Second load of wash In Exercise 4, we saw a 98% confidence interval of (-40, -22) minutes for mTop - mFront, 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 laundromats top loader, theres 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 Id expect the top loaders to be an average of 22 to 40 minutes faster. d) If I tried more samples, Id 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) Im 98% confident that top loaders wash clothes an average of 22 to 40 minutes faster than front-loaders.

Lecture 6: Random Variables 8.1 Random Variables - Definition: A random variable assigns a number to each outcome of a random circumstance, or, equivalently, a random variable assigns a number to each unit in a population. - Two broad classes of random variables: discrete random variables and continuous random variables. - Definitions: A discrete random variable can take one of a countable list of distinct values. Example: Number of years of studies. - A continuous random variable can take any value in an interval or collection of intervals. Example: Weight of a group of people Distribution of Random Variable