Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**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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Transcribed Image Text:**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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