Question

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?

I. 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.
II. 95% of all firm's professional employees volunteer between 14.62 and 15.78 hours per month.
III. The number of hours per month volunteered by the firm's professional employees is between 14.62 and 15.78 95% of the time.

Group of answer choices

I only

II only

III only

I, II, and III

None of these.

Answer 1

Correct option is: I only

(II is incorrect: since interval is about mean number of hours and not for individual employee range of hours

again III is indicating for individual employees and not mean therefore it is also incorrect)