This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance.

When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean.

a. True

b. False

Which statement is the correct interpretation of the confidence interval in this illustration

a. The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%.

b. We are 95% confident that the true mean is between 76.08 and 83.92.

Question

Mathematics

Shaniya Kelley

21 December, 23:14

This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance.

When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean.

a. True

b. False

Which statement is the correct interpretation of the confidence interval in this illustration

a. The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%.

b. We are 95% confident that the true mean is between 76.08 and 83.92.

+3

Answers (1)

Know the Answer?

Marc Duncan · Answer 1

1 - b. False

2 b. We are 95% confident that the true mean is between 76.08 and 83.92.

Step-by-step explanation:

Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.