A clothing retailer is interested in the average waist size of men. A sample is taken with the results given below. Column1 Мean 41.39 What is the sample statistic? = Ex: 1.23 Standard Error 1.033 Median 41 What is the point estimate for the average waist size? Mode 41 Standard Deviation 5.466 What is the level of confidence as a decimal? Ex: 0.55 Sample Variance 29.88 Kurtosis 0.474 What is the margin of error? Ex: 1.234 Skewness 0.608 Range 21 What is the confidence interval? [ Minimum 32 Maximum 53 Sum 1159 Count 60 Confidence Level(95.0%) 2.119
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![### Statistical Analysis for Average Waist Size of Men
A clothing retailer is interested in determining the average waist size of men. The results from a sample are detailed in the table below:
#### Summary Statistics
| Statistic | Value |
|---------------------|--------|
| Mean | 41.39 |
| Standard Error | 1.033 |
| Median | 41 |
| Mode | 41 |
| Standard Deviation | 5.466 |
| Sample Variance | 29.88 |
| Kurtosis | 0.474 |
| Skewness | 0.608 |
| Range | 21 |
| Minimum | 32 |
| Maximum | 53 |
| Sum | 1159 |
| Count | 60 |
| Confidence Level (95.0%) | 2.119 |
#### Questions and Answers
1. **What is the sample statistic?**
- (Example Answer: 1.23)
2. **What is the point estimate for the average waist size?**
3. **What is the level of confidence as a decimal?**
- (Example Answer: 0.55)
4. **What is the margin of error?**
- (Example Answer: 1.234)
5. **What is the confidence interval?**
- [ , ]
### Explanation of Graphs/Diagrams
There are no graphs or diagrams provided in this dataset, only a table with statistical values.
**Note to Educator:** Ensure students understand each statistical term and how to interpret it in the context of this data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52bd3cfe-3c9b-40ce-8732-3b0b81ba9280%2Fc6c3c03f-bd54-4bb4-ae9f-c5b4d8593d67%2Fj6okc9s_processed.jpeg&w=3840&q=75)
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