An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 660 days and a standard deviation of 122.5. BIG Corporation claims that the standard deviation of its electric bulbs is less than 122.5. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H. and the alternative hypothesis H, that we would use for this test. H: O H₁:0 μ ô 4 |x X O Р S OO 020

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

?

An independent consumer group published its findings that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 660 days and a standard deviation of 122.5. BIG Corporation claims that the standard deviation of its electric bulbs is less than 122.5. Suppose that we want to carry out a hypothesis test to see if BIG Corporation’s claim is correct. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that we would use for this test.

**Hypotheses:**
- \( H_0: \) [ ]
- \( H_1: \) [ ]

### Instructions:
- **Check:** Click here to validate your hypothesis entries.
- **Save For Later:** Use this option to save your current progress for future completion.
- **Submit Assignment:** Finalize your entries and submit your hypothesis test.

**Symbols for Entry:**
- \(\mu, \sigma, p, \leq, \geq, <, >\)

**Graph or Diagram Explanation:**
There is no graphical data or diagrams present in this text. The primary focus is on the entry of hypotheses using the given symbols.
Transcribed Image Text:An independent consumer group published its findings that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 660 days and a standard deviation of 122.5. BIG Corporation claims that the standard deviation of its electric bulbs is less than 122.5. Suppose that we want to carry out a hypothesis test to see if BIG Corporation’s claim is correct. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that we would use for this test. **Hypotheses:** - \( H_0: \) [ ] - \( H_1: \) [ ] ### Instructions: - **Check:** Click here to validate your hypothesis entries. - **Save For Later:** Use this option to save your current progress for future completion. - **Submit Assignment:** Finalize your entries and submit your hypothesis test. **Symbols for Entry:** - \(\mu, \sigma, p, \leq, \geq, <, >\) **Graph or Diagram Explanation:** There is no graphical data or diagrams present in this text. The primary focus is on the entry of hypotheses using the given symbols.
Expert Solution
Step 1: Given data :

Mean(straight mu)=660

Standard deviation(sigma)=122.5


steps

Step by step

Solved in 3 steps with 4 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