(i) Compute the probability that the mean of old process is more than 3403 hours. (ii) Calculate the probability that the difference between sample mean of improved and old process is at least 603 hours.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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The effective life of a bulb used in a car light is a random variable with mean
of 3400 hours and standard deviation of 25 hours. The distribution of
effective life is fairly close to a normal distribution. The car manufacturer
introduces an improvement into the manufacturing process for this bulb that
increases the mean life to 4000 hours and decreases the standard deviation to
15 hours. Given a random sample of 20 bulbs is selected from the old process
and 35 bulbs are selected from the improved process.
(c)
(1) Compute the probability that the mean of old process is more than 3403
hours.
(ii) Calculate the probability that the difference between sample mean of
improved and old process is at least 603 hours.
Transcribed Image Text:The effective life of a bulb used in a car light is a random variable with mean of 3400 hours and standard deviation of 25 hours. The distribution of effective life is fairly close to a normal distribution. The car manufacturer introduces an improvement into the manufacturing process for this bulb that increases the mean life to 4000 hours and decreases the standard deviation to 15 hours. Given a random sample of 20 bulbs is selected from the old process and 35 bulbs are selected from the improved process. (c) (1) Compute the probability that the mean of old process is more than 3403 hours. (ii) Calculate the probability that the difference between sample mean of improved and old process is at least 603 hours.
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