Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: 33 not claim H₁: μ<33 claim This hypothesis test is a one-tailed ▼test. Part: 1/5 Part 2 of 5 (b) Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, seperate them with commas. Critical value(s): D.D.... Use the critical value method and tables. X
Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: 33 not claim H₁: μ<33 claim This hypothesis test is a one-tailed ▼test. Part: 1/5 Part 2 of 5 (b) Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, seperate them with commas. Critical value(s): D.D.... Use the critical value method and tables. X
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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C. Compute the test value
D. Make a decision
![### Cigarette Smoking Hypothesis Testing
A researcher conducted a study to evaluate the average number of cigarettes smoked per day by smokers. It was initially found that smokers consume, on average, 33 cigarettes a day. The researcher believes this number is too high and hypothesizes that smokers actually consume fewer than 33 cigarettes daily. Here is the examination of this claim using a sample study:
---
#### Study Overview
- **Sample Information:**
- Sample size (\(n\)): 10 smokers
- Sample mean (\(\bar{x}\)): 27 cigarettes per day
- Sample standard deviation (\(s\)): 2.5
- **Significance Level:**
- \(\alpha = 0.01\)
---
#### Part 1 of 5: Setting the Hypotheses
(a) **State the hypotheses and identify the claim.**
- **Null Hypothesis (\(H_0\))**: \(\mu = 33\) (The average number of cigarettes smoked per day is 33).
- **Alternative Hypothesis (\(H_1\))**: \(\mu < 33\) (Claim: The average number of cigarettes smoked per day is less than 33).
The test is a **one-tailed** test, focusing on detecting a decrease in the number smoked cigarettes.
#### Progress
- Completion: **Part: 1 / 5**
- Progress bar indicated with a visual meter.
---
#### Part 2 of 5: Determining Critical Values
(b) **Find the critical value(s).** The answer should be rounded to three decimal places. If more than one critical value exists, separate them with commas.
- **Critical value(s)**: [Input field to determine values]
This section guides in calculating the statistical critical values needed to evaluate the hypothesis at the given significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4e5146-969d-4643-8e1a-977cd9815aba%2Fe2b8d4da-fc93-491c-b93c-2f59cb9fd730%2Fcqjobz9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Cigarette Smoking Hypothesis Testing
A researcher conducted a study to evaluate the average number of cigarettes smoked per day by smokers. It was initially found that smokers consume, on average, 33 cigarettes a day. The researcher believes this number is too high and hypothesizes that smokers actually consume fewer than 33 cigarettes daily. Here is the examination of this claim using a sample study:
---
#### Study Overview
- **Sample Information:**
- Sample size (\(n\)): 10 smokers
- Sample mean (\(\bar{x}\)): 27 cigarettes per day
- Sample standard deviation (\(s\)): 2.5
- **Significance Level:**
- \(\alpha = 0.01\)
---
#### Part 1 of 5: Setting the Hypotheses
(a) **State the hypotheses and identify the claim.**
- **Null Hypothesis (\(H_0\))**: \(\mu = 33\) (The average number of cigarettes smoked per day is 33).
- **Alternative Hypothesis (\(H_1\))**: \(\mu < 33\) (Claim: The average number of cigarettes smoked per day is less than 33).
The test is a **one-tailed** test, focusing on detecting a decrease in the number smoked cigarettes.
#### Progress
- Completion: **Part: 1 / 5**
- Progress bar indicated with a visual meter.
---
#### Part 2 of 5: Determining Critical Values
(b) **Find the critical value(s).** The answer should be rounded to three decimal places. If more than one critical value exists, separate them with commas.
- **Critical value(s)**: [Input field to determine values]
This section guides in calculating the statistical critical values needed to evaluate the hypothesis at the given significance level.
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