2. A company recently opened two supermarkets in different areas. Management wanted to know if the...

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2. A company recently opened two supermarkets in differentareas. Management wanted to know if the average sales per day forthe two supermarkets was different. A 35-day sample for SupermarketA produced an average daily sales of $ 53,700, with a standarddeviation of $ 2,900. A 30-day sample for Supermarket B produced anaverage daily sales of $ 58,450, with a standard deviation of $3,100.

to. Build a 96% confidence interval to estimate the differencebetween the average daily sales for the two supermarkets.
b. Test at a 5% significance level if the average daily sales forthe two supermarkets are different.
c. Interpret the conclusion obtained in part b.

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