In a stratified random sample of students on a small campus, sample members were asked to rate, on a scale from 1 (poor) to 5 (excellent), opportunities for extracurricular activities. The results are shown in the accompanying table.

a. Find a 95% confidence interval for the mean rating that would be given by all freshmen and sophomores on this campus.
b. Find a 95% confidence interval for the mean rating that would be given by all juniors and seniors on this campus.
c. Find a 95% confidence interval for the mean rating that would be given by all undergraduate students on this campus.

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Freshmen and Sophomores 632 50 3.12 1.04 Juniors and Seniors 529 Ni ni X, Si 50 3.37 0.86