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The standard deviation for a population is σ=14.5. A sample of 25 observations selected from this population gave a mean equal to 140.30. The population is known to have a normal distribution.

Round your answers to two decimal places.

a. Make a 99% confidence interval for μ( , )

b. Construct a 97% confidence interval for μ( , )

c. Determine a 95% confidence interval for μ( , )

d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases?

Yes

No

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