The data set noise.xlsx (also in .txt format: noise.txt) is the data about the n

Question

The data set noise.xlsx (also in .txt format: noise.txt) is the data about the noise level of computers from four different designs. Analyze the data to answer the following questions: (a) Report the average and standard deviation of noise level for each design. (b) Report the ANOVA table. (c) Test if the amount of noise for the four different designs are significant different using the level of significance 5%. [Hint: use the p-value of the F-test provided in the output.] (d) Use Tukey's Multiple Comparisons method to perform pairwise comparisons. Use the multiple comparison results to select your 'best' design? [note: the lower the noise the better].

Explanation / Answer

SolutionA:

Solutionb:

Solutionc:

H0:All four design group means noises are equal

H1:Atleast one of the group means are different

alpha=0.05

F statistic is

F(3,29)=216.8770147

p=

5.92E-20

p=0.0000

p<0.05 Reject H0

Accept H1.

Conclusion:

there is sufficient statistical evidence at 5% level of significance to conclude that the 4 group means are different.

Groups Average Variance Standard Deviation Design 1_Noise 23.625 25.69642857 5.069164 Design 2_Noise 63.5 27.71428571 5.264436 Design 3_Noise 37.25 12.21428571 3.494894 Design 4_Noise 69.77778 8.444444444 2.905933

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