Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ 229.5 ft and o 6.7 ft. = -

MATLAB: An Introduction with Applications
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Let \( X \) represent the full height of a certain species of tree. Assume that \( X \) has a normal probability distribution with \( \mu = 229.5 \) ft and \( \sigma = 6.7 \) ft.

You intend to measure a random sample of \( n = 48 \) trees.

What is the mean of the distribution of sample means?
\[ \mu_{\bar{x}} = \, \boxed{\phantom{answer}} \, \text{ft} \]

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.)
\[ \sigma_{\bar{x}} = \, \boxed{\phantom{answer}} \, \text{ft} \]
Transcribed Image Text:Let \( X \) represent the full height of a certain species of tree. Assume that \( X \) has a normal probability distribution with \( \mu = 229.5 \) ft and \( \sigma = 6.7 \) ft. You intend to measure a random sample of \( n = 48 \) trees. What is the mean of the distribution of sample means? \[ \mu_{\bar{x}} = \, \boxed{\phantom{answer}} \, \text{ft} \] 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.) \[ \sigma_{\bar{x}} = \, \boxed{\phantom{answer}} \, \text{ft} \]
Expert Solution
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Given information:

μ=229.5σ=6.7

n=48 trees.

 

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