Final answer:
Approximately 5 seniors from a group of 60 are expected to have participated in varsity sports all four years of high school. Numerically, it would be surprising if none had participated. It is slightly more likely, based on numerical values, that four rather than five seniors participated.
Step-by-step explanation:
The question concerns how many seniors at a local high school have participated in varsity sports all four years. Based on the information provided, approximately 8 percent of students are engaged in after-school sports throughout their high school career. When a group of 60 seniors is randomly chosen, the number of students who would be expected to have participated in such activities can be calculated by applying the percentage to the total group size. Therefore, 8 percent of 60 seniors equals 0.08 times 60, which is 4.8. Rounding to the nearest whole number, approximately 5 seniors are expected to have participated in after-school varsity sports all four years of high school.
Addressing part e, if the expected number is 4.8 (rounded to 5), it would be surprising if none of the seniors participated in after-school sports all four years based on numerical values, as this would be significantly lower than the expected number. Finally, addressing part f, it is more likely that four seniors participated rather than five, given that the expected value 4.8 is closer to four than to five and you would typically round down.