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In: Statistics and Probability

ABC Metal Parts Company uses large quantities of aluminum in their products. They test the strength...

  1. ABC Metal Parts Company uses large quantities of aluminum in their products. They test the strength of the material from their suppliers to determine which is the strongest by measuring the psi. Consider the following samples:

Supplier A

Supplier B

Sample size

13

16

Sample mean

2,345

2,411

Sample standard deviation

300

250

  1. (5) Is the variability in the materials strength of supplier B significantly less than a standard deviation of 300 psi? Use alpha = 0.05.
  2. (1) What assumption is necessary to carry out part (a)?
  3. (5) Test to determine if the average materials strength of Supplier A is less than that of Supplier B. The population variances are assumed to be equal. Use alpha = 0.05.
  4. (2) Would it be correct to use a confidence interval to infer the result of the test of the average strengths in part (c)? Explain fully.

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