1. A factory, manufacturing light-emitting diode (LED) bulbs, claims that the average lifespan of their light bulbs is 50, 000 hours. To confirm if this claim is valid, a quality control manager got a sample of 50 LED bulbs and obtained a mean lifespan of 40, 000 hours. The standard deviation of the manufacturing process is 1, 000 hours. Do you think the claim of the manufacturer is valid at the 5% level of significance?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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ACTIVITY 1:
1. A factory, manufacturing light-emitting diode (LED) bulbs,
claims that the average lifespan of their light bulbs is 50, 000
hours. To confirm if this claim is valid, a quality control
manager got a sample of 50 LED bulbs and obtained a mean
lifespan of 40, 000 hours. The standard deviation of the
manufacturing process is 1, 000 hours. Do you think the claim of
the manufacturer is valid at the 5% level of significance?
STEP 1. Formulate the null and alternative hypotheses.
Ho:
Ha:
STEP 2. Specify the level of significance and choose the
appropriate statistical tool.
STEP 3. Compute the test statistic.
Given: x =
x-Ho
Ho=
√n
0 =
n =
Z
Transcribed Image Text:ACTIVITY 1: 1. A factory, manufacturing light-emitting diode (LED) bulbs, claims that the average lifespan of their light bulbs is 50, 000 hours. To confirm if this claim is valid, a quality control manager got a sample of 50 LED bulbs and obtained a mean lifespan of 40, 000 hours. The standard deviation of the manufacturing process is 1, 000 hours. Do you think the claim of the manufacturer is valid at the 5% level of significance? STEP 1. Formulate the null and alternative hypotheses. Ho: Ha: STEP 2. Specify the level of significance and choose the appropriate statistical tool. STEP 3. Compute the test statistic. Given: x = x-Ho Ho= √n 0 = n = Z
STEP 4. Establish a critical region.
-3
2
STEP 5. Make a decision and a conclusion
Transcribed Image Text:STEP 4. Establish a critical region. -3 2 STEP 5. Make a decision and a conclusion
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