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Problem 5 Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favourable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the trne average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected and it gives an average of 738.44 hours, with standard deviation 38.20 hours. a) Does the data provide evidence for concluding that the true average lifetime of the bulbs is less than 750 hours? Carry out a test of hypotheses using aO 02 confidence level.

Problem 5 Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favourable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the trne average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected and it gives an average of 738.44 hours, with standard deviation 38.20 hours. a) Does the data provide evidence for concluding that the true average lifetime of the bulbs is less than 750 hours? Carry out a test of hypotheses using aO 02 confidence level.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 5 Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favourable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the trne average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected and it gives an average of 738.44 hours, with standard deviation 38.20 hours. a) Does the data provide evidence for concluding that the true average lifetime of the bulbs is less than 750 hours? Carry out a test of hypotheses using a a02 confidence level. b) Calculate a upper confidence bound using a confidence level of 98% for the average lifetime for such certain type of bulbs. c) Is the result achieved in part b) supporting the one obtained in part a)? Explain,
Transcribed Image Text:Problem 5 Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favourable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the trne average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected and it gives an average of 738.44 hours, with standard deviation 38.20 hours. a) Does the data provide evidence for concluding that the true average lifetime of the bulbs is less than 750 hours? Carry out a test of hypotheses using a a02 confidence level. b) Calculate a upper confidence bound using a confidence level of 98% for the average lifetime for such certain type of bulbs. c) Is the result achieved in part b) supporting the one obtained in part a)? Explain,
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