Question

Occasionally, a random sample of three packages of Skittles is selected from the output and weighed, to be sure that the manufacturing process is under control. Here are data on five such samples. Measurements are in ounces. Sample 3 1 4 5 1 3.64 2 3.65 3.62 3.49 3.61 3.58 3.62 2 3.56 3.58 3.67 3.49 3.65 3.45 3.54 3 3.61 What is average of the sample ranges for the weight of packages of Skittles? Select one: a. 0.10 b. none of the above c. 0.16 d. 0.06 e. 0.11

Answer 1

here, first i have calculated range for each sample, then i have taken average of the ranges data.

so, correct answer is 0.16 ( follow below table and excel formula for easy understanding)

1	B	C	D	E	F	G	H
2	Sample	1	2	3	4	5	Range
3	1	3.61	3.65	3.56	3.49	3.64	0.16
4	2	3.58	3.62	3.58	3.65	3.54	0.11
5	3	3.62	3.49	3.67	3.45	3.61	0.22
6							R Bar
7							0.16

Formula:

1	B	C	D	E	F	G	H
2	Sample	1	2	3	4	5	Range
3	1	3.61	3.65	3.56	3.49	3.64	=MAX(C3:G3)-MIN(C3:G3)
4	2	3.58	3.62	3.58	3.65	3.54	=MAX(C4:G4)-MIN(C4:G4)
5	3	3.62	3.49	3.67	3.45	3.61	=MAX(C5:G5)-MIN(C5:G5)
6							R Bar
7							=AVERAGE(H3:H5)