**Transcription for Educational Website**---Let $ X $ represent the full height of a certain species of tree. Assume that $ X $ has a normal probability distribution with $ \mu = 171.7 $ ft and $ \sigma = 91.5 $ ft.You intend to measure a random sample of $ n = 242 $ trees.1. What is the mean of the distribution of sample means? $ \mu_{\bar{x}} = $ ______ ft2. 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}} = $ ______ ft[Check Answer]---**Explanation:**This exercise is an application of statistical concepts related to the sampling distribution of the mean. The distribution of sample means will have the same mean as the population mean, $ \mu $, and its standard deviation (standard error) is calculated using the formula $ \sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} $, where $ n $ is the sample size.

GivenMean(μ)=171.7standard deviation(σ)=91.5sample size(n)=242

Answered: Let X represent the full height of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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