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The standard deviation for a population is σ = 15.3. A sample of 36 observations selected from this

population gave a mean equal to 74.8
a. Make a 90% confidence interval for µ
b. Construct a 95% confidence interval for µ
c. Determine a 99% confidence interval for µ
d. Does the width of the confidence intervals constructed in parts a through c increase as the confidence
level increases? Explain your answer�

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