A student group claims that first year students at a university
must study 2.5 hours per night during the
school week. A skeptic suspect that they study less than that on
average. A class survey finds that the
average study time claimed by 269 students is 137 minutes. Regard
these students as a random sample
of all first-year students and suppose we know that study times
follow a Normal distribution with
standard deviation of 65 minutes. Is there evidence that the mean
study time differs from 2.5 hours? Use α=0.05
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