A study was conducted to determine the bubble formation of milk as affected by various factors: type of milk (M1, M2), temperature (T1, T2), and processing speed (S1, S2, S3). Three companies participated. Bottled milk from each type was randomly selected. Each bottle content was then divided into two portions and stored at different temperatures. After three hours, stored milk was divided into three where each portion was randomly subjected to a speed of shaking to form the bubbles. The volume of bubbles formed was measured thereafter. True or False? a. Variation of bubbles due to the interaction of the temperature and speed is lower than the unit to unit variation of bubbles due to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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A study was conducted to determine the bubble formation of milk as affected by
various factors: type of milk (M1, M2), temperature (T1, T2), and processing speed (S1, S2, S3). Three
companies participated. Bottled milk from each type was randomly selected. Each bottle content was then
divided into two portions and stored at different temperatures. After three hours, stored milk was divided
into three where each portion was randomly subjected to a speed of shaking to form the bubbles. The volume
of bubbles formed was measured thereafter.

True or False?

a. Variation of bubbles due to the interaction of the temperature and speed is lower than the unit
to unit variation of bubbles due to the sub-subplot random error.

b. significance of the main effect of temperature can be tested.

Sources of Variation
Companies
Type
Error(a)
Temperature
Type x Temperature
Error(b)
Speed
Type x Speed
Temperature x Speed
Type x Temperature x Speed
Error (c)
Fc
0.8774
5.6712
-
0.5431
0.9241
9.0164
1.2523
7.9854
0.9817
p-value
0.5671
0.0230
0.8832
0.9212
0.0023
0.4312
0.0152
0.6571
Transcribed Image Text:Sources of Variation Companies Type Error(a) Temperature Type x Temperature Error(b) Speed Type x Speed Temperature x Speed Type x Temperature x Speed Error (c) Fc 0.8774 5.6712 - 0.5431 0.9241 9.0164 1.2523 7.9854 0.9817 p-value 0.5671 0.0230 0.8832 0.9212 0.0023 0.4312 0.0152 0.6571
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