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:

Fiber

A dietary component found in fruits, vegetables, and whole grains, important for digestive health and preventing diseases.

Casual Contact

Interactions that occur in a social setting that are informal and not planned.

Saturated Fats

Fats containing a high proportion of fatty acid molecules without double bonds, considered less healthy in large amounts.

Polyunsaturated Fats

A type of healthy fat found in various foods, including fish and plant oils, that can improve heart health when consumed in moderation.