Question

In: Statistics and Probability

Nancy, Inc. has three stores located in three different areas. Random samples of the sales of...

Nancy, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (in $1000) are shown below. Please note the sample sizes are not equal.

Store 1

Store 2

Store 3

46

34

33

47

36

31

45

35

35

42

39

45

  1. Compute the overall mean
  2. At a 5% level of significance, test to see if there is a significant difference in the average sales of the three stores.

Solutions

Expert Solution

Run Anova single factor analysis in excel followed by below procedures:

1. Go to data tab --> data analysis --> choose Anova Single Factor

a. Compute the overall mean:

Mean per category:

b)  5% level of significance:

P-value: 0.0000316, lesser than 0.05

If the p-value is less than or equal to the significance level, you reject the null hypothesis and conclude that not all of population means are equal


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