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A company that does manufacturing work has one facility that is automated and one that has manual functions. In order to estimate the difference

 

A company that does manufacturing work has one facility that is automated and one that has manual functions. In order to estimate the difference in mean time it takes to complete a part on the two lines, the company has requested that a random sample of 16 parts at each facility be tracked from start to finish and the time required be recorded The sample data to the right were recorded. Assuming that the populations are normally distributed with equal population variances, construct and interpret an 80% confidence interval estimate. The 80% confidence interval for the difference between the two population means for the length of time it takes to make a part from start to finish iss (-H) = (Round to two decimal places as needed.) What is the interpretation of this interval? Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to two decimal places as needed. Use ascending order.) OA. The interval means that the difference between the sample means will be between and hours for % of the samples. OB. The interval means that, with % confidence, the automated facility produces parts, on average, between and OC. The interval means that there is a(n) probability that the difference between the population means is between hours faster than the manual facility. and hours. Automated X = 56.7 hours S = 4.1 hours Manual x = 67.5 hours $2= 3.5 hours

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