Math help neededstep/work would be appreciated **Research Project Data Analysis**For his research project, Clemens collected data from 200 randomly-selected people and started the construction of a two-way table. Unfortunately, Clemens has misplaced some of his data. Below is the partially completed table that Clemens has initiated:| | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals ||--------------------------|------------------------------|------------------------------|---------|| Average or Below Income | 36 | | || Above Average Income | | | 105 || Totals | 120 | | |Chris, complete the two-way table, justifying your entries.### Explanation for Completing the Table1. **Determining the total number of people with larger than average shoe size:** - Total number of people surveyed: 200 - Total number of people with average or smaller shoe size: 120 - Therefore, total number of people with larger than average shoe size = 200 - 120 = 802. **Filling in the total for people with average or below income and larger than average shoe size:** - Total number of people with above average income: 105 - Total number of people with average or below income = 200 - 105 = 95 - Therefore, number of people with average or below income and larger than average shoe size = 95 (total) - 36 (with average or smaller shoe size) = 593. **Completing the final row and column for totals:** - Total number of people with larger than average shoe size: 80 - Therefore, the number of people with above average income and larger than average shoe size = 80 (total) - 59 (average or below income) = 21 - Number of people with above average income and average or smaller shoe size = 105 - 21 = 84Final Completed Table:| | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals ||---------------------------|------------------------------|------------------------------|---------|| Average or Below Income | 36 | 59 | 95 || Above Average Income | 84 | 21 | 105 || Totals | 120 | 80 | 200 |**Justification:**-

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Description: Math help neededstep/work would be appreciated **Research Project Data Analysis**For his research project, Clemens collected data from 200 randomly-selected people and started the construction of a two-way table. Unfortunately, Clemens has misplaced

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-) For his research project, Average or smaller shoe Larger than average shoe size Clemens collected data rom 200 andomly-selected people nd started the two-way elow, but he has nisplaced his data. Help Totals size Average or below income 36 Above average income 105 Totals 120

-) For his research project, Average or smaller shoe Larger than average shoe size Clemens collected data rom 200 andomly-selected people nd started the two-way elow, but he has nisplaced his data. Help Totals size Average or below income 36 Above average income 105 Totals 120

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 18E: Broadway The ordered pairs below give the starting year and gross ticket sales S (in millions of...

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Question

Math help needed

step/work would be appreciated

**Research Project Data Analysis**

For his research project, Clemens collected data from 200 randomly-selected people and started the construction of a two-way table. Unfortunately, Clemens has misplaced some of his data. Below is the partially completed table that Clemens has initiated:

| | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals |
|--------------------------|------------------------------|------------------------------|---------|
| Average or Below Income | 36 | | |
| Above Average Income | | | 105 |
| Totals | 120 | | |

Chris, complete the two-way table, justifying your entries.

### Explanation for Completing the Table

1. **Determining the total number of people with larger than average shoe size:**
- Total number of people surveyed: 200
- Total number of people with average or smaller shoe size: 120
- Therefore, total number of people with larger than average shoe size = 200 - 120 = 80

2. **Filling in the total for people with average or below income and larger than average shoe size:**
- Total number of people with above average income: 105
- Total number of people with average or below income = 200 - 105 = 95
- Therefore, number of people with average or below income and larger than average shoe size = 95 (total) - 36 (with average or smaller shoe size) = 59

3. **Completing the final row and column for totals:**
- Total number of people with larger than average shoe size: 80
- Therefore, the number of people with above average income and larger than average shoe size = 80 (total) - 59 (average or below income) = 21
- Number of people with above average income and average or smaller shoe size = 105 - 21 = 84

Final Completed Table:

| | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals |
|---------------------------|------------------------------|------------------------------|---------|
| Average or Below Income | 36 | 59 | 95 |
| Above Average Income | 84 | 21 | 105 |
| Totals | 120 | 80 | 200 |

**Justification:**
-

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