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A metallurgist makes several measurements of the melting
Chapter 5, Problem 15SE(choose chapter or problem)
A metallurgist makes several measurements of the melting temperature of a certain alloy and computes a 95% confidence interval to be 2038\(\pm\)2°C. Assume the measuring process for temperature is unbiased. True or false:
There is 95% probability that the true melting temperature is in the interval 2038 \(\pm\) 2°C. If the experiment were repeated, the probability is 95% that the mean measurement from that experiment would be in the interval 2038 \(\pm\) 2°C. If the experiment were repeated, and a 95% confidence interval computed, there is 95% probability that the confidence interval would cover the true melting point. If one more measurement were made, the probability is 95% that it would be in the interval 2038 \(\pm\) 2°C.
Equation transcription:
Text transcription:
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Questions & Answers
QUESTION:
A metallurgist makes several measurements of the melting temperature of a certain alloy and computes a 95% confidence interval to be 2038\(\pm\)2°C. Assume the measuring process for temperature is unbiased. True or false:
There is 95% probability that the true melting temperature is in the interval 2038 \(\pm\) 2°C. If the experiment were repeated, the probability is 95% that the mean measurement from that experiment would be in the interval 2038 \(\pm\) 2°C. If the experiment were repeated, and a 95% confidence interval computed, there is 95% probability that the confidence interval would cover the true melting point. If one more measurement were made, the probability is 95% that it would be in the interval 2038 \(\pm\) 2°C.
Equation transcription:
Text transcription:
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ANSWER:Answer:
Step 1 of 4:
(a)
In this question, we are asked to state the True or false for the given statements.
A 95% confidence interval of the melting temperature is 2038±2°C.
Assume the measuring process for temperature is unbiased.
Statement: there is 95 probability that the true melting temperature is in the interval 2038±2°
.
The statement is false. Because a specific confidence interval is given. We are 95 confident that the population mean is either in the interval or it isn’t. The term probability is not applicable here.