MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The standard deviation for all medium size hot dogs is 49.99 calories. A random selection of 55 different brands of medium size hot dogs has a mean of 239 calories. Comfort Food Magazine states the mean calories of a medium size hot dog size is 233. Is there sufficient evidence to conclude that the mean calories of a medium size hot dog is 233 based on level of significance of 0.03?
### Transcription and Explanation #### Finding Critical Values (CV) - **Question**: To find our Critical Value(s) (CV), will we use invNorm(), invT()? - **Options**: - Dropdown menu option: `invNorm()` #### Explanation - **Question**: Please explain the reason for the correct answer for step c. - **Answer**: The population standard deviation is given (σ). #### Calculation - **Instruction**: Round to Two Decimal Places - **CV1**: [Input Box] - **CV2**: [Input Box] #### Formula Selection - **Question**: What formula will we use for the test value? - **Options**: 1. \( t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}} \) 2. \( z = \frac{\hat{p} - p}{\sqrt{\frac{p \cdot q}{n}}} \) 3. \( z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \) *(This option is selected)* 4. \( z = \frac{(\hat{p}_1 - \hat{p}_2) - (p_1 - p_2)}{\sqrt{\hat{p}(1 - \hat{p})(\frac{1}{n_1} + \frac{1}{n_2})}} \) This content is structured to guide students in selecting the appropriate tool and formula for statistical calculations based on given conditions, particularly when the population standard deviation is provided.
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Transcribed Image Text:### Transcription and Explanation #### Finding Critical Values (CV) - **Question**: To find our Critical Value(s) (CV), will we use invNorm(), invT()? - **Options**: - Dropdown menu option: `invNorm()` #### Explanation - **Question**: Please explain the reason for the correct answer for step c. - **Answer**: The population standard deviation is given (σ). #### Calculation - **Instruction**: Round to Two Decimal Places - **CV1**: [Input Box] - **CV2**: [Input Box] #### Formula Selection - **Question**: What formula will we use for the test value? - **Options**: 1. \( t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}} \) 2. \( z = \frac{\hat{p} - p}{\sqrt{\frac{p \cdot q}{n}}} \) 3. \( z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \) *(This option is selected)* 4. \( z = \frac{(\hat{p}_1 - \hat{p}_2) - (p_1 - p_2)}{\sqrt{\hat{p}(1 - \hat{p})(\frac{1}{n_1} + \frac{1}{n_2})}} \) This content is structured to guide students in selecting the appropriate tool and formula for statistical calculations based on given conditions, particularly when the population standard deviation is provided.
**Title: Statistical Analysis: Calculating Test Values** **Instructions:** **Step g**: Determine the values for each part of our test value formula. Once completed, use this information to calculate the test value. 1. **Round to the Nearest Whole Number:** - \( \bar{x} \) (Sample Mean): ___ - \( \mu \) (Population Mean): ___ *(Note: Assume \( H_0 \) (the null hypothesis) is true until there is evidence against it.)* 2. **Round to Two Decimal Places:** - \( \sigma \) (Standard Deviation): ___ 3. **Sample Size:** - \( n \) (Sample size): ___ 4. **Round to Two Decimal Places:** - \( z \) (Z-score): ___ **Step h**: Choose the option that best represents where the test value will be situated on the appropriate normal distribution curve. - **Left-Tail Test** This section emphasizes calculating components of the test value and understanding their placement in statistical analysis.
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Transcribed Image Text:**Title: Statistical Analysis: Calculating Test Values** **Instructions:** **Step g**: Determine the values for each part of our test value formula. Once completed, use this information to calculate the test value. 1. **Round to the Nearest Whole Number:** - \( \bar{x} \) (Sample Mean): ___ - \( \mu \) (Population Mean): ___ *(Note: Assume \( H_0 \) (the null hypothesis) is true until there is evidence against it.)* 2. **Round to Two Decimal Places:** - \( \sigma \) (Standard Deviation): ___ 3. **Sample Size:** - \( n \) (Sample size): ___ 4. **Round to Two Decimal Places:** - \( z \) (Z-score): ___ **Step h**: Choose the option that best represents where the test value will be situated on the appropriate normal distribution curve. - **Left-Tail Test** This section emphasizes calculating components of the test value and understanding their placement in statistical analysis.
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