Length measurements were made on some test pieces from a manufacturing process f

Question

Length measurements were made on some test pieces from a manufacturing process from two batches, B_1 and B_2. We assume the underlying process is normally distributed. Use a 5% level of significance for all testing. Can we assume the variances are equal between the batches? Use hypothesis testing to answer the question. Are the batches producing parts of the same length? Use hypothesis testing to answer the question. Use these two hypothesis tests to briefly discuss the quality of the manufacturing process. As an industrial engineer, is there anything you would want to investigate further or "fix"?

Explanation / Answer

since p-value = 0.45 > 0.05

we fail to reject the null and conclude that

we can assume the variance are equal between the batches

2)

since p-value = 1.52713E-11 < 0.05

we reject the null and conclude that batches are producing parts of different length

F-Test Two-Sample for Variances B1 B2 Mean 0.240666667 0.1885 Variance 7.86667E-06 7.1E-06 Observations 6 6 df 5 5 F 1.107981221 P(F<=f) one-tail 0.456575941 F Critical one-tail 5.050329058

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