Problem (28 points) Show your work for full credit The average lifetime of a lig
ID: 3050278 • Letter: P
Question
Problem (28 points) Show your work for full credit
The average lifetime of a light bulb is 2,450 hours with a standard deviation of 582 hours. A simple random sample of 36 bulbs is taken.
What are the expected value, standard deviation, and shape of the sampling distribution of x?
What is the probability that the average life in the sample will be between 2,200 and 2,300 hours?
What is the probability that the average life in the sample will be greater than 2,700 hours?
What is the probability that the average life in the sample will be less than 2,500 hours?
What are the expected value, standard deviation, and shape of the sampling distribution of x?
What is the probability that the average life in the sample will be between 2,200 and 2,300 hours?
What is the probability that the average life in the sample will be greater than 2,700 hours?
What is the probability that the average life in the sample will be less than 2,500 hours?
Explanation / Answer
a) expected value =2450
standard deviation =582/(36)1/2 =97
as shape will be approximately normal from central limit theorum as sample size is greater than 30
b)
probability that the average life in the sample will be between 2,200 and 2,300 hours:
c)
probability that the average life in the sample will be greater than 2,700 hours:
d) probability that the average life in the sample will be less than 2,500 hours
for normal distribution z score =(X-)/Related Questions
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