4. Construct a 95% confidence interval of the true mean life span of LED light bulbs manufactured by this factory.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

Answer 4,5&6

11:16 O
78
Answered: A fa...
bartleby.com
= bartleby
Q&A
Math / Statistics / Q&A Library / A factory manufact...
A factory manufacturing light emitti...
Question
A factory manufacturing light emitting diode LED bulbs claims that their light bulbs last
for 50,000 hours on the average. To confirm if this is valid, a quality control manager obtained a
sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of
the manufacturing process is 1000 hours.
1. What is the best point estimate for the true mean life span of the LED light bulbs
manufactured by this factory.
A factory manufacturing light emitting diode LED bulbs claims that their light bulbs last
for 50,000 hours on the average. To confirm if this is valid, a quality control manager obtained a
sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of
the manufacturing process is 1000 hours.
1. What is the best point estimate for the true mean life span of the LED light bulbs
manufactured by this factory.
2. What is the standard error of this point estimate?
3. What is the margin of error of this point estimate?
4. Construct a 95% confidence interval of the true mean life span of LED light bulbs
manufactured by this factory.
5. Do you think that the claim of the manufacturer is valid? Explain.
6. If you want to be 99% confident that the point estimate is at most 100 hours from the true
mean life span, how many light bulbs should be included in the sample?
Expert
1 Rating
Answer
Step 1
Note: " Since you have posted many
sub-narts. we will solve the first three.
...
Transcribed Image Text:11:16 O 78 Answered: A fa... bartleby.com = bartleby Q&A Math / Statistics / Q&A Library / A factory manufact... A factory manufacturing light emitti... Question A factory manufacturing light emitting diode LED bulbs claims that their light bulbs last for 50,000 hours on the average. To confirm if this is valid, a quality control manager obtained a sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of the manufacturing process is 1000 hours. 1. What is the best point estimate for the true mean life span of the LED light bulbs manufactured by this factory. A factory manufacturing light emitting diode LED bulbs claims that their light bulbs last for 50,000 hours on the average. To confirm if this is valid, a quality control manager obtained a sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of the manufacturing process is 1000 hours. 1. What is the best point estimate for the true mean life span of the LED light bulbs manufactured by this factory. 2. What is the standard error of this point estimate? 3. What is the margin of error of this point estimate? 4. Construct a 95% confidence interval of the true mean life span of LED light bulbs manufactured by this factory. 5. Do you think that the claim of the manufacturer is valid? Explain. 6. If you want to be 99% confident that the point estimate is at most 100 hours from the true mean life span, how many light bulbs should be included in the sample? Expert 1 Rating Answer Step 1 Note: " Since you have posted many sub-narts. we will solve the first three. ...
11:16 ®
78
253054 (1200×500)
content:
A factory manufacturing light emitting diode LED bulbs claims that their light bulbs last
for 50,000 hours on the average. To confirm if this is valid, a quality control manager obtained a
sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of
the manufacturing process is 1000 hours.
1. What is the best point estimate for the true mean life span of the LED light bulbs
manufactured by this factory.
2. What is the standard error of this point estimate?
3. What is the margin of error of this point estimate?
4. Construct a 95% confidence interval of the true mea
life span of LED light bulbs
manufactured by this factory.
5. Do you think that the claim of the manufacturer is valid? Explain.
6. If you want to be 99% confident that the point estimate is at most 100 hours from the true
mean life span, how many light bulbs should be included in the sample?
Transcribed Image Text:11:16 ® 78 253054 (1200×500) content: A factory manufacturing light emitting diode LED bulbs claims that their light bulbs last for 50,000 hours on the average. To confirm if this is valid, a quality control manager obtained a sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of the manufacturing process is 1000 hours. 1. What is the best point estimate for the true mean life span of the LED light bulbs manufactured by this factory. 2. What is the standard error of this point estimate? 3. What is the margin of error of this point estimate? 4. Construct a 95% confidence interval of the true mea life span of LED light bulbs manufactured by this factory. 5. Do you think that the claim of the manufacturer is valid? Explain. 6. If you want to be 99% confident that the point estimate is at most 100 hours from the true mean life span, how many light bulbs should be included in the sample?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,