The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of

Question

3 years ago

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The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of

all freshmen. Comment on whether the explanation is correct. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.

Mathematics

1 answer:

katen-ka-za [31] · Answer 1 · 2022-01-25T10:41:37+03:00

Answer: The explanation is correct.

Step-by-step explanation:

The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."

Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.

Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in (107.8, 116.2).

i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.

Hence, the explanation is absolutely "correct" .