44
47 52
44 49
51 54
42 69
51 65
45 56
37 51
59 44
36 34
a. Assuming normal distributions, is there enough evidence to support the representative’s claim at the 5% significance level?
b. What type of error could you be making with your conclusion in part a?
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