Problem

A confidence interval for a population mean is given by $(26,36)$.
A. Find a point estimate of the population mean.
Answer:
B. Find the margin of error.
Answer =

Answer

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Answer

Final Answer: A. The point estimate of the population mean is \(\boxed{31.0}\). B. The margin of error is \(\boxed{5.0}\).

Steps

Step 1 :Given a confidence interval for a population mean is \((26,36)\).

Step 2 :The point estimate of the population mean is the midpoint of the confidence interval. This can be calculated by taking the average of the lower and upper bounds of the interval.

Step 3 :The margin of error is half the width of the confidence interval. This can be calculated by subtracting the lower bound from the upper bound and dividing by 2.

Step 4 :Calculate the point estimate: \((26+36)/2 = 31.0\)

Step 5 :Calculate the margin of error: \((36-26)/2 = 5.0\)

Step 6 :Final Answer: A. The point estimate of the population mean is \(\boxed{31.0}\). B. The margin of error is \(\boxed{5.0}\).

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