In Exercise 54, we saw a 98% confidence interval of (-40, -22) minutes for (top - (Front the difference in time it takes top-loading and front-loading 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-loading machines.