Back for more O-rings! After a catastrophic failure of your injection mold die, the production team...

Back for more O-rings! After a catastrophic failure of your injection mold die, the production team has rebuilt the equipment and production is running smoothly again. However, management wants to be sure the quality after the repairs is the same as before. Taking it on faith that σ = 0.030 grams before the failure, you conduct a quick experiment on a batch produced after the failure, and you measure s = 0.036 grams from a random sample of 25 O-rings.
a) Based on this experiment, can you conclude the injection mold process is exhibiting the same variance before and after the repair? Show all of your work
b) The management brings in another production batch, produced before the failure, and wants you to compare the variances of this batch with the batch from part (a). You collect 30 random O-rings from this batch and measure the sample standard deviation, s. Assuming a 2-sided alternative, what is the lowest value of s you could measure and still be able to conclude the two batches have identical variances? Show all of your work.

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orchestra answered 1 year ago

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