Math Solutions

(Steps Shown) Listed below are measured hardness indices from three different c ollections of gemstones. Collection Hardness Indices x̄_i s_i^2 A 9.3 9.3 9.3

Question: Listed below are measured hardness indices from three different c ollections of gemstones.

Collection Hardness Indices \[{{\bar{x}}_{i}}\] \[s_{i}^{2}\]
A 9.3 9.3 9.3 8.6 8.7 9.3 9.3 -- --- --- --- --- --- 9.91 0.10
B 8.7 7.7 7.7 8.7 8.2 9.0 7.4 7.0 --- --- --- --- --- 8.03 0.60
C 7.2 7.9 6.8 7.4 6.5 6.6 6.7 6.5 6.5 7.1 6.7 5.5 7.3 6.82 0.34

You are also given that \[\bar{x}=7.99\] .

  1. What is the test statistic?
  2. Use a 5% significance level (95% confidence level) to test the claim that the different collections have the same mean hardness.

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


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