Question

Consumers can purchase nonprescription medications at food stores, mass merchandise stores such as Target and Wal-Mart, or pharmacies. About 45% of consumers make such purchases at pharmacies. What accounts for the popularity of pharmacies, which often charge higher prices?

A study examined consumers' perceptions of overall performance of the three types of stores, using a long questionnaire that asked about such things as "neat and attractive store," "knowledgeable staff," and "assistance in choosing among various types of nonprescription medication." A performance score was based on 27 such questions. The subjects were 219 people chosen at random from the Indianapolis telephone directory. Here are the means and standard deviations of the performance scores for the sample.

Store type	x	s
Food stores	18.31	25.11
Mass merchandisers	32.22	33.68
Pharmacies	48.76	35.40

We do not know the population standard deviations, but a sample standard deviation s from so large a sample is usually close to σ. Use s in place of the unknown σ in this exercise.

Give 90% confidence intervals for the mean performance for each type of store. (Round your answers to three decimal places.)

Food stores	(_,_)
Mass merchandisers	(_,_)
Pharmacies	(_,_)

Answer 1

At α = 0.10, two tailed critical value, z_c = NORM.S.INV(0.10/2) = 1.645

For food stores:

x̅ = 18.31, σ = 25.11, n = 219

90%  Confidence interval :              

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For Mass merchandisers:

x̅ = 32.22, σ = 33.68, n = 219

90%  Confidence interval :              

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For Pharmacies:

x̅ = 48.76, σ = 35.50, n = 219

90%  Confidence interval :