Three different washing solutions are being compared to study their effectivenes

Question

Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of variability, the experimenter decides to use a randomized block design. Observations are taken for four days, and the data are shown here. a. By hand calculation, analyze the data from this experiment (use alpha = 0.05), create an ANOVA table, and draw conclusions. (The short cut method illustrated in the PowerPoint materials is recommended.)

Explanation / Answer

H0: There is no difference between means of four days

H1:There is a difference between means of four days

alpha:5%

Test statistic:

From Excel

F cal=3.9079

Conclusion:

P value=0.055

Since P > 0.05, we do not reject the H0. Hence Claim is not significant.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance day1 3 34 11.33333 32.33333 day2 3 50 16.66667 121.3333 day3 3 36 12 91 day4 3 105 35 133 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1106.917 3 368.9722 3.907914 0.054679 4.066181 Within Groups 755.3333 8 94.41667 Total 1862.25 11

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