The Average Lifetime of a Light Bulb Is 3,000 Hours

question 43

Essay

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.What is the probability that the average life in the sample will be less than 3,180.96 hours?

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Definitions:

Operation Phase

The period during which a system, project, or facility is actively functioning and conducting its intended tasks or services.

Cycle View

A perspective or approach that emphasizes considering processes or systems as recurring cycles to better understand and manage them.

Process Division

The segmentation of a business or production process into distinct tasks or activities for efficiency and specialization.

Customer Order

A customer order is a request made by a customer to purchase goods or services from a business.