question archive The market research director of a department store wants to study female customers’ spending on cosmetics
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The market research director of a department store wants to study female customers’ spending on cosmetics. A survey of the store’s female customers is designed in order to estimate the proportion of female customers who purchase their cosmetics primarily from this department and the mean annual amount that spent on cosmetics. A previous survey found that the standard deviation of the amount spent on cosmetics in a year is approximately $5,000.
a. What sample size is needed to have 99% confidence of estimating the population mean amount spent to within ± $500?
b. How many of the store’s customers need to be selected to have 99% confidence of estimating the true proportion of female customers who purchase their cosmetics primarily from this department to within ± 0.04 (4%)?
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