Carolina, Inc. has three stores located in three different area. Random samples of the sales of the three stores (in $1000) are shown below. Note that the sample sizes are not equal. We want to conduct an ANOVA test to determine if the means of the three populations are equal.
Store 1 Store 2 Store 3
87 75 84
84 78 67
88 60 58
82 62
(1) Compute the overall mean.
(2) State the null and alternative hypotheses to be tested, using appropriate mathematical notation.
(3) The null hypothesis is to be tested at 95% confidence. Show all of your calculations and justifications to use the p-value approach for this hypothesis.
(4) Use the critical value approach for this hypothesis again.
(5) Create the ANOVA table for this hypothesis.
ANSWER:
I use Excel for calculations. The output is given below.
Answer for (5) is given in Excel output.
Please comment if you have any doubts.
For calculations in Excel you follow the steps.
1)Enter data
2)Data-->Data Analysis-->Single Factor ANOVA-->Select all data without heading. Then mention the output range.-->Ok
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