Refer to the indicated data set in Appendix B.
a. Construct a histogram to determine whether the data set has a normal distribution.
b. Find the sample mean and sample standard deviation s.
c. Use the sample mean as an estimate of the population mean µ, use the sample standard deviation as an estimate of the population standard deviation σ, and use the methods of this section to find the indicated probability.
Use the total weights of discarded garbage in Data Set 1, and estimate the probability of randomly selecting a household that discards more than 20.0 lb of garbage in a week.