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A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?

A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)

Answer :

Answer:

the answer is D

Step-by-step explanation:

i got it right and so would you ;)

The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.

How to calculate confidence interval for population mean ?

If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits;

[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]

The confidence interval for the mean of the population is (40.5, 41.5).

Hence,option D is correct.

Learn more about confidence interval refer;

https://brainly.com/question/23008823

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