The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of ? b. What is the random variable in this problem? Define it in words. c. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours? d. What is the probability that the average life in the sample will be greater than 3,219.24 hours? e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of ? b. What is the random variable in this problem? Define it in words. c. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours? d. What is the probability that the average life in the sample will be greater than 3,219.24 hours? e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A
simple random sample of 36 bulbs is taken.
a. What are the expected value, standard deviation, and shape of the sampling distribution
of ?
b. What is the random variable in this problem? Define it in words.
c. What is the probability that the average life in the sample will be between 2,670.56 and
2,809.76 hours?
d. What is the probability that the average life in the sample will be greater than 3,219.24
hours?
e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
simple random sample of 36 bulbs is taken.
a. What are the expected value, standard deviation, and shape of the sampling distribution
of ?
b. What is the random variable in this problem? Define it in words.
c. What is the probability that the average life in the sample will be between 2,670.56 and
2,809.76 hours?
d. What is the probability that the average life in the sample will be greater than 3,219.24
hours?
e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
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