2. A nutritional expert randomly assigns 18 bicyclers to three groups. Group B is given a vitamin supplement, and Group C is given a diet of health foods. Group A is instructed to eat as they normally do.l After a set time period on the prescribed diets, the expert subsequently records the number of minutes it takes each person to ride six miles. The data are provided in the following table:

Group A	Group B	Group C
19	16	12
18	12	15
16	14	12
18	15	14
14	14	10
17	13	13

State the appropriate null and alternative hypothesis and conduct a one-way analysis of variance of this study. If H₀ is rejected, estimate the population mean for each group using a 95% confidence interval. Draw a graph representing all three confidence intervals together as in the video lecture for ANOVA.