A Design Engineer Wants to Construct a Sample Mean Chart

question 118

Multiple Choice

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results: $$\begin{array} { r } { \text { Service Life (hours) } }\\\begin{array} { l l l l l } \text { Sample } & \\\hline 1 & 495 & 500 & 505 & 500 \\2 & 525 & 515 & 505 & 515 \\3 & 470 & 480 & 460 & 470\end{array}\end{array}$$ What is the mean of the sampling distribution of sample means when service life is in control?

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Definitions:

Excise Tax

Excise tax is a type of tax imposed on specific goods, services, or activities, typically to discourage consumption or generate revenue, often included in the purchase price.

Deadweight Loss

Deadweight loss is an economic inefficiency that occurs when the allocation of resources is not optimal, leading to a loss of total surplus or welfare within the economy.

Deadweight Loss

Deadweight loss is a loss of economic efficiency that can occur when the equilibrium for a good or a service is not achieved or is not achievable, often due to market failures, taxes, or subsidies.

Excise Tax

A tax levied on specific goods or services at purchase such as alcohol, tobacco, and gasoline.