Question

In: Statistics and Probability

1. A population of values has a normal distribution with μ=226.6 and σ=18.8. You intend to...

1. A population of values has a normal distribution with μ=226.6 and σ=18.8. You intend to draw a random sample of size n=101n=101.

Find the probability that a single randomly selected value is less than 226.4.
P(X < 226.4) =

Find the probability that a sample of size n=101 is randomly selected with a mean less than 226.4.
P(x¯ < 226.4) = Enter your answers as numbers accurate to 4 decimal places.

2. Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ=249.8 ft and σ=9.8 ft.

You intend to measure a random sample of n=250 trees.

What is the mean of the distribution of sample means?
μx¯=

What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?
(Report answer accurate to 4 decimal places.)
σx¯=

Expert Solution

orchestra answered 2 years ago

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