-) 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
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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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