Aatistics Name.
The amount of trash generated by US households varies according to the Normal distribution with a
mean of 52 pounds and a standard deviation of 8.6 pounds
1. What is the probability that a randomly selected US household generates less than 56 pounds of
trash?
You choose 50 households at random and compute their mean trash output, Xbar.
2. What are the mean and standard deviation of the sampling distribution of the mean trash output xbar
of the 50 households?
3. What is the probability that the mean trash output of the 50 households is less than 56 pounds?
4. Would your answers to 1, 2, or 3 be affected if the distribution of trash output in the population
were distinctly non-Normal? Justify your answer.
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