A sales analyst wants to determine whether there is a difference in the mean monthly sales of a company's four sales regions. Several salespersons from each region are randomly selected and they provide their sales amount (in thousands of dollars) for the previous month. Using a 1% significance, can we conclude at least one region is different on average? Region Sales North North North North East East East East East South South South South West West West West West 19 19 21 39 22 21 23 27 30 20 25 16 20 28 27 19 23 12 What is the factor variable? [Select an answer What is the response variable? Select an answer Test Statistic: P-Value: Decision Rule: Select an answer Did Something Significant Happen? Select an answer There Select an answer to conclude Select an answer
A sales analyst wants to determine whether there is a difference in the mean monthly sales of a company's four sales regions. Several salespersons from each region are randomly selected and they provide their sales amount (in thousands of dollars) for the previous month. Using a 1% significance, can we conclude at least one region is different on average? Region Sales North North North North East East East East East South South South South West West West West West 19 19 21 39 22 21 23 27 30 20 25 16 20 28 27 19 23 12 What is the factor variable? [Select an answer What is the response variable? Select an answer Test Statistic: P-Value: Decision Rule: Select an answer Did Something Significant Happen? Select an answer There Select an answer to conclude Select an answer
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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Transcribed Image Text:### Analysis of Regional Sales Data
A sales analyst is evaluating whether there is a variation in the mean monthly sales across four distinct sales regions within a company. Sales representatives from each region have been selected randomly to submit their sales amounts (in thousands of dollars) for the past month. The objective is to determine, with a 1% significance level, if there is a statistically significant difference in average sales between any of the regions.
#### Sales Data by Region
| Region | Sales (in Thousands) |
|--------|----------------------|
| North | 19 |
| North | 19 |
| North | 21 |
| North | 39 |
| East | 22 |
| East | 21 |
| East | 23 |
| East | 27 |
| East | 30 |
| South | 20 |
| South | 25 |
| South | 16 |
| South | 20 |
| West | 28 |
| West | 27 |
| West | 19 |
| West | 23 |
| West | 12 |
#### Statistical Analysis Inputs
- **Factor Variable**: (Select the appropriate factor)
- **Response Variable**: (Select the appropriate response)
#### Test Statistics and Decision Making
- **Test Statistic**: (Provide calculation/result)
- **P-Value**: (Provide result)
#### Decision Rule:
- Based on the P-value and test statistic, a decision will be made using the 1% significance level.
#### Results Interpretation
- **Did Something Significant Happen?**: (Select Yes/No)
- **Conclusion**: There is (or isn’t) enough evidence to conclude that at least one region's average sales differ from the others.
This analysis will help in understanding if regional differences in sales warrant strategic changes or adjustments in approach.
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