A random sample of 16 pharamcy customers showed the waiting times below (in minutes) 15, 12, 17, 17, 14, 16, 17, 22, 19, 23, 14, 25, 17 ,12, 17 ,18 Find a 90 percent confidence interval for u, 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 ____

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A random sample of 16 pharamcy customers showed the waiting times below (in minutes)

15, 12, 17, 17, 14, 16, 17, 22, 19, 23, 14, 25, 17 ,12, 17 ,18

Find a 90 percent confidence interval for u, 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 ____

Expert Solution
Working
X (x-xbar)^2
15 3.24
12 23.04
17 0.04
17 0.04
14 7.84
16 0.64
17 0.04
22 27.04
19 4.84
14 7.84
25 67.24
17 0.04
12 23.04
17 0.04
18 1.44

 

The mean is given by

\overline{x} = \frac{1}{n}\sum x

\overline{x} =\frac{252}{15} =16.8

 

The standard deviation is given by

\sigma =\sqrt{\frac{1}{n-1}\sum (x - \overline{x})^2}

\sigma =\sqrt{\frac{166.4}{14}} =3.4476

 

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