Please show all your work. A department store wants to estimate the mean monthly sales of its stores, which are distributed in to three different cities, city A, city B, and city C. The department store manager wants to take samples from the three cities and use stratification strategy in an effort to include all the stores and to get high precision. The data are in the following tables. Number of the stores Sample chosen A 50 B 40 C 10 Sample Means Sample Standard Deviation A 20000 Dirhams 50 Dirhams 500000 Dirhams 20 Dirhams C 6000000 Dirhams 30 Dirhams a) Use proportional method to get strata samples and complete the above table assuming the total sample is 24. b) Estimate the true mean monthly sales and construct a 95% confidence interval for the mean. c) What is total monthly sales for all the stores.

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