A researcher wants to determine the effect of smoking on resting heart rate. She randomly selects 7 individuals from 3 categories: Nonsmokers, light smokers (fewer than 10 cigarettes per day), and heavy smokers (10 or more cigarettes per day). The heart rates of the people in her sample are shown below.Nonsmokers Light Smokers Heavy Smokers56 78 7753 62 8653 70 6865 73 8370 67 7958 75 8051 65 77a. The smallest standard deviation is and the largest standard deviation is .b. Is the largest standard deviation more than 2 times the smallest standard deviation?A. No.B. Yes, so ANOVA is not appropriate.Normal probability plots of each sample show that the individual observations in each population are approximately normally distributed.c. Find the p-value for an ANOVA test of this data set.d. State your conclusion in the context of the problem. Use α=.05.α=.05.A. There is enough evidence to claim that nonsmokers have a different mean heart rate than light or heavy smokers.B. There is not enough evidence to claim that at least one of the 3 populations has a different mean heart rate than the others.C. There is enough evidence to claim that all 3 populations have different mean heart rates.D. There is enough evidence to claim that at least one of the 3 populations has a different mean heart rate than the others.
