Question: In a study conducted by the Department of Mechanical Engineering and analyzed by the Statistics Consulting Center at the Virginia Polytechnic Institute and State University,

In a study conducted by the Department of Mechanical Engineering and analyzed by the Statistics Consulting Center at the Virginia Polytechnic Institute and State University, the steel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company and the "bounciness" was studied. The data are as follows:
Company A: 9.3 8.8 6.8
Company B: 11.0 9.8 9.9 10.2 8.7 8.5 6.7 8.0 6.5 9.2 7.0 10.1 9.7 11.0 11.1 10.2 9.6
Can you conclude that there is virtually no difference in means between the steel rods supplied by the two companies? Use a P-value to reach your conclusion. Should variances be pooled here?

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