Washers In June 2007, Consumer Reports examinedtop-loading and front-loading washing machines, testingsamples of several different brands of each type. One ofthe variables the article reported was “cycle time”, thenumber of minutes it took each machine to wash a loadof clothes. Among the machines rated good to excellent,the 98% confidence interval for the difference in meancycle time (mTop - mFront ) is (-40, -22). a) The endpoints of this confidence interval are negativenumbers. What does that indicate?b) What does the fact that the confidence interval doesnot contain 0 indicate?c) If we use this confidence interval to test the hypothesisthat mTop - mFront = 0, what’s the correspondingalpha level?

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Washers In June 2007, Consumer Reports examined
top-loading and front-loading washing machines, testing
samples of several different brands of each type. One of
the variables the article reported was “cycle time”, the
number of minutes it took each machine to wash a load
of clothes. Among the machines rated good to excellent,
the 98% confidence interval for the difference in mean
cycle time (mTop - mFront
) is (-40, -22).
a) The endpoints of this confidence interval are negative
numbers. What does that indicate?
b) What does the fact that the confidence interval does
not contain 0 indicate?
c) If we use this confidence interval to test the hypothesis
that mTop - mFront = 0, what’s the corresponding
alpha level?
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