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Arlecino [84]
3 years ago
10

An automobile shop manager timed 27 employees and recorded the time, in minutes, it took them to change a water pump. Assuming n

ormality, use Excel to find the 99% confidence interval for the true mean. Round your answers to three decimal places and use increasing order.
18.4 16.1 19.5 16.5 12.5 17.2 13.8 17.9 19.1 9.8 23.8 18.7 19.1 15.0 19.2 17.0 11.5 15.7 22.5 23.7 19.9 17.6 15.0 17.8 20.7 14.2 15.4
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

Excel attached with the solution.

Step-by-step explanation:

Mean

\bar{x}=\frac{\sum x_{i}}{n}

Standard deviation

sd=\sqrt{\frac{\sum (x_{i}-\bar{x})}{n-1}}

Confidence interval

\bar{x} \pm z_{\alpha}*sd/\sqrt{n}

The formulas used are in the Excel file attached.

Download xlsx
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Answer in decimal form:   -4.25 < x < 2.75

=======================================================

Work Shown:

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