Problem 11. The critical flicker frequency (cff) is the highest frequency (in cycles/second) at which a person can detect the flicker in a flickering light source. At frequencies above the cff, the light source appears to be continuous even though it is actually flickering. Smith, James M. and Misiak, Henryk Misiak (1973, The effect of Iris color on critical flicker frequency, Journal of General Psychology, 89(1), 91-95) investigated whether the population mean cff varies with iris color based on the following data. Assume that frequencies from different colors follow normal distributions with the same variance, respectively. Iris Colors Brown Green Blue 1 26.8 26.4 25.7 2 27.9 24.2 27.2 3 23.7 28.0 29.9 4 25.0 26.9 28.5 5 26.3 29.1 29.4 6 24.8 28.3 7 25.7 8 24.5 a. Mean 25.5875 26.9200 28.1667 STD 1.3653 1.8431 1.5280 Construct an ANOVA table based on the given information. b. State the hypotheses of test that results in the P-value and make your conclusion at a significance level of 0.05.

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Problem 11. The critical flicker frequency (cff) is the highest frequency (in
cycles/second) at which a person can detect the flicker in a flickering light source. At
frequencies above the cff, the light source appears to be continuous even though it is
actually flickering. Smith, James M. and Misiak, Henryk Misiak (1973, The effect of Iris
color on critical flicker frequency, Journal of General Psychology, 89(1), 91-95)
investigated whether the population mean cff varies with iris color based on the following
data. Assume that frequencies from different colors follow normal distributions with the
same variance, respectively.
Iris Colors
Brown
Green
Blue
1
26.8
26.4
25.7
2
27.9
24.2
27.2
3
23.7
28.0
29.9
4
25.0
26.9
28.5
5
26.3
29.1
29.4
6
24.8
28.3
7
25.7
8
24.5
a.
Mean 25.5875 26.9200 28.1667
STD 1.3653 1.8431 1.5280
Construct an ANOVA table based on the given information.
b. State the hypotheses of test that results in the P-value and make your conclusion
at a significance level of 0.05.
Transcribed Image Text:Problem 11. The critical flicker frequency (cff) is the highest frequency (in cycles/second) at which a person can detect the flicker in a flickering light source. At frequencies above the cff, the light source appears to be continuous even though it is actually flickering. Smith, James M. and Misiak, Henryk Misiak (1973, The effect of Iris color on critical flicker frequency, Journal of General Psychology, 89(1), 91-95) investigated whether the population mean cff varies with iris color based on the following data. Assume that frequencies from different colors follow normal distributions with the same variance, respectively. Iris Colors Brown Green Blue 1 26.8 26.4 25.7 2 27.9 24.2 27.2 3 23.7 28.0 29.9 4 25.0 26.9 28.5 5 26.3 29.1 29.4 6 24.8 28.3 7 25.7 8 24.5 a. Mean 25.5875 26.9200 28.1667 STD 1.3653 1.8431 1.5280 Construct an ANOVA table based on the given information. b. State the hypotheses of test that results in the P-value and make your conclusion at a significance level of 0.05.
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