**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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Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 20 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. Answer choices: A.) 5.90 years , 0.40 years b) 5.90 years , 0.09 years c.) 1.32 years , 1.80 years d) 1.32 years , 0.40 years
please see image
Please state if the statement is correct or wrong and explain why. Statement 1. The sampling distribution of the sample mean with a sample size of 12 has a smaller standard error than that of the sampling distribution of the sample mean with a sample size of 13. Statement 2. Degrees of Freedom is one of the parameters of the normal distribution. Statement 3. A parameter is a function of a sample.
For a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.
In a population of a certain species of newt, the mean length of the newts is μ= 63 inches and the standard deviation is σ= 3.4 inches. You collect a random sample of n=16 newts. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. mean of distribution= standard error= Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
The mean of the distribution of sample means would be equal to:
(Same question just could not fit all into one photo)
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. I need help with sketchng the distribution, (d) and (e)
Build the frequency distribution table with 5 classes, and for the following observations for some students marks? then Answer the following Questions from the constructed table... A) Which class has maximum frequency?... B) Which class has minimum frequency? .. C) Classify the ?type of table 88 39 38 45 50 76 78 33 28 36 88 46 67 72 58 30 85 56 51 42 38 68 67 84 41 52 76 69 41 685 ト
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 9, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 8, 8 What can be concluded at the α = 0.01 level of significance? The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is _______ α Based on this, we should _________ the null hypothesis.
On Excel Sheet 1: Using numbers 6,7,8,9,10,11 a. Create your population distribution function. (a table with x, P(x)).b. Create a well labeled, histogram of this population distribution function.c. Calculate its mean and standard deviation.d. What type of distribution is this (many common distributions have names, so what is its name)? Plz do it on excel sheet e. Is it symmetrical ?

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