Advanced Placement (AP)

Carl Crosby

3 August, 04:15

A small internet mail-order company keeps track of the number of orders it fills per day for many years and determines that the distribution of the variable "orders filled per day" is right-skewed and has the following five-number summary:

Minimum = 20

Q1 = 32

Median = 46

Q3 = 63

Maximum = 80

Suppose we take random samples of size 40 from this distribution and calculate the range for each of our samples.

(i cant put in the graph, but its approximately normal with center between 56 and 57, with a range of 53 to 60).

A) There are two dots on the graph at 53. Explain what these values represent.

B) Is the sample range an unbiased estimator of the population? Use the dotplot above to justify your answer.