A Statistician Knows That the Population of Light Bulb Lifetimes

question 37

Essay

A statistician knows that the population of light bulb lifetimes is normally distributed and has a standard deviation of 30 hours. A simple random sample of 36 bulbs yields a mean lifetime of 504 hours.
Construct a 99% confidence interval for the mean lifetime of all such bulbs.
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Interpret the interval.
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Definitions:

Technical Knowledge

The specific expertise and skills required to perform tasks related to technology, engineering, or specialized areas of a field.

Participative Leadership

is a style where leaders involve team members in the decision-making process, fostering a sense of ownership and motivation among participants.

Centralization

The concentration of decision-making authority at the top levels of an organization's management hierarchy.

Power Sharing

A practice or arrangement where control, authority, or influence over decision-making processes is distributed among various stakeholders or groups to ensure fair and equitable participation.