In: Statistics and Probability
2. A company recently opened two supermarkets in different areas. Management wanted to know if the average sales per day for the two supermarkets was different. A 35-day sample for Supermarket A produced an average daily sales of $ 53,700, with a standard deviation of $ 2,900. A 30-day sample for Supermarket B produced an average daily sales of $ 58,450, with a standard deviation of $ 3,100.
to. Build a 96% confidence interval to estimate the difference
between the average daily sales for the two supermarkets.
b. Test at a 5% significance level if the average daily sales for
the two supermarkets are different.
c. Interpret the conclusion obtained in part b.
Let denote the average daily sales of Supermarket A and Supermarket B respectively.
a)
b)