c.) The sample means target or does not target of the population mean. In general, sample means do or does not make good estimates of population means because the mean is an unbiased or biased estimator. **b. Compare the Mean of the Population to the Mean of the Sampling Distribution of the Sample Mean.**The mean of the population, \(\_\_\_\_\), is [dropdown menu] the mean of the sample means, \(\_\_\_\_\). (Round to two decimal places as needed.)**c. Do the Sample Means Target the Value of the Population Mean?**In general, do sample means make good estimates of population means? Why or why not? The sample means [dropdown menu] the population mean. In general, sample means [dropdown menu] make good estimates of population means because the mean is [dropdown menu] estimator. **Title: Sampling Distribution of Sample Mean****Introduction:**The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 28, 21, and 18. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values.**Task:**a. Identify the 16 different possible samples and find the mean of each sample. Construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined.**Table: Sampling Distribution of the Sample Mean**| \(\bar{x}\) | Probability ||-------------|-------------|| 45 | || 36.5 | || 33 | || 31.5 | || 28 | || | || \(\bar{x}\) | Probability || 24.5 | || 23 | || 21 | || 19.5 | || 18 | |*Note: Enter probabilities as integers or fractions.*This table illustrates the possible sample means and their corresponding probabilities for random samples of size 2, selected with replacement from the given population.

The values in the population are 45, 28, 21, 18. Samples of size n=2 are randomly selected with…

Answered: b. Compare the mean of the population…

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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c.) The sample means target or does not target of the population mean. In general, sample means do or does not make good estimates of population means because the mean is an unbiased or biased estimator.

**b. Compare the Mean of the Population to the Mean of the Sampling Distribution of the Sample Mean.**

The mean of the population, \(\_\_\_\_\), is [dropdown menu] the mean of the sample means, \(\_\_\_\_\).
(Round to two decimal places as needed.)

**c. Do the Sample Means Target the Value of the Population Mean?**

In general, do sample means make good estimates of population means? Why or why not?
The sample means [dropdown menu] the population mean. In general, sample means [dropdown menu] make good estimates of population means because the mean is [dropdown menu] estimator.

**Title: Sampling Distribution of Sample Mean**

**Introduction:**
The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 28, 21, and 18. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values.

**Task:**
a. Identify the 16 different possible samples and find the mean of each sample. Construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined.

**Table: Sampling Distribution of the Sample Mean**

| \(\bar{x}\) | Probability |
|-------------|-------------|
| 45 | |
| 36.5 | |
| 33 | |
| 31.5 | |
| 28 | |
| | |
| \(\bar{x}\) | Probability |
| 24.5 | |
| 23 | |
| 21 | |
| 19.5 | |
| 18 | |

*Note: Enter probabilities as integers or fractions.*

This table illustrates the possible sample means and their corresponding probabilities for random samples of size 2, selected with replacement from the given population.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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