In: Statistics and Probability
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.