To shorten the time it takes him to make his favorite pizza, a student designed an experiment to test the effect of sugar and milk on the activation times for baking yeast. Specifically, he tested four different 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: State the hypotheses about the recipes (both numerically and in words). Based on the boxplots above, would you reject or fail to reject the null hypothesis? Explain your reasoning by using the ideas of MSG and MSE. Would it be appropriate to follow up this study with multiple comparisons to see which recipes differ in their mean activation times? Explain

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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  1. To shorten the time it takes him to make his favorite pizza, a student designed an experiment to test the effect of sugar and milk on the activation times for baking yeast. Specifically, he tested four different 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:
    1. State the hypotheses about the recipes (both numerically and in words).
    2. Based on the boxplots above, would you reject or fail to reject the null hypothesis? Explain your reasoning by using the ideas of MSG and MSE.
    3. Would it be appropriate to follow up this study with multiple comparisons to see which recipes differ in their mean activation times? Explain.

800
700
600
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100
A B
Recipe
Activation Times (sec)
Transcribed Image Text:800 700 600 500 400 300 200 100 A B Recipe Activation Times (sec)
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