14. A job candidate with an offer from a prominent investment bank wanted to estimate how many hours she would have to work per week during her first year at the bank. She took a sample of six first-year analysts, asking how many hours they worked in the last week. Construct a 95% confidence interval with her results: 64, 82, 74, 73, 78, and 87 hours.

95% confidence interval: (67.97,84.69)

Step-by-step explanation:

We are given the following data set:

64, 82, 74, 73, 78, 87

Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences = 317.33

95% Confidence interval:  

Putting the values, we get,  

(67.97,84.69) is the required 95% confidence interval.

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