Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

question 164

Essay

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-When 25 randomly selected customers enter any one of several waiting lines, their waiting times have a
standard deviation of 5.35 minutes. When 16 randomly selected customers enter a single main waiting line,
their waiting times have a standard deviation of 2.2 minutes. Use a 0.05 significance level to test the claim that
there is more variation in the waiting times when several lines are used.

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Definitions:

Inefficient Use

refers to the scenario where resources are not being utilized in the best possible manner, leading to waste or suboptimal outcomes.

Economy's Resources

The total means available for a country or region to produce valuable goods and services, including labor, capital, and natural resources.

Efficiently Produce

The ability of an entity or economy to maximize output with the given set of resources and technology, minimizing waste and costs.

Production Possibilities Frontier

A curve depicting all maximum output possibilities for two or more goods, given a set of inputs.