5. Is it better to fish from the shore or a boat? Let x be a random variable representing the number of hours taken to catch a fish. The table below contains the data taken over several months for B from the shore, and A from a boat. Oct Dec Jan Feb Mar udy 3.3 AON B (shore) 1.8 3.2 6'E 3.3 1.6 3.6 1.5 1.4 2.2 3.8 9'T Use a 1% level of significance to determine if there is a difference in the population mean hours per fish using a boat compared with fishing from shore. (This is a paired difference problem.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The following text appears to be for educational purposes involving statistical analysis and hypothesis testing:

---

1. **Testing Iron Concentration in Water**: 
   - Does the sample mean concentration exceed the company’s claim of 2.5? Use a 5% level of significance to test this hypothesis based on samples taken from an industrial park.
   - Calculate a 95% confidence interval for the sample data.

2. **Studying Chemical Z in Blood**:
   - Assess if the average concentration of Chemical Z is higher than 20%. This involves testing at a 5% significance level and calculating a 99% confidence interval from the given data. 

   Table: Concentration Data Across Months

\[
\begin{array}{|c|c|c|}
\hline
\text{Month} & \text{Sample 1} & \text{Sample 2} \\
\hline
\text{Oct} & 3.1 & 1.5 \\
\text{Nov} & 2.0 & 1.4 \\
\text{Dec} & 1.6 & 1.6 \\
\text{Jan} & 3.3 & 2.2 \\
\text{Feb} & 3.9 & 3.3 \\
\text{Mar} & 3.6 & 3.0 \\
\text{Apr} & 3.8 & 3.8 \\
\hline
\end{array}
\]

3. **Long Term Graduation Rate**:
   - Is there sufficient evidence to show that the long term graduation rate is different from 67%? Evaluate using the given sample data from the university.
   
4. **Fishing Hours Mean Comparison**:
   - Utilize a 5% level of significance to assess whether there is a significant difference in the mean hours spent fishing from shore versus from a boat.

5. **Analysis of Lay Fever Rates**:
   - Examine two random samples to determine if the rate of hay fever is significantly different between people over 50 and those under 25, using a significance level of 5%.

**Note**: Several of these problems have been adapted from textbook examples.

**End of Text**.

---

This text is meant for exercises in statistical hypothesis testing, confidence interval estimation, and comparison studies.
Transcribed Image Text:The following text appears to be for educational purposes involving statistical analysis and hypothesis testing: --- 1. **Testing Iron Concentration in Water**: - Does the sample mean concentration exceed the company’s claim of 2.5? Use a 5% level of significance to test this hypothesis based on samples taken from an industrial park. - Calculate a 95% confidence interval for the sample data. 2. **Studying Chemical Z in Blood**: - Assess if the average concentration of Chemical Z is higher than 20%. This involves testing at a 5% significance level and calculating a 99% confidence interval from the given data. Table: Concentration Data Across Months \[ \begin{array}{|c|c|c|} \hline \text{Month} & \text{Sample 1} & \text{Sample 2} \\ \hline \text{Oct} & 3.1 & 1.5 \\ \text{Nov} & 2.0 & 1.4 \\ \text{Dec} & 1.6 & 1.6 \\ \text{Jan} & 3.3 & 2.2 \\ \text{Feb} & 3.9 & 3.3 \\ \text{Mar} & 3.6 & 3.0 \\ \text{Apr} & 3.8 & 3.8 \\ \hline \end{array} \] 3. **Long Term Graduation Rate**: - Is there sufficient evidence to show that the long term graduation rate is different from 67%? Evaluate using the given sample data from the university. 4. **Fishing Hours Mean Comparison**: - Utilize a 5% level of significance to assess whether there is a significant difference in the mean hours spent fishing from shore versus from a boat. 5. **Analysis of Lay Fever Rates**: - Examine two random samples to determine if the rate of hay fever is significantly different between people over 50 and those under 25, using a significance level of 5%. **Note**: Several of these problems have been adapted from textbook examples. **End of Text**. --- This text is meant for exercises in statistical hypothesis testing, confidence interval estimation, and comparison studies.
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