Do Pinterest shoppers and Facebook shoppers differ with respect to spending behavior? A study of browser- based shopping sessions reported that Pinterest shoppers spent a mean of $ 153 per order and Facebook shoppers spent a mean of $ 85 per order. (Data extracted from bit.ly/ 14wG1YI.) Suppose that the study consisted of 500 Pinterest shoppers and 500 Facebook shoppers, and the standard deviation of the order value was $ 150 for Pinterest shoppers and $ 80 for Facebook shoppers. Assume a level of significance of 0.05. Is there evidence of a difference in the variances of the order values between Pinterest shoppers and Facebook shoppers? Is there evidence of a difference in the mean order value between Pinterest shoppers and Facebook shoppers? Construct a 95% confidence interval estimate for the difference in mean order value between Pinterest shoppers and Facebook shoppers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Do Pinterest shoppers and Facebook shoppers differ with respect to spending behavior? A study of browser- based shopping sessions reported that Pinterest shoppers spent a mean of $ 153 per order and Facebook shoppers spent a mean of $ 85 per order. (Data extracted from bit.ly/ 14wG1YI.) Suppose that the study consisted of 500 Pinterest shoppers and 500 Facebook shoppers, and the standard deviation of the order value was $ 150 for Pinterest shoppers and $ 80 for Facebook shoppers. Assume a level of significance of 0.05.

  1. Is there evidence of a difference in the variances of the order values between Pinterest shoppers and Facebook shoppers?
  2. Is there evidence of a difference in the mean order value between Pinterest shoppers and Facebook shoppers?
  3. Construct a 95% confidence interval estimate for the difference in mean order value between Pinterest shoppers and Facebook shoppers.
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