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A financial advisor wondered whether the mean rate of return of healthcare, consumer goods, and technology stocks differed over the past five years. She obtained

A financial advisor wondered whether the mean rate of return of healthcare, consumer goods, and technology stocks differed over the past five years. She obtained a simple random sample of 14 companies from each of the three sectors and obtained five-year rates of return. The means and standard deviations of the rates of return are given below.

Mean Rate of Return Standard Deviation Group
11.601 3.656 Health Care
8.504 3.217 Consumer Goods
15.082 5.798 Technology

An ANOVA F test was run on the data. Below is a portion of the results:

Source df Sums of squares Mean square F-ratio
Group 303.2
Error 19.1
Total

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