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In: Statistics and Probability

Among its other features, the MyTVLab website allows customers to purchase MyTVLab LifeStyles merchandise online. To...

Among its other features, the MyTVLab website allows customers to purchase MyTVLab LifeStyles merchandise online. To handle payment processing, the management of MyTVLab has contracted with the following firms:
,• PayAFriend (PAF)— This is an online payment system with which customers and businesses such as MyTVLab register in order to exchange payments in a secure and convenient manner, without the need for a credit card.
,• Continental Banking Company (Conbanco) — This processing services provider allows MyTVLab custom-ers to pay for merchandise using nationally recognized credit cards issued by a financial institution.
,To reduce costs, management is considering eliminating one of these two payment systems. However, Lorraine Hildick of the sales department suspects that customers use the two forms of payment in unequal numbers and that ­customers display different buying behaviors when using the two forms of payment. Therefore, she would like to first determine the following:
,• The proportion of customers using PAF and the proportion of customers using a credit card to pay for their purchases.
,• The mean purchase amount when using PAF and the mean purchase amount when using a credit card.
,Assist Ms. Hildick by preparing an appropriate analysis. Open Payments Sample. pdf, read Ms. Hildick’s comments, and use her random sample of 50 transactions as the basis for your analysis. Summarize your findings to deter-mine whether Ms. Hildick’s conjectures about MyTVLab LifeStyle customer purchasing behaviors are correct. If you want the sampling error to be no more than $3 when estimating the mean purchase amount, is Ms. Hildick’s sample large enough to perform a valid analysis?

Amount Type
27.06 PAF
46.07 PAF
34.96 PAF
26.43 PAF
25.28 PAF
18.12 PAF
22.75 PAF
21.33 PAF
26.43 PAF
77.12 PAF
34.37 PAF
31.07 PAF
30.95 PAF
26.09 PAF
24.53 PAF
24.77 PAF
35.53 PAF
30.35 PAF
27.87 PAF
25.92 PAF
22.68 PAF
28.38 PAF
19.47 Conbanco
27.36 Conbanco
21.72 Conbanco
28.81 Conbanco
17.28 Conbanco
23.74 Conbanco
17.84 Conbanco
14.59 Conbanco
18.4 Conbanco
24 Conbanco
29.36 Conbanco
24.57 Conbanco
28.46 Conbanco
34.52 Conbanco
24.65 Conbanco
18.06 Conbanco
23.24 Conbanco
27.96 Conbanco
12.84 Conbanco
16.43 Conbanco
31.51 Conbanco
24.04 Conbanco
21.54 Conbanco
13.02 Conbanco
26.42 Conbanco
44.55 Conbanco
14.06 Conbanco
20.4 Conbanco

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