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b. A company owns two Bath & Body Goods stores in different cities. The marketing manager wants to know if there is a difference in

b. A company owns two Bath & Body Goods stores in different cities. The marketing manager wants to know if there is a difference in their daily sales. To study this, a random sample of daily sales over a six-week period is observed and analysed using MS Excel. The results are shown in the following table. Store A Store B Mean $860.77 $903.63 Standard Deviation $286.44 $320.18 Observation 35 40 df 73 t Stat -0.596 t Critical one-tail 1.665 t Critical two-tail 1.992 Test the hypothesis at a 5% level of significance that there is a significant difference in the average daily sales between Store A and Store B. Assume that the daily sales of both stores are both normally distributed with equal variances. i. State the hypothesis statements. [1] ii. State the test statistic and the critical value. [1] iii. Write down the decision, clearly stating the reason. [1] iv. What is the conclusion?

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