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In: Statistics and Probability

A researcher wants to determine whether there is a difference in the average age of elementary...

A researcher wants to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Can you reject the claim that there is no difference in the average age of each group? Use 5% level of significance.

Elementary Teachers High School Teachers CC Teachers
24 37 45
28 42 36
25 39 39
52 48 61
36 43 35
22 32 45

a) State the hypothesis

b) Find the standardized test statistic, include which calculator function was used.

c) Draw the distribution, shading the tail, and labeling the value(s).

d) Make your decision and state why.

e) Write the interpretation, and answer the question.

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