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A. Yes. B. No. C. It depends on μ. z is always smaller than t (ceteris paribus) so the interval would be narrower than is justified. AACSB: Analytic Blooms: Apply Difficulty: 2 Medium Learning Objective: 08-06 Know when to use Student's t instead of z to estimate μ. Topic: Confidence Interval for a Mean (μ) with Unknown σ 55. A random sample of 16 ATM transactions at the Last National Bank of Flat Rock revealed a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is: A. ± 0.639 B. ± 0.588 C. ± 0.300 D. ± 2.131 The width is ts/(n) 1/2 = (2.131)(1.2)/(16) 1/2 = 0.639. AACSB: Analytic Blooms: Apply Difficulty: 2 Medium Learning Objective: 08-06 Know when to use Student's t instead of z to estimate μ. Topic: Confidence Interval for a Mean (μ) with Unknown σ 56. We could narrow a 95 percent confidence interval by: