Question

The professor of a large probability class randomly selected 8 students and asked the amount of time (in hours) spent for her course per week. The data are given below. 7 9 5 12 14 6 10 3 Estimate the standard error of the estimated time spent in a week for this course by the students who are taking this course (round off to first decimal place).

Answer 1

Answer:a. μ = 9.667 hours

b. σ = 1.972 hours

c. SE = 0.805 hour

Sample size (n) = 6

Sample data (xi) = 10, 8, 9, 7, 11, 13

a. Mean time spent in a week for this course by students:

Sample mean is given by:

Mean time spent in a week per student is 9.667 hours

b. Standard deviation of the time spent in a week for this course by students:

Standard deviation is given by:

c. Standard error of the estimated mean time spent in a week for this course by students:

Standard error is given by: