Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 37 workers at a large department store had a mean of 5.4. The standard deviation of the population is 1.4. Is there enough evidence to support the researcher's claim at a =0.01? Assume that the variable is normally distributed. Use the P-value method with tables.
Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 37 workers at a large department store had a mean of 5.4. The standard deviation of the population is 1.4. Is there enough evidence to support the researcher's claim at a =0.01? Assume that the variable is normally distributed. Use the P-value method with tables.
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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
Transcribed Image Text:**Step-by-Step Decision Process on Hypothesis Testing**
**Part 3 of 5**
Progress Bar: Approximately 60% complete.
**Part 4 of 5**
1. **Make the Decision**
- Instruction: Choose one option to either accept or reject the null hypothesis.
- Options: A dropdown menu is available for selection.
- Icons: A checkmark (X) and a refresh symbol are present for confirming or resetting choices.
**Part 4 of 5**
Progress Bar: Approximately 80% complete.
**Part 5 of 5**
1. **Summarize the Results**
- Instruction: Choose an option that describes the conclusion based on the data.
- Sentence Structure: "There is (Choose one) that the average number of sick days is greater than 5."
- Options: A dropdown menu is available for selection.
- Icons: A checkmark (X) and a refresh symbol are present for confirming or resetting choices.
This step-by-step guide provides a structured approach for making statistical decisions regarding hypotheses, specifically focusing on determining whether to accept or reject the null hypothesis based on the data.
![**Sick Days in Bed**
A researcher wishes to determine if the average number of sick days a worker takes per year is greater than 5. A random sample of 37 workers at a large department store had a mean of 5.4. The standard deviation of the population is 1.4. Is there enough evidence to support the researcher's claim at \(\alpha = 0.01\)? Assume the variable is normally distributed. Use the P-value method with tables.
**Instructions for Hypothesis Testing**
**Part 0/5**
**Part 1 of 5: Formulate Hypotheses**
- **State the hypotheses and identify the claim:**
- \( H_0 \) (Null Hypothesis): \([ \text{Choose one} ]\)
- \( H_1 \) (Alternative Hypothesis): \([ \text{Choose one} ]\)
- This hypothesis test is a \([ \text{Choose one} ]\) test.
**Part 1/5: Progress Indicator**
**Part 2 of 5: Calculate the Test Value**
- **Compute the test value:**
- Always round z-score values to at least two decimal places.
- \( z = [ \text{Input Box} ]\)
**Part 2/5: Progress Indicator**
**Part 3 of 5: Determine the P-value**
- **Find the P-value:**
- Round the answer to at least four decimal places.
- \( P\text{-value} = [ \text{Input Box} ]\)
**Graphical Elements:**
- The image contains selection boxes for choosing symbols and values related to hypothesis expressions and mathematical calculations, such as comparison operators and statistical symbols.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00c691a6-cff8-44ab-bee2-37e4e6d888f5%2F4aa27643-f4e5-485f-bf2a-4d4236d015f3%2F5j65rgc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Sick Days in Bed**
A researcher wishes to determine if the average number of sick days a worker takes per year is greater than 5. A random sample of 37 workers at a large department store had a mean of 5.4. The standard deviation of the population is 1.4. Is there enough evidence to support the researcher's claim at \(\alpha = 0.01\)? Assume the variable is normally distributed. Use the P-value method with tables.
**Instructions for Hypothesis Testing**
**Part 0/5**
**Part 1 of 5: Formulate Hypotheses**
- **State the hypotheses and identify the claim:**
- \( H_0 \) (Null Hypothesis): \([ \text{Choose one} ]\)
- \( H_1 \) (Alternative Hypothesis): \([ \text{Choose one} ]\)
- This hypothesis test is a \([ \text{Choose one} ]\) test.
**Part 1/5: Progress Indicator**
**Part 2 of 5: Calculate the Test Value**
- **Compute the test value:**
- Always round z-score values to at least two decimal places.
- \( z = [ \text{Input Box} ]\)
**Part 2/5: Progress Indicator**
**Part 3 of 5: Determine the P-value**
- **Find the P-value:**
- Round the answer to at least four decimal places.
- \( P\text{-value} = [ \text{Input Box} ]\)
**Graphical Elements:**
- The image contains selection boxes for choosing symbols and values related to hypothesis expressions and mathematical calculations, such as comparison operators and statistical symbols.
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