The z-test and t-test are two ways to compare group means in different situations. As you’ve learned, it is important to choose the test that best fits the situation and the data.
Z-Test or T-TestFor 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.PopulationMean number of emails: 30
Standard deviation: 4
SampleMean 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.PopulationMean number of vehicles: 3.7
SampleMean 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.