Z-Test or T-Test For this assignment, you will review two different situations that both involve comparing a sample to a population. Consider the information available for each situation, choose the correct test, and use the data to conduct it. A researcher wants to compare the email use of the employees at one company to the corresponding population. Data is collected on the number of emails received by the company's employees. It will be necessary to use this sample data, as well as population data to determine if there is a significant difference between both. Population Mean number of emails: 30 Standard deviation: 4 Sample Mean number of emails: 33 Total employees: 100 A researcher wants to compare the number of vehicles owned by families in one location to the larger population. Data is collected on the number of vehicles owned by each family. It will be necessary to use this sample data, as well as population data to determine if there is a significant difference between them. Population Mean number of vehicles: 3.7 Sample Mean number of vehicles: 4.1 Standard deviation: 1 Sample size: 100 Create a report in which you address the following: Identify the test you selected for each situation. Explain why it was the appropriate test. Present the results of each test. Explain whether or not a significant difference was found between the sample and 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

See similar textbooks

Related questions

Question

Z-Test or T-Test

For this assignment, you will review two different situations that both involve comparing a sample to a population. Consider the information available for each situation, choose the correct test, and use the data to conduct it.

A researcher wants to compare the email use of the employees at one company to the corresponding population. Data is collected on the number of emails received by the company's employees. It will be necessary to use this sample data, as well as population data to determine if there is a significant difference between both.
- Population
  - Mean number of emails: 30
  - Standard deviation: 4
- Sample
  - Mean number of emails: 33
  - Total employees: 100
- A researcher wants to compare the number of vehicles owned by families in one location to the larger population. Data is collected on the number of vehicles owned by each family. It will be necessary to use this sample data, as well as population data to determine if there is a significant difference between them.
  - Population
    - Mean number of vehicles: 3.7
  - Sample
    - Mean number of vehicles: 4.1
    - Standard deviation: 1
    - Sample size: 100

Create a report in which you address the following:

Identify the test you selected for each situation.
Explain why it was the appropriate test.
Present the results of each test.
Explain whether or not a significant difference was found between the sample and the 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 + ...

Expert Solution