MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
### Tuna Consumption Hypothesis Test

**Scenario**:
A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.17 pounds. At \(\alpha = 0.05\), can you reject the claim?

---

**Hypothesis Identification**:

(a) Identify the null hypothesis and alternative hypothesis.

- **Option A**:
  - \( H_0 \): \(\mu > 3.5\)
  - \( H_a \): \(\mu \leq 3.5\)
  
- **Option B**:
  - \( H_0 \): \(\mu \leq 3.5\)
  - \( H_a \): \(\mu > 3.5\)

- **Option C**:
  - \( H_0 \): \(\mu > 3.1\)
  - \( H_a \): \(\mu \leq 3.1\)

- **Option D**:
  - \( H_0 \): \(\mu \leq 3.1\)
  - \( H_a \): \(\mu > 3.1\)

- **Option E**:
  - \( H_0 \): \(\mu = 3.5\)
  - \( H_a \): \(\mu \ne 3.5\)

- **Option F**:
  - \( H_0 \): \(\mu = 3.1\)
  - \( H_a \): \(\mu \ne 3.1\)

---

**Standardized Test Statistic**:

(b) Identify the standardized test statistic.

\[ z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}} \]

**Note**: Round to two decimal places as needed.

---

**P-Value Calculation**:

(c) Find the P-value.

**Note**: Round to three decimal places as needed.

---

**Hypothesis Decision**:

(d) Decide whether to reject or fail to reject the null hypothesis.

- **Option A**:
  - Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.5 pounds.

- **Option
expand button
Transcribed Image Text:### Tuna Consumption Hypothesis Test **Scenario**: A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.17 pounds. At \(\alpha = 0.05\), can you reject the claim? --- **Hypothesis Identification**: (a) Identify the null hypothesis and alternative hypothesis. - **Option A**: - \( H_0 \): \(\mu > 3.5\) - \( H_a \): \(\mu \leq 3.5\) - **Option B**: - \( H_0 \): \(\mu \leq 3.5\) - \( H_a \): \(\mu > 3.5\) - **Option C**: - \( H_0 \): \(\mu > 3.1\) - \( H_a \): \(\mu \leq 3.1\) - **Option D**: - \( H_0 \): \(\mu \leq 3.1\) - \( H_a \): \(\mu > 3.1\) - **Option E**: - \( H_0 \): \(\mu = 3.5\) - \( H_a \): \(\mu \ne 3.5\) - **Option F**: - \( H_0 \): \(\mu = 3.1\) - \( H_a \): \(\mu \ne 3.1\) --- **Standardized Test Statistic**: (b) Identify the standardized test statistic. \[ z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}} \] **Note**: Round to two decimal places as needed. --- **P-Value Calculation**: (c) Find the P-value. **Note**: Round to three decimal places as needed. --- **Hypothesis Decision**: (d) Decide whether to reject or fail to reject the null hypothesis. - **Option A**: - Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.5 pounds. - **Option
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman