A nutrition expert claims that the amount of running a person does relates to that person’s blood cholesterol level. Six runners from each of three running categories were randomly chosen to have...

A nutrition expert claims that the amount of running a person does relates to that person’s blood cholesterol level. Six runners from each of three running categories were randomly chosen to have their blood cholesterol levels checked. The sample means and sample variances were as follows:

Do these data prove the nutritionist’s claim? Use the 5 percent level of significance.