Final answer:
About five seniors are expected to have participated in after-school sports all four years, and having none would be a significant deviation. Determining whether four or five is more likely would require further statistical analysis, but five is the expected number based on the given percentage.
Step-by-step explanation:
To determine how many seniors are expected to have participated in after-school sports all four years of high school, we use a basic probability calculation. Given that 8 percent of students participate in sports throughout high school and there is a sample of 60 seniors, we would expect 0.08 x 60 = 4.8, which we round to approximately 5 seniors.
Would it be surprising if none of the seniors participated in after-school sports all four years? Mathematically, if we expect about 5 out of 60, then having none would be quite remarkable and unlikely, albeit not impossible. Thus, if none participated, it would be a significant deviation from what we expect numerically.
To decide whether four or five seniors are more likely to have participated in sports all four years, one would typically perform a more detailed statistical analysis. However, since we expect about 5, both four and five are plausible outcomes. If we were to choose strictly based on expectation, five would be slightly more likely since it is the exact expected value.