**Instruction on Sampling Distribution for Educational Purposes**The heights of fully grown trees of a specific species are normally distributed, with a mean of 59.0 feet and a standard deviation of 5.75 feet. Random samples of size 14 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.**Steps:**1. **Calculate the Mean of the Sampling Distribution (μ$_X̅$)**: \[ \mu_{X̅} = \mu = 59.0 \text{ feet} \] - Enter the value in the blank provided.2. **Calculate the Standard Error of the Sampling Distribution (σ$_X̅$)**: \[ \sigma_{X̅} = \frac{\sigma}{\sqrt{n}} = \frac{5.75}{\sqrt{14}} \] - Round to two decimal places as needed. - Enter the value in the blank provided.3. **Select the Correct Graph of the Sampling Distribution**: - Examine the options provided for the graphical representation of the sampling distribution.**Graphs Provided**:- **Option A**: Features a normal distribution curve with a mean of 0 and standard deviations ranging from -2 to 2 on the x-axis. - **Option B**: Displays a normal distribution curve with the mean marked at 59.0 feet, the x-axis ranges from 47.5 to 70.5 feet.- **Option C**: Shows a normal distribution curve with the mean marked at 59.0 feet, the x-axis ranges from 55.9 to 62.1 feet.Choose the correct graph that best represents the sampling distribution based on the calculated mean and standard error of the sampling distribution._Final note_: Time Remaining for this task is displayed as 00:49:36 minutes.

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Answered: The heights of fully grown trees 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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