Let x  a person’s “ideal age” in years. Independent and random samples were obtained from U.S. adults in each of six different age groups.

18–24 25–29 30–39 40–49 50–64 65

21 28 30 38 45 54 24 29 35 40 51 48 28 31 37 45 39 59 30 25 32 39 45 60 32 27 39 35 42 65 28 35 37 60 32 40

a. Construct a side-by-side boxplot showing the

“ideal age” for each of the six age groups. What does this graph suggest?

b. Using a one-way ANOVA, test the claim that the “ideal age” is not the same for all age groups. Use a level of significance of 0.05.

c. What conclusions might you draw from the results of the hypothesis test?

d. Explain how the boxplots drawn in part a demonstrate the results found in part b.