Store type x s Food stores 18.36 25.11 Mass merchandisers 32.02 33.30 Pharmacies

Question

Store type x s Food stores 18.36 25.11 Mass merchandisers 32.02 33.30 Pharmacies 48.68 35.67 pharmaciescitizens of Indianapolis     the American publicsick peopleconsumers the American publicpharmacies     consumerssick peoplecitizens of Indianapolis Yes, the pharmacy interval is well above the others.Yes, the mass merchandiser interval is well above the others.     Yes, the food store interval is well below the others.No, there is no clear evidence of a significant difference. Store type x s Food stores 18.36 25.11 Mass merchandisers 32.02 33.30 Pharmacies 48.68 35.67

Explanation / Answer

Answer:

By using, given data,

here ,n=196

(A) Here the sample size is 196(n) which is big so it is normal population.

(B) For food stores:

std error =std deviation/(n)1/2

=25.11/(196)^1/2

=1.793

and for 90% CI, z=1.645

hence confidence interval for food stores: =mean +/- z*std deviation

=18.36+/-1.645*1.793

=15.410 ; 21.309

similarly confidence interval for mass marchendisers:

std error =std deviation/(n)1/2

=33.30/(196)^1/2

=2.378

and for 90% CI, z=1.645

hence confidence interval for food stores: =mean +/- z*std deviation

=33.30+/-1.645*2.378

=29.388 ; 37.211

for pharmacies"

std error =std deviation/(n)1/2

=35.67/(196)^1/2

=2.547

and for 90% CI, z=1.645

hence confidence interval for food stores: =mean +/- z*std deviation

=48.68+/-1.645*2.547

=44.490;52.869

(C) Hence option B is correct.

Yes, the pharmacy interval is well above the others.

Store type x s Food stores 18.36 25.11 Mass merchandisers 32.02 33.30 Pharmacies 48.68 35.67

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