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:

Psychological State

A mental condition in which the qualities of a person's mind, at a particular time, influence emotions, behaviors, and thoughts.

Flow

A mental state of operation in which a person is fully immersed in a feeling of energized focus, full involvement, and enjoyment in the process of the activity.

Consciousness

The state of being aware of and able to think about oneself, one's surroundings, and one's thoughts and emotions.

Gratitude Interventions

Practices designed to increase awareness and expression of gratitude, often used in psychology to enhance well-being.