A media researcher wanted to see if there was a difference in the ages of viewers of three late-night TV talk shows. Three random samples of viewers were selected, and the ages of viewers is shown.
| Jimmy Kimmel | Stephen Colbert | Jimmy Fallon |
| :--- | :--- | :--- |
| 53 | 48 | 40 |
| 56 | 51 | 36 |
| 48 | 47 | 35 |
| 52 | 46 | 32 |
| 45 | 48 | 39 |
| 47 | 50 | 29 |
At a 5% level of significance, is there a difference in the mean ages of the viewers of these talk show hosts?
a) (3 points) State the hypotheses and identify the claim.
b) (2 points) Calculate the p-value. Explain how you found your answer (either show the steps or include the calculator function and inputs).
c) (1 point) Make a decision regarding the null hypothesis.
d) (2 points) Summarize your results in the form of a complete sentence, stating your decision in terms of the claim and summarizing the claim
