SOLUTION: The dean of students of a large community college claims that the average distance that commuting students travel to the campus is 32 miles. The commuting students feel other

Question 808111: The dean of students of a large community
college claims that the average distance that
commuting students travel to the campus is 32
miles. The commuting students feel otherwise.
A sample of 64 students was randomly selected
and yielded a mean of 35 miles and a standard
deviation of 5 miles. Find and interpret the 90%
confidence interval for the average distance that
commuting students travel to the campus.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The commuting students feel otherwise.
A sample of 64 students was randomly selected
and yielded a mean of 35 miles and a standard
deviation of 5 miles. Find and interpret the 90%
confidence interval for the average distance that
commuting students travel to the campus.
-----
sample mean = x-bar = 35 miles
-----
ME = 1.645*5/sqrt(64) = 1.028
-----
95% CI: 35-1.028 < u < 35+1.028
95% CI: 33.9720 < u < 36.028
=======
We can be 95% certain that the average travel distance is
between 33.97 and 36.03
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