Question

We have a population that consists of the full height of a certain species of tree....

We have a population that consists of the full height of a certain species of tree. Assume that the population has a normal distribution with μ=70.1ft and σ=44.6.

You intend to measure a random sample of n=207 trees.

What is the mean of the distribution of sample means?
μ¯x=

What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?
(Report answer accurate to 2 decimal places.)
σ¯x=

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

mean = = 70.1 ft

standard deviation = = 44.6 ft

n = 207

=   = 70.1 ft

= / n = 44.6 / 207 = 3.10

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