This exercise has the following two tasks:
Task 1: Consider the three samples listed in the table:
|
A
|
B
|
C
|
|
1
|
0
|
3
|
|
3
|
6
|
12
|
|
5
|
2
|
6
|
|
|
5
|
3
|
|
|
2
|
|
- Obtain the sample mean and the sample standard deviation of each of the three samples.
- Obtain total sum of squares (SST,) treatment sum of squares (SSTR,) and error sum of squares (SSE) by using the de?ning formulas and verify that the one-way ANOVA identity holds.
- Obtain SST, SSTR, and SSE by using the computing formulas.
- Construct the one-way ANOVA table.
Task 2: Read the case study titled "Losses to Robbery" and answer the corresponding questions:
Losses to Robbery: The Federal Bureau of Investigation conducts surveys to obtain information on the value of losses from various types of robberies. The results of the surveys are published in Population-at-Risk Rates and Selected Crime Indicators. Independent simple random samples of reports for three types of robberies-highway, gas station, and convenience store-gave the following data, in dollars, on the value of losses.
|
Highway
|
Gas Station
|
Convenience Store
|
|
952
|
1298
|
844
|
|
996
|
1195
|
921
|
|
839
|
1174
|
880
|
|
Highway
|
Gas Station
|
Convenience Store
|
|
1088
|
1113
|
706
|
|
1024
|
953
|
602
|
|
|
1280
|
614
|
- What does treatment mean square (MSTR) measure?
- What does error mean square (MSE) measure?
- Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
Submission Requirements:
- Submit the assignment in a Microsoft Word or Excel document.
- Show detailed steps and provide appropriate rationale with your answers.
Evaluation Criteria:
- Correctly answered each question
- Included appropriate steps or rationale to determine the answer to each question