ZIP codes, revisited The intern from the marketingdepartment at the Holes R Us online piercing salon(Chapter 3, Exercise 53) has recently finished a studyof the company’s 500 customers. He wanted to knowwhether people’s ZIP codes vary by the last productthey bought. They have 16 different products, and theANOVA table of ZIP code by product showed thefollowing:Source DFSum ofSquaresMeanSquare F-Ratio P-ValueProduct 15 3.836e10 2.55734e9 4.9422 60.0001Error 475 2.45787e11 517445573Total 490 2.84147e11(Nine customers were not included because of missingZIP code or product information.)What criticisms of the analysis might you make? Whatalternative analysis might you suggest?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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ZIP codes, revisited The intern from the marketing
department at the Holes R Us online piercing salon
(Chapter 3, Exercise 53) has recently finished a study
of the company’s 500 customers. He wanted to know
whether people’s ZIP codes vary by the last product
they bought. They have 16 different products, and theANOVA table of ZIP code by product showed the
following:
Source DF
Sum of
Squares
Mean
Square F-Ratio P-Value
Product 15 3.836e10 2.55734e9 4.9422 60.0001
Error 475 2.45787e11 517445573
Total 490 2.84147e11
(Nine customers were not included because of missing
ZIP code or product information.)
What criticisms of the analysis might you make? What
alternative analysis might you suggest?

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