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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