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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 readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of £ = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of f = 15.82 ounces were found, what is the p-value? What action would you recommend? d. 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?

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 £ = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of f = 15.82 ounces were found, what is the p-value? What action would you recommend? d. 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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of & = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of = 15.82 ounces were found, what is the p-value? What action would you recommend? d. 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?
Transcribed Image Text: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 & = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of = 15.82 ounces were found, what is the p-value? What action would you recommend? d. 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?
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