800 700 600 500 400 300 200 100 A B D Recipe Activation Times (sec)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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Question
Activating baking yeast To shorten the time it takes him
to make his favorite pizza, a student designed an experi-
ment to test the effect of sugar and milk on the activation
ment to test the effect of sugar and milk on the activation
times for baking yeast. Specifically, he tested four differ-
ent recipes and measured how many seconds it took for
ent recipes and measured how many seconds it took for
the same amount of dough to rise to the top of a bowl. He
randomized the order of the recipes and replicated each
treatment 4 times.Here are the boxplots of activation times from the four
recipes:
randomized the order of the recipes and replicated each
treatment 4 times.Here are the boxplots of activation times from the four
recipes:
The ANOVA table follows:
Source DF
Sum of
Squares
Mean
Square F-Ratio P-Value
Recipe 3 638967.69 212989 44.7392 60.0001
Error 12 57128.25 4761
Total 15 696095.94
Sum of
Squares
Mean
Square F-Ratio P-Value
Recipe 3 638967.69 212989 44.7392 60.0001
Error 12 57128.25 4761
Total 15 696095.94
a) State the hypotheses about the recipes (both numeri-
cally and in words).
cally and in words).
b) Assuming that the assumptions for inference are satis-
fied, perform the hypothesis test and state your conclu-
sion. Be sure to state it in terms of activation times and
fied, perform the hypothesis test and state your conclu-
sion. Be sure to state it in terms of activation times and
recipes.
c) Would it be appropriate to follow up this study with
multiple comparisons to see which recipes differ in
their mean activation times? Explain.
c) Would it be appropriate to follow up this study with
multiple comparisons to see which recipes differ in
their mean activation times? Explain.
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