A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and, when detected, requires the operator to shut down the production line in order to readjust the filling mechanism. From past data, a population standard deviation is assumed as 0.8 ounces. A quality control inspector selects a sample of 30 items every hour and, at that time, decides whether or not to shut down the line for readjustment. The level of significance is 0.05. 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? c. What action would you recommend? d. If a sample mean of 15.82 ounces were found, what is the p-value? e. What action would you recommend? f. Use the critical value approach. What is the rejection rule for the preceding hypothesis 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. Overfilling or underfilling presents a serious problem and, when detected, requires the operator to shut down the production line in order to readjust the filling mechanism. From past data, a population standard deviation is assumed as 0.8 ounces. A quality control inspector selects a sample of 30 items every hour and, at that time, decides whether or not to shut down the line for readjustment. The level of significance is 0.05. 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? c. What action would you recommend? d. If a sample mean of 15.82 ounces were found, what is the p-value? e. What action would you recommend? f. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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part C D E
Transcribed Image Text:2. A production line operates with a mean filling weight of 16 ounces per
container. Overfilling or underfilling presents a serious problem and, when
detected, requires the operator to shut down the production line in order to
readjust the filling mechanism. From past data, a population standard
deviation is assumed as 0.8 ounces. A quality control inspector selects a
sample of 30 items every hour and, at that time, decides whether or not to
shut down the line for readjustment. The level of significance is 0.05.
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?
c. What action would you recommend?
d. If a sample mean of 15.82 ounces were found, what is the p-value?
e. What action would you recommend?
f.
Use the critical value approach. What is the rejection rule for the
preceding hypothesis testing procedure? Repeat parts (b) and (c).
Do you reach the same conclusion?
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