A factory produces a certain type of electrical components. Of the total production, 1% is defective. Find the probability that a randomly selected batch of 1000 will contain () 15 or more defectives; (i) exactly 12 defectives; (ii) less than 10 defectives. The expected lifetime of electric lightbulbs produced by a given process was 1500. To test a new batch, a sample of 10 was taken, which showed a mean lifetime of 1410 hours. The standard deviation is 90 hours. Test the hypothesis that the mean lifetime of the electric light bulbs has not changed, using a 5% significance level.
A factory produces a certain type of electrical components. Of the total production, 1% is defective. Find the probability that a randomly selected batch of 1000 will contain () 15 or more defectives; (i) exactly 12 defectives; (ii) less than 10 defectives. The expected lifetime of electric lightbulbs produced by a given process was 1500. To test a new batch, a sample of 10 was taken, which showed a mean lifetime of 1410 hours. The standard deviation is 90 hours. Test the hypothesis that the mean lifetime of the electric light bulbs has not changed, using a 5% significance level.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A factory produces a certain type of electrical components. Of the total
production, 1% is defective. Find the probability that a randomly
selected batch of 1000 will contain
()
15 or more defectives;
(i)
exactly 12 defectives;
(ii) less than 10 defectives.
The expected lifetime of electric lightbulbs produced by a given process
was 1500. To test a new batch, a sample of 10 was taken, which showed
a mean lifetime of 1410 hours. The standard deviation is 90 hours.
Test the hypothesis that the mean lifetime of the electric light bulbs has
not changed, using a 5% significance level.
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