A property management company constructs a 95% confidence interval to estimate the mean amount of water
(in gallons) each unit uses per month. Assume that all
conditions have been met. The one-sample t-interval is
calculated to be (2,200, 3,800).
Water conservationists are requesting that the units in
this district use less than 4,000 gallons of water, on
average, per month. Is it reasonable to believe that this
company's units are in compliance with the request?
O No, because a different sample might give different
results, so no conclusion can be drawn.
O No, because the interval does not contain 4,000, so
the company is not in compliance with the request.
Yes, because the interval representing the mean
number of gallons used per month is entirely below
4,000, it is reasonable to believe the company's
units are in compliance with the request.
Yes, because the interval representing the mean
number of gallons used per month does not contain
4,000, it is reasonable to believe the company's
units are in compliance with the request.