#4 ## Educational Content: Statistical Analysis Exercises### Problem Set**1. Population Mean Testing**- Consider a variable representing the concentration of iron in water. The EPA specifies that this concentration should not exceed 2.17. A company claims that the iron concentration upstream is within this limit. - You have a random sample of size 8. - **Task A**: Does this sample indicate a higher mean iron concentration than claimed by the company? Generate a 99% confidence interval for the sample data. (Using α = 1%) **[Please work on a separate blank page for calculations]****2. Health Risk Assessment**- Consider a variable representing the concentration of chemical Z in human blood. - Over a long timeframe, a population mean $\mu \leq 12\%$ is considered healthy. - A patient’s sample over two weeks resulted in the following concentrations: 13.0 and 9.5. - **Task B**: Do these data suggest a population mean higher than 12% for this patient? Construct a 99% confidence interval. (Using α = 5%) **[Please work on a separate blank page]****3. Gender Disparity in Education**- Research indicates women athletes have a lower graduation rate of 67%. - A study was conducted with a sample of 200 women athletes. - Use a 1% level of significance to test if the graduation rate for this sample is different from the stated population rate.**4. Analyzing Sports Data**- A survey tracks sports participation over several years. - Use a 1% level of significance to test if the sports participation of women athletes who graduate from this university has changed.**5. Fishing Methods Comparison**- Determine whether it is better to fish from shore or from a boat. - Let data represent the number of hours fished from shore compared with fishing from a boat. - Data over several months (see table): | Month | B (Shore) | A (Boat) | |-------|-----------|----------| | Dec | 2.0 | 1.6 | | Jan | 3.2 | 2.2 | | Feb | 3.9 | 3.3 | | Mar | 3.6 | 3.0

Name: #4 ## Educational Content: Statistical Analysis Exercises### Problem S
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Description: #4 ## Educational Content: Statistical Analysis Exercises### Problem Set**1. Population Mean Testing**- Consider a variable representing the concentration of iron in water. The EPA specifies that this concentration should not exceed 2.17. A company c

x=21 n=38 p^=2138=0.55p0=0.67 define hypothesis: H0:p=0.67H1:p not equal to 0.67 test statistics:…

Math

Statistics

n athletes at a university have a long term graduation rate of 67%. Ove a random sample of 38 women athletes at the school showed that 21 his indicate that the population proportion of women athletes who gra sity has changed (either way)? Use a 1% level of significance.

n athletes at a university have a long term graduation rate of 67%. Ove a random sample of 38 women athletes at the school showed that 21 his indicate that the population proportion of women athletes who gra sity has changed (either way)? Use a 1% level of significance.

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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## Educational Content: Statistical Analysis Exercises

### Problem Set

**1. Population Mean Testing**
- Consider a variable representing the concentration of iron in water. The EPA specifies that this concentration should not exceed 2.17. A company claims that the iron concentration upstream is within this limit.
- You have a random sample of size 8.
- **Task A**: Does this sample indicate a higher mean iron concentration than claimed by the company? Generate a 99% confidence interval for the sample data. (Using α = 1%) **[Please work on a separate blank page for calculations]**

**2. Health Risk Assessment**
- Consider a variable representing the concentration of chemical Z in human blood.
- Over a long timeframe, a population mean $\mu \leq 12\%$ is considered healthy.
- A patient’s sample over two weeks resulted in the following concentrations: 13.0 and 9.5.
- **Task B**: Do these data suggest a population mean higher than 12% for this patient? Construct a 99% confidence interval. (Using α = 5%) **[Please work on a separate blank page]**

**3. Gender Disparity in Education**
- Research indicates women athletes have a lower graduation rate of 67%.
- A study was conducted with a sample of 200 women athletes.
- Use a 1% level of significance to test if the graduation rate for this sample is different from the stated population rate.

**4. Analyzing Sports Data**
- A survey tracks sports participation over several years.
- Use a 1% level of significance to test if the sports participation of women athletes who graduate from this university has changed.

**5. Fishing Methods Comparison**
- Determine whether it is better to fish from shore or from a boat.
- Let data represent the number of hours fished from shore compared with fishing from a boat.
- Data over several months (see table):

| Month | B (Shore) | A (Boat) |
|-------|-----------|----------|
| Dec | 2.0 | 1.6 |
| Jan | 3.2 | 2.2 |
| Feb | 3.9 | 3.3 |
| Mar | 3.6 | 3.0

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