An industrial engineer collected data on the labor time required to produce an order of automobile mufflers using a heavy stamping machine. The data on times (hours) for n = 52 orders of different parts 2.15, 2.27, 0.99, 0.63, 2.45, 1.30, 2.63, 2.20, 0.99, 1.00, 1.05, 3.44, 0.49, 0.93, 2.52, 1.05, 1.39, 1.22, 3.17, 0.85, 1.18, 2.27, 1.52, 0.48, 1.33, 4.20, 1.37, 2.70, 0.63, 1.13, 3.81, 0.20, 1.08, 2.92, 2.87, 2.62, 1.03, 2.76, 0.97, 0.78, 4.68, 5.20, 1.90, 0.55, 1.00, 2.95, 0.45, 0.70, 2.43, 3.65, 4.55, 0.33, has 2424 39331 25 151 i=1 i=1 Assume that the population is normal. (a) What can one assert with 95% confidence about the maximum error if ē is used as a point estimate of the true population mean labor time required to run the heavy stamping machine? Construct a 95% confidence interval for the true population mean labor time. (b) Conduct a test of hypotheses with the intent of showing that the mean labor time is more than 1.5 hours at a = 0.05 significant level. What error could you have made? Explain in the context of the problem.
An industrial engineer collected data on the labor time required to produce an order of automobile mufflers using a heavy stamping machine. The data on times (hours) for n = 52 orders of different parts 2.15, 2.27, 0.99, 0.63, 2.45, 1.30, 2.63, 2.20, 0.99, 1.00, 1.05, 3.44, 0.49, 0.93, 2.52, 1.05, 1.39, 1.22, 3.17, 0.85, 1.18, 2.27, 1.52, 0.48, 1.33, 4.20, 1.37, 2.70, 0.63, 1.13, 3.81, 0.20, 1.08, 2.92, 2.87, 2.62, 1.03, 2.76, 0.97, 0.78, 4.68, 5.20, 1.90, 0.55, 1.00, 2.95, 0.45, 0.70, 2.43, 3.65, 4.55, 0.33, has 2424 39331 25 151 i=1 i=1 Assume that the population is normal. (a) What can one assert with 95% confidence about the maximum error if ē is used as a point estimate of the true population mean labor time required to run the heavy stamping machine? Construct a 95% confidence interval for the true population mean labor time. (b) Conduct a test of hypotheses with the intent of showing that the mean labor time is more than 1.5 hours at a = 0.05 significant level. What error could you have made? Explain in the context of the problem.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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