In the past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: Ho: μ = 8.6 hours H₂:μ> 8.6 hours where μ is the mean running time of the new batteries Explain the meaning of a Type II error. O A. A Type Il error would occur if, in fact, μ = 8.6 hours, but the results of the sampling do not lead to rejection of that fact. OB. A Type Il error would occur if, in fact, µ> 8.6 hours, but the results of the sampling lead to the conclusion that μ< 8.6 hours. OC. A Type Il error would occur if, in fact, μ = 8.6 hours, but the results of the sampling lead to the conclusion that μ> 8.6 hours. O D. A Type Il error would occur if, in fact, μ> 8.6 hours, but the results of the sampling fail to lead to that 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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In the past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The
manufacturer has introduced a change in the production method and wants to perform a hypothesis test to
determine whether the mean running time has increased as a result. The hypotheses are:
Ho: μ = 8.6 hours
Ha:μ > 8.6 hours
where μ is the mean running time of the new batteries
Explain the meaning of a Type II error.
O A. A Type II error would occur if, in fact, μ = 8.6 hours, but the results of the sampling do not lead to
rejection of that fact.
OB. A Type Il error would occur if, in fact, μ> 8.6 hours, but the results of the sampling lead to the
conclusion that μ< 8.6 hours.
O C. A Type II error would occur if, in fact, μ = 8.6 hours, but the results of the sampling lead to the
conclusion that μ> 8.6 hours.
O D. A Type Il error would occur if, in fact, µ> 8.6 hours, but the results of the sampling fail to lead to that
conclusion.
Transcribed Image Text:In the past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: Ho: μ = 8.6 hours Ha:μ > 8.6 hours where μ is the mean running time of the new batteries Explain the meaning of a Type II error. O A. A Type II error would occur if, in fact, μ = 8.6 hours, but the results of the sampling do not lead to rejection of that fact. OB. A Type Il error would occur if, in fact, μ> 8.6 hours, but the results of the sampling lead to the conclusion that μ< 8.6 hours. O C. A Type II error would occur if, in fact, μ = 8.6 hours, but the results of the sampling lead to the conclusion that μ> 8.6 hours. O D. A Type Il error would occur if, in fact, µ> 8.6 hours, but the results of the sampling fail to lead to that conclusion.
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