Part 1 The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4689 households discard waste with weights having a mean that exceeds 27.01 lb/wk. For many different weeks, it is found that the samples of 4689 households have weights that are normally distributed with a mean of 26.61 lb and a standard deviation of 12.31 lb.What is the proportion of weeks in which the waste disposal facility is overloaded?P(M > 27.01) = _______   Part 2 A population of values has a normal distribution with μ=156.7μ=156.7 and σ=21.1σ=21.1. You intend to draw a random sample of size n=244n=244.Find the probability that a single randomly selected value is less than 159.3.P(X < 159.3) = _______Find the probability that a sample of size n=244n=244 is randomly selected with a mean less than 159.3.P(M < 159.3) = _________

Question

Part 1

The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4689 households discard waste with weights having a mean that exceeds 27.01 lb/wk. For many different weeks, it is found that the samples of 4689 households have weights that are normally distributed with a mean of 26.61 lb and a standard deviation of 12.31 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 27.01) = _______

 

Part 2

A population of values has a normal distribution with μ=156.7μ=156.7 and σ=21.1σ=21.1. You intend to draw a random sample of size n=244n=244.

Find the probability that a single randomly selected value is less than 159.3.
P(X < 159.3) = _______

Find the probability that a sample of size n=244n=244 is randomly selected with a mean less than 159.3.
P(M < 159.3) = _________

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