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Chapter 8: Q 8.49 (page 331)

A confidence interval for a population mean has a margin of error of 3.4

a. Determine the length of the confidence interval.

b. If the sample mean is 52.8, obtain the confidence interval.

c. Construct a graph that illustrates your results.

Short Answer

Expert verified

a. Length of confidence is 3.4.

b. Confidence interval is(49,4,56.2).

c. The graph is:

Step by step solution

01

Given Information

Margin of error is 3.4.

Sample Mean is(49,4,56.2).

02

a. Determination of Length of Confidence

Margin Error E=3.4

Length of confidence is given as L=2E

L=2×3.4

L=6.8

03

b. Determination of Confidence Interval

Sample Mean =52.8

Confidence Interval = Post Estimate ±Margin of Error

=52.8±3.4

=(52.8-3.4,52.8+3.4)

=(49.4,56.2)

Confidence Interval is(49.4,56.2)

04

Graph of Confidence Interval

The graph is shown below:

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