A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli. (a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group? [Hint: in G*Power choose Test Means Many Groups: ANOVA: One-way (one independent variable) and select the procedure Effect size from variance]

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A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing
different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli.
(a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the
significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group?
[Hint: in G*Power choose Test → Means → Many Groups: ANOVA: One-way (one independent variable) and select the
procedure Effect size from variance]
Effect size =
Total sample Size =
Number in each group =
(b) If the experimenter was able to double the total number samples (and hence also double the size of each group), what power
would the study achieve?
Achieved power =
Transcribed Image Text:A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli. (a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group? [Hint: in G*Power choose Test → Means → Many Groups: ANOVA: One-way (one independent variable) and select the procedure Effect size from variance] Effect size = Total sample Size = Number in each group = (b) If the experimenter was able to double the total number samples (and hence also double the size of each group), what power would the study achieve? Achieved power =
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