Part 1

A population of values has a normal distribution with μ=135.9 and σ=18.1. You intend to draw a random sample of size n=96.

Find *P*_{61}, which is the score separating the bottom 61% scores from the top 39% scores.*P*_{61} (for single values) =

Find *P*_{61}, which is the mean separating the bottom 61% means from the top 39% means.*P*_{61} (for sample means) =

Part 2

The town of *KnowWearSpatial, U.S.A.* operates a rubbish waste disposal facility that is overloaded if its 5030 households discard waste with weights having a mean that exceeds 26.49 lb/wk. For many different weeks, it is found that the samples of 5030 households have weights that are normally distributed with a mean of 26.23 lb and a standard deviation of 12.49 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded?

P(*M* > 26.49) =

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