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A production line operates with a mean filling weight of 16 ounces per container. Overfill- ing or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation o = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readiustment. The level of significance is a 05.

A production line operates with a mean filling weight of 16 ounces per container. Overfill- ing or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation o = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readiustment. The level of significance is a 05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Question
OEVALUATE Work on the following problems and submit your work in our Google Classroom under Classwork Quiz Assignment M6.2 Problem 1 A production line operates with a mean filling weight of 16 ounces per container. Overfill- ing or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation o = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of ăš = 16.32 ounces were found, what is the p-value? What action would you recommend? If a sample mean of ī = 15.82 ounces were found, what is the p-value? What action would you recommend? Use the critical value approach. What is the rejection rule for the preceding hypothe- sis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion? c. d.
Transcribed Image Text:OEVALUATE Work on the following problems and submit your work in our Google Classroom under Classwork Quiz Assignment M6.2 Problem 1 A production line operates with a mean filling weight of 16 ounces per container. Overfill- ing or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation o = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of ăš = 16.32 ounces were found, what is the p-value? What action would you recommend? If a sample mean of ī = 15.82 ounces were found, what is the p-value? What action would you recommend? Use the critical value approach. What is the rejection rule for the preceding hypothe- sis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion? c. d.
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