Which online stationery store has the best prices? An independent agency recently was asked to investigate this question. The agency randomly selected n=144 items common to each of two online stationery suppliers (labelled A and B for confidentiality) and recorded the prices charged by each. The summary results are provided below, where d¯

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Which online stationery store has the best prices? An independent agency recently was asked to investigate this question.

The agency randomly selected n=144 items common to each of two online stationery suppliers (labelled A and B for confidentiality) and recorded the prices charged by each. The summary results are provided below, where d¯ is the sample mean of the difference in prices and sd is the sample standard deviation of the difference in prices:

x¯A=2.59 x¯B=2.09 d¯=0.50
sA=0.22 sB=0.25 sd=0.10

 

Assuming the data represent a matched pairs design, calculate the confidence interval for comparing mean prices using a 95% confidence level.  Select the correct answer from the list below:

Hint: Inferences about a paired difference in means are covered in Section 6.5.

Select one:
a.0.50 ± 0.01647
b.0.50 ± 0.01888
c.0.50 ± 0.19767
d.0.50 ± 0.01633
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