A large software development firm recently relocated its facilities.Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities.They wish to determine the average number of hours the firm's professionals volunteer per month.They find the 95% confidence interval of 14.62 to 15.78.Which of the following is the correct interpretation?
A)We are 95% confident that the average number of hours per month volunteered by professionals employed with this firm is between 14.62 and 15.78.
B)95% of all firm's professional employees volunteer between 14.62 and 15.78 hours per month.
C)The number of hours per month volunteered by the firm's professional employees is between 14.62 and 15.78 95% of the time.
D)All of the above.
E)None of the above.

Question

Quizplus · Accepted Answer

The correct interpretation of a confidence interval is that we are 95% confident that the true average (mean) number of hours per month volunteered by professionals employed with the firm falls within the interval 14.62 to 15.78. This does not imply that 95% of the employees volunteer within this range of hours, nor does it mean that the number of hours volunteered falls within this range 95% of the time.

A Large Software Development Firm Recently Relocated Its Facilities