# Analysis of Variance (ANOVA) for coca cola data

2. Comparing the means of two independent populations:

Normal-- End Aisle

22 52 t-Test: Two-Sample Assuming Equal Variances

34 71

52 76 Normal End Aisle

62 54 Mean 50.3 72

30 67 Variance 350.6777778 157.3333333

40 83 Observations 10 10

64 66 Pooled Variance 254.0055556

84 90 Hypothesized Mean Difference 0

56 77 df 18

59 84 t Stat -3.044550123

P(T<=t) one-tail 0.003487428

t Critical one-tail 1.734063592

P(T<=t) two-tail 0.006974857

t Critical two-tail 2.100922037

Data above describe display location in a store selling Coca Cola (in cases), that is Normal and End-aisle locations. You want to determine whether the mean weekly sales of the store are the same when using normal shelf location and when using an end-aisle display. Assuming that the samples (Normal vs. End-Aisle) are from underlying normal populations having equal variances, use the output summary of the pooled-variance t-test above to test for the difference between the two means (50.3 Normal and 72 End-Aisle). For full credit, show and indicate your work including hypothesis testing, and conclusion.

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#### Solution Preview

Hypothesis:

Ho: mu1-mu2=0

Ha: mu1-mu2 not equal to 0

where mu1 = pop. mean weekly sales of the store when using normal shelf locations

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#### Solution Summary

Testing the effectiveness of two types of advertisement of coca cola product: display location in a store selling Coca Cola (in cases), that is Normal and End-aisle locations. You want to determine whether the mean weekly sales of the store are the same when using normal shelf location and when using an end-aisle display. Assuming that the samples (Normal vs. End-Aisle)