A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 13 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 99 bolts. The sample mean bolt length was 13.08 centimeters. The population standard deviation is known to be o = 0.27 centimeters. What is the test statistic z? What is the p-value? Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of a = 0.1?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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A factory that manufactures bolts is performing a quality control experiment.
Each object should have a length of no more than 13 centimeters. The factory
believes that the length of the bolts exceeds this value and measures the length
of 99 bolts. The sample mean bolt length was 13.08 centimeters. The
population standard deviation is known to be o = 0.27 centimeters.
What is the test statistic z?
What is the p-value?
Does sufficient evidence exist that the length of bolts is actually greater than
the mean value at a significance level of a = 0.1?
Transcribed Image Text:A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 13 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 99 bolts. The sample mean bolt length was 13.08 centimeters. The population standard deviation is known to be o = 0.27 centimeters. What is the test statistic z? What is the p-value? Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of a = 0.1?
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