Question

step 2 of 2: make the decision to reject or fail to reject the null hypothesis that equal average maximum heart rates are achieved by the four workouts and state the conclusion in terms of the original problem. use $alpha = 0.10$. answer we reject the null hypothesis. there is not sufficient evidence, at the 0.10 level of significance, of a difference among the average maximum heart rates for the four workouts. we fail to reject the null hypothesis. there is not sufficient evidence, at the 0.10 level of significance, of a difference among the average maximum heart rates for the four workouts. we reject the null hypothesis. there is sufficient evidence, at the 0.10 level of significance, of a difference among the average maximum heart rates for the four workouts. we fail to reject the null hypothesis. there is sufficient evidence, at the 0.10 level of significance, of a difference among the average maximum heart rates for the four workouts.

Explanation:

Step1: Recall hypothesis - testing decision rule

In hypothesis - testing, if the p - value is less than the significance level $\alpha$, we reject the null hypothesis. If the p - value is greater than $\alpha$, we fail to reject the null hypothesis. Here, $\alpha=0.10$. Without performing the full ANOVA (Analysis of Variance) calculations (finding the F - statistic and its corresponding p - value), we assume that if there is sufficient evidence, we reject the null hypothesis, and if there is not sufficient evidence, we fail to reject it.

Step2: Analyze the options

The null hypothesis is that equal average maximum heart rates are achieved by the four workouts. If there is sufficient evidence at the 0.10 level of significance of a difference among the average maximum heart rates for the four workouts, we reject the null hypothesis. If not, we fail to reject it.

Answer:

We reject the null hypothesis. There is sufficient evidence, at the 0.10 level of significance, of a difference among the average maximum heart rates for the four workouts.