Question

Question 3. A college counselor is interested in estimating how many credits a student typically enrolls in each semester. The counselor decides to randomly sample 100 students by using the registrar’s database of students. Sample statistics for this distribution are provided as below. STATISTICS VALUE MIN 8 Q1 13 MEDIAN 14 MEAN 13.65 SD 1.91 Q3 15 MAX 18 a) What is the point estimate for the average number of credits taken per semester by students at this college? 13.65 What about the median? 14 b) Is a load of 16 credits unusually high for this college? What about 18 credits? Explain your reasoning. Hint: Observations farther than two standard deviations from the mean are usually considered to be unusual.

Answer 1

a) The point estimate for the average number of credits taken per semester by students at this college is 13.65. The median is 14.

b) Mean ± 2 SD = 13.65 ± 2(1.91)

                          = 13.65 ± 3.82

   Mean ± 2 SD = (9.83, 17.47)

The load of 16 credits is not unusually high for this college because it lies within the values (9.83, 17.47).

The load of 18 credits is unusually high because it lies outside the values (9.83, 17.47).