Question

Suppose a specialty food chain wants to compare the change in sales across different regions. An...

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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