Question

Researchers are concerned about the impact of students working while they are enrolled in classes, and they’d like to know if students work too much and therefore are spending less time on their classes than they should be. First, the researchers need to find out, on average, how many hours per week students are working. They know from previous studies that the standard deviation of this variable is about 5 hours. A survey of 200 students provided the following 95% confidence interval for the average number of hours per week a student works (6.82, 7.38). Which of these is a valid interpretation of this confidence interval?

   a.  
There is a 95% probability that a randomly selected student worked between 6.82 and 7.38 hours.

    b.  
We are 95% confident that the average number of hours worked by students in our sample is between 6.82 and 7.38 hours.

    c.  
There is a 95% probability that the true average number of hours worked by all UF students is between 6.82 and 7.38 hours.

    d.  
We are 5% confident that the average number of hours worked by all UF students is between 6.82 and 7.38 hours.

Answer 1

b.
We are 95% confident that the average number of hours worked by students in our sample is between 6.82 and 7.38 hours.

Option B) is answer