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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Second load of wash. In Exercise 4, we saw a 98% confidence interval of minutes for
the difference in time it takes top-loading and frontloading washers to do a load of clothes. Explain why you think each of the following statements is true or false:
a) 98% of top loaders are 22 to 40 minutes faster than front loaders.
b) If I choose the laundromat’s top loader, there’s a 98% chance that my clothes will be done faster than if I had chosen the front loader.
c) If I tried more samples of both kinds of washing machines, in about 98% of these samples I’d expect the top loaders to be an average of 22 to 40 minutes faster.
d) If I tried more samples, I’d expect about 98% of the resulting confidence intervals to include the true difference in mean cycle time for the two types of washing machines.
e) I’m 98% confident that top loaders wash clothes an average of 22 to 40 minutes faster than front-loaders.
Exercise 4
Washers. In June 2007, Consumer Reports examined toploading 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
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
what’s the corresponding alpha level?
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