Q9 Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with µ=215.5 ft and ơ=89.9 ft. You intend to measure a random sample of n=236 trees. What is the mean of the distribution of sample means? H x= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?

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**Q9**

Let \( X \) represent the full height of a certain species of tree. Assume that \( X \) has a normal probability distribution with \( \mu = 215.5 \) ft and \( \sigma = 89.9 \) ft.

You intend to measure a random sample of \( n = 236 \) trees.

What is the mean of the distribution of sample means?

\[
\mu_{\bar{x}} = 
\]

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.)

\[
\sigma_{\bar{x}} = 
\]
Transcribed Image Text:**Q9** Let \( X \) represent the full height of a certain species of tree. Assume that \( X \) has a normal probability distribution with \( \mu = 215.5 \) ft and \( \sigma = 89.9 \) ft. You intend to measure a random sample of \( n = 236 \) trees. What is the mean of the distribution of sample means? \[ \mu_{\bar{x}} = \] 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.) \[ \sigma_{\bar{x}} = \]
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