A manufacturer claims that the mean lifetime, µ, of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) H, : 0 The null hypothesis: The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) O
A manufacturer claims that the mean lifetime, µ, of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) H, : 0 The null hypothesis: The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Topic Video
Question
![A manufacturer claims that the mean lifetime, \( \mu \), of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your responses as specified in the table. (If necessary, consult a list of formulas.)
| | |
|----------------------------------------|--------------------------------|
| The null hypothesis: | \( H_0: \, \) [ ] |
| The alternative hypothesis: | \( H_1: \, \) [ ] |
| The type of test statistic: | (Choose one) |
| The value of the test statistic: | (Round to at least three decimal places.) [ ] |
| The \( p \)-value: | (Round to at least three decimal places.) [ ] |
| | |
| Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? | [ ] Yes [ ] No |
**Symbols Chart**
- \( \mu \)
- \( \sigma \)
- \( p \)
- \( \bar{x} \)
- \( s \)
- \( \hat{p} \)
**Hypothesis Symbols**
- \( = \)
- \( \neq \)
- \( < \)
- \( \leq \)
- \( > \)
- \( \geq \)
This table is designed to help you test the manufacturer's claim by conducting a hypothesis test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ab042c5-c079-4a08-a9ae-9484ac74530b%2F3bdfa829-8767-4a85-b585-7392296c0443%2Fpgas43_processed.png&w=3840&q=75)
Transcribed Image Text:A manufacturer claims that the mean lifetime, \( \mu \), of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your responses as specified in the table. (If necessary, consult a list of formulas.)
| | |
|----------------------------------------|--------------------------------|
| The null hypothesis: | \( H_0: \, \) [ ] |
| The alternative hypothesis: | \( H_1: \, \) [ ] |
| The type of test statistic: | (Choose one) |
| The value of the test statistic: | (Round to at least three decimal places.) [ ] |
| The \( p \)-value: | (Round to at least three decimal places.) [ ] |
| | |
| Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? | [ ] Yes [ ] No |
**Symbols Chart**
- \( \mu \)
- \( \sigma \)
- \( p \)
- \( \bar{x} \)
- \( s \)
- \( \hat{p} \)
**Hypothesis Symbols**
- \( = \)
- \( \neq \)
- \( < \)
- \( \leq \)
- \( > \)
- \( \geq \)
This table is designed to help you test the manufacturer's claim by conducting a hypothesis test.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman