shmen. Is the following explanation correct, based on that information? There is a 95% probability that the interval from 107.8 to 116.2 contains. Correct. That is the meaning of 95% confidence. Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ. O Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2. Incorrect. If we take many samples, about 95% of them will contain the interval (107.8, 116.2) › Incorrect. The point estimate x will always be in the center of the confidence interval, so there is a 100% chance will be in the interval.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The admissions director for a university found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all
freshmen.
Is the following explanation correct, based on that information?
There is a 95% probability that the interval from 107.8 to 116.2 contains.
Correct. That is the meaning of 95% confidence.
Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ.
Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2.
Incorrect. If we take many samples, about 95% of them will contain the interval (107.8, 116.2)
Incorrect. The point estimate x will always be in the center of the confidence interval, so there is a 100% chance that x
will be in the interval.
Transcribed Image Text:The admissions director for a university found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Is the following explanation correct, based on that information? There is a 95% probability that the interval from 107.8 to 116.2 contains. Correct. That is the meaning of 95% confidence. Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ. Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2. Incorrect. If we take many samples, about 95% of them will contain the interval (107.8, 116.2) Incorrect. The point estimate x will always be in the center of the confidence interval, so there is a 100% chance that x will be in the interval.
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95% CI for population mean μ (107.8,116.2)

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