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Determining 95% Confidence Interval and Mean

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Julie is an industrial psychologist. She is currently studying stress among executives of health corporations. She developed a survey that he believes measures stress. A score of 80 indicates dangerous stress. A random sample of 15 executives revealed the following stress scores.


1. What is the 95% confidence interval for the population mean?
A. Upper is 85.2; lower is 94.4
B. Upper is 84.99; lower is 93.94
C. The confidence interval should not be calculated because the sample is too small.
D. There is not enough information to calculate a confidence interval.
E. The confidence interval is something else

2. Is it reasonable to conclude that the hospital executives have a mean stress level in the dangerous level?
A. Yes
B. No.

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Solution Summary

This solution assists with determining the 95% confidence interval for the population mean, and finds the mean.

Solution Preview

Mean for this data = 89.8

Standard deviation = 8.308

upper limit for 95% confidence interval

= 89.8 + 2.145*8.308/sqrt(15) = 94.4

upper limit for 95% confidence interval

= 89.8 - 2.145*8.308/sqrt(15) = ...

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