Ten people went on a diet for a month. The weight losses experienced (in pounds) are given below. The negative weight loss is a weight gain. Test the hypothesis that the mean weight loss was more than 0, using a significance level of 0.05. Assume the population distribution is Normal. 2, 7, 10, 0, 3, 6, 5, 4, 2, and -2 Determine the null and alternative hypotheses. Choose the correct answer below. B. Ho: μ = 0 A. H₂: μ = 0 Ha:μ>0 Ha: μ<0 D. Ho: μ>0 Ha:μ≤o The test statistic is 3.35. (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.) E. Ho: μ<0 Ha:μ ≥0 C. Ho: μ#0 Ha:μ=0 OF. Ho: μ = 0 Ha:μ#0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

p-value.? plases

can you show step by step, I'm having a hard time understanding it. Thank you

### Hypothesis Testing Example

Ten people went on a diet for a month. The weight losses experienced (in pounds) are given below. Note that a negative weight loss indicates a weight gain. Test the hypothesis that the mean weight loss was more than 0, using a significance level of 0.05. Assume the population distribution is normal.

**Weight Loss Data:**
2, 7, 10, 0, 3, 6, 5, 4, 2, and -2

**Determine the Null and Alternative Hypotheses:**

Choose the correct answer below:

- A. \( H_0: \mu = 0 \)  
  \( H_a: \mu > 0 \) (Selected)
- B. \( H_0: \mu = 0 \)  
  \( H_a: \mu < 0 \)
- C. \( H_0: \mu \neq 0 \)  
  \( H_a: \mu = 0 \)
- D. \( H_0: \mu > 0 \)  
  \( H_a: \mu \leq 0 \)
- E. \( H_0: \mu < 0 \)  
  \( H_a: \mu \geq 0 \)
- F. \( H_0: \mu = 0 \)  
  \( H_a: \mu \neq 0 \)

**Test Statistic:**

The test statistic is 3.35.  
(Round to two decimal places as needed.)

**P-value:**

The p-value is \(\_\_\_\_ (Round to three decimal places as needed.)\)
Transcribed Image Text:### Hypothesis Testing Example Ten people went on a diet for a month. The weight losses experienced (in pounds) are given below. Note that a negative weight loss indicates a weight gain. Test the hypothesis that the mean weight loss was more than 0, using a significance level of 0.05. Assume the population distribution is normal. **Weight Loss Data:** 2, 7, 10, 0, 3, 6, 5, 4, 2, and -2 **Determine the Null and Alternative Hypotheses:** Choose the correct answer below: - A. \( H_0: \mu = 0 \) \( H_a: \mu > 0 \) (Selected) - B. \( H_0: \mu = 0 \) \( H_a: \mu < 0 \) - C. \( H_0: \mu \neq 0 \) \( H_a: \mu = 0 \) - D. \( H_0: \mu > 0 \) \( H_a: \mu \leq 0 \) - E. \( H_0: \mu < 0 \) \( H_a: \mu \geq 0 \) - F. \( H_0: \mu = 0 \) \( H_a: \mu \neq 0 \) **Test Statistic:** The test statistic is 3.35. (Round to two decimal places as needed.) **P-value:** The p-value is \(\_\_\_\_ (Round to three decimal places as needed.)\)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman