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# Two way ANOVA

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A student team in a business statistics course performed a factorial experiment to investigate the time required for pain relief tablets to dissolve in a glass of water. The two factors of interest were brand name Equate, Kroger or Alka -Seltzer, and temperature of the water hot or cold. The experiment consisted of four replicates for each of the six factor combinations. The following data stored in pain relief show the time a tablet took to dissolve (in seconds) for the 24 tablets used in the experiment.

Brand of Pain Relief Tablets

Water Equate Kroger Alka-Seltzer

cold 85.84 75.98 100.11
cold 78.69 87.66 99.65
cold 76.42 85.71 100.83
cold 74.43 86.31 96.16
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hot 21.53 24.19 23.80
hot 26.26 25.83 21.29
hot 24.95 26.32 20.82
hot 21.52 22.91 23.21

At the 0.05 level of significance,

A- is there an interaction between brand of pain reliever and water temperature?

B- is there an effect due to brand?

C- is there an effect due to water temperature?

D- plot the mean dissolving time for each brand for each water temperature.

E - Discuss the results of A through D.

Use the Anova file attached in excel.----------------------------------------------

##### Solution Summary

Step by step method for computing test statistic for two way ANOVA is given in the answer.

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