Suppose a specialty food chain wants to compare the change in sales across different regions. An examination of the difference in sales over a 37-week period in a recent year for 8 stores in state A to 12 stores in nearby states reveals the following descriptive statistics for relative increase in sales. (If these means are multiplied by 100, they show % increase in sales.)
State |
N |
Mean |
StDev |
---|---|---|---|
A |
7 |
0.0726 |
0.0669 |
Other |
13 |
0.0597 |
Standard Deviation for other is 0.0513
a) Find the 90% confidence interval for the difference in relative increase in sales, over this time period
b) Is there a significant difference in increase in sales between these two groups of stores? Explain.
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