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 2 4 5 1 3.61 3.65 3.64 3.56 3.58 2 3.58 3.62 3.49 3.65 3.45 3.54 3 3.62 3.49 3.67 3.61 What is average of the sample ranges for the weight of packages of Skittles? Select one: a. 0.11 b. 0.06 c. none of the above d. 0.16 e. 0.10

Answer 1

Here, correct answer for average of the sample ranges=0.16

first i have calculated range value for each sample

Range=Max of subgroup values under each sample-Minimum of subgroup values under the same sample

Average of the sample ranges= sum of all ranges/number of sample

A E F G H 1 1 F G H 2 2 4 5 B с |В с Sample 1 3.61 3.58 3.62 D D 2 3.65 3.62 3.49 3 3 4 4 5 5 E 3 3.56 3.58 3.67 E[ ن| نیا 3.49 3.65 3.45 3.64 3.54 3.61 Range 0.16 0.11 0.22 R Bar 0.16 6 6 7 7

Formula:

A B С D E F G H 1 1 С D E F G H 2 2 B Sample 1 1 2 3 4 5 3 3 3.61 3.49 3.64 3.65 3.62 3.56 3.58 4 4 2 3.65 3.54 3.58 3.62 Range |=MAX(C3:43)-MIN(C3:63) =MAX(C4:G4)-MIN(C4:54) =MAX(C5:65)-MIN(C5:65) R Bar |=AVERAGE(H3:15) 5 5 3 3.49 3.67 3.45 3.61 6 6 7 7