Consumers can purchase nonprescription medications at food stores, mass merchand

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 s knowledgeable staff," and "assistance in choosing among various types of nonprescription medication A performance score was based on 27 such questions. The subjects were 201 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 18.54 25.35 Food stores Mass merchandisers 32.49 33.38 Pharmacies 48.49 35.76 We do not know the population standard deviations, but a sample standard deviation s so large a sample is usually close to a. Use s in place of the unknown o in this exercise. from

Explanation / Answer

for 90% CI, z=1.645

b)

here for food stores std error of mean =std deviation/(n)1/2 =1.788

hence 90% CI for mean performance of  food stores =sample mean -/+ z*std deviation =15.599 ;21.481

for Mass Merchandise std error of mean =std deviation/(n)1/2 =2.354

hence 90% CI for mean performance of  Mass Merchandise =sample mean -/+ z*std deviation =28.617 ;36.363

for Pharmacies std error of mean =std deviation/(n)1/2 =2.522

hence 90% CI for mean performance of  Pharmacies =sample mean -/+ z*std deviation =44.341 ; 52.639

c)

Yes the pharmacy interval is well above others as it is lowest interval is above the highest of rest of two stores

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