Answer true or false to the following statement concerning a confidence interval for a population mean. Give reasons for your answer. The confidence level can be determined if you know only the margin of error, population standard deviation, and sample size. Choose the correct answer below. A. False, because you also need to know the critical value corresponding to the confidence level to determine the confidence level. B. False, because you also need to know the population mean to determine the confidence level. C. True, since the confidence level is only dependent on the margin of error, population standard deviation, and sample size. D. False, because you also need to know the sample mean to determine the confidence level.

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Mathematics

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13 January, 06:11

Answer true or false to the following statement concerning a confidence interval for a population mean. Give reasons for your answer. The confidence level can be determined if you know only the margin of error, population standard deviation, and sample size. Choose the correct answer below. A. False, because you also need to know the critical value corresponding to the confidence level to determine the confidence level. B. False, because you also need to know the population mean to determine the confidence level. C. True, since the confidence level is only dependent on the margin of error, population standard deviation, and sample size. D. False, because you also need to know the sample mean to determine the confidence level.

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Answers (1)

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Janet Ramsey · Answer 1

True

Step-by-step explanation:

True, since the confidence level is only dependent on the margin of error, population standard deviation and sample size.

Margin of error = E = t/α/2 * (s / √n), which is based on t/α/2 and standard deviation aswell as sample size.

also, confidence interval interval for a is

(ₓ⁻-tα/2 α/√n, ₓ⁻+tα/2 α/√n) base on sample mean, confidence interval, standard deviation and sample size