Question

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 P61, which is the score separating the bottom 61% scores from the top 39% scores.
P61 (for single values) = 

Find P61, which is the mean separating the bottom 61% means from the top 39% means.
P61 (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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