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# Determining 95% Confidence Interval and Mean

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.

Score
94
78
83
90
78
99
97
90
97
98
93
91
100
75
84

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.

#### 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) = ...

#### Solution Summary

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

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