) What is the significance of the smaller standard deviation or Machine 2? Since Machine 2 has a smaller standard deviation, there is less variation in the weights of the boxes of cereal. Since Machine 2 has a smaller standard deviation, there is more variation in the weights of the boxes of cereal. In order to be sold, each box must weigh at least 12.2 unces. Estimate the proportion of boxes from each machine hat pass this requirement. The proportion of boxes of boxes from Machine 1 that pass this requirement - The proportion of boxes of boxes from Machine 2 that pass this requirement =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The graphs show the distributions of weights of boxes of cereal
filled by two machines.
Frequency
10
Machine 1
Mean 12.4 oz SD-0.2 oz
12.0 12.3 12.6 12.9
Weight (ounces)
Frequency
Machine 2
Mean - 12.4 oz
10 SD-0.1 oz
12.15 12.35 12.55 12.75
Weight (ounces)
a) What is the significance of the smaller standard deviation
for Machine 2?
Since Machine 2 has a smaller standard deviation, there
is less variation in the weights of the boxes of cereal.
Since Machine 2 has a smaller standard deviation, there
is more variation in the weights of the boxes of cereal.
b) In order to be sold, each box must weigh at least 12.2
ounces. Estimate the proportion of boxes from each machine
that pass this requirement.
The proportion of boxes of boxes from Machine 1 that
pass this requirement =
The proportion of boxes of boxes from Machine 2 that
pass this requirement =
Transcribed Image Text:The graphs show the distributions of weights of boxes of cereal filled by two machines. Frequency 10 Machine 1 Mean 12.4 oz SD-0.2 oz 12.0 12.3 12.6 12.9 Weight (ounces) Frequency Machine 2 Mean - 12.4 oz 10 SD-0.1 oz 12.15 12.35 12.55 12.75 Weight (ounces) a) What is the significance of the smaller standard deviation for Machine 2? Since Machine 2 has a smaller standard deviation, there is less variation in the weights of the boxes of cereal. Since Machine 2 has a smaller standard deviation, there is more variation in the weights of the boxes of cereal. b) In order to be sold, each box must weigh at least 12.2 ounces. Estimate the proportion of boxes from each machine that pass this requirement. The proportion of boxes of boxes from Machine 1 that pass this requirement = The proportion of boxes of boxes from Machine 2 that pass this requirement =
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