Exercise 4. A different analysis of the sleep
problem
In a class survey, students are asked how many hours they sleep per
night. In the random sample of 18 students, the (sample) mean is
6.8 hours with a (sample) standard deviation of 1.9 hours. We wish
to know if this shows that the class’s student population on
average has gotten a different amount of sleep
from the recommended 8 hours of sleep at the α =
.01 level. The distribution of sleep for this
population follows a normal distribution.
g) Separately, find the 98% confidence interval of average sleep for this class. Provide the upper bound with the answer rounded to 2 decimal places.
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