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A manufacturing process drills holes in sheet metal that are supposed to be .5000 cm in diameter. Before and after a new drill press is installed, the hole diameter is carefully measured (in cm) for 12 randomly chosen parts. At α = .05, do these independent random samples prove that the new process has smaller variance? Show the hypotheses, decision rule, and test statistic.
New drill: 0.5005 0.5010 0.5024 0.4988 0.49970.4995 0.4976 0.5042 0.5014 0.49950.4988 0.4992
Old drill: 0.5052 0.5053 0.4947 0.4907 0.50310.4923 0.5040 0.5035 0.5061 0.49560.5035 0.4962
Identify the null and alternative hypothesis, test statistic, P-value,critical values and state the final conclusion that addreses the original claim:
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The quality control department of Widgets Manufacturing needs your help. They can't decide which significance level is appropriate for testing the claim that fewer than 50% of widgets from a production run are defective.
What value is standard deviation for this data? What type of probability is this?
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