iPad 2:07 PM 35% . A4.2 Chapter 8 instructions help Question 8 (of 11) Save & Ex

Question

iPad 2:07 PM 35% . A4.2 Chapter 8 instructions help Question 8 (of 11) Save & Exit Submit 10.00 points A random sample of 16 pharmacy customers showed the waiting times below (in minutes). 27 31 17 23 18 10 27 15 14 18 Find a 90 percent confidence interval for , assuming that the sample is from a normal population. (Round your standard deviation answer to 4 decimal places and t-value to 3 decimal places. Round your answers to 3 decimal places.) The 90% confidence interval to References eBook &Resources; Worksheet Difficulty: 2 Medium Learning Objective: 08-06 Know when and how to use Student's t instead of z to estimate a mean

Explanation / Answer

Calculation

M = 19.875
t = 1.64
sM = (5.5842042/16) = 1.4

= M ± Z(sM)
= 19.875 ± 1.64*1.4
= 19.875 ± 2.2963

Result

M = 19.875, 90% CI [17.5787, 22.1713].

You can be 90% confident that the population mean () falls between 17.5787 and 22.1713.

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