The 95% confidence interval for the population variance was found to be 9.25 to 34.13. However, we are to find a confidence interval for the population standard deviation. Recall that the standard deviation is the positive square root of the variance. Therefore, the confidence interval for the standard deviation can be fou by taking the positive square root of the lower and upper bounds for the variance. Substitute these values to find the lower bound for the confidence interval of the population standard deviation, rounding the result to one decimal place. lower bound of o = V lower bound of o2 Now find the upper bound for the confidence interval of the population standard deviation, rounding the resu to one decimal place. upper bound of o = V upper bound of at

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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(c) Compute the 95% confidence interval estimate of the population standard deviation.
The 95% confidence interval for the population variance was found to be 9.25 to 34.13. However, we are to
find a confidence interval for the population standard deviation. Recall that the standard deviation is the
positive square root of the variance. Therefore, the confidence interval for the standard deviation can be found
by taking the positive square root of the lower and upper bounds for the variance.
Substitute these values to find the lower bound for the confidence interval of the population standard
deviation, rounding the result to one decimal place.
lower bound of o = V lower bound of a²
Now find the upper bound for the confidence interval of the population standard deviation, rounding the result
to one decimal place.
upper bound of a =
upper bound of a?
Therefore, a 95% confidence interval for the population standard deviation is from a lower bound of
to an upper bound of
Transcribed Image Text:(c) Compute the 95% confidence interval estimate of the population standard deviation. The 95% confidence interval for the population variance was found to be 9.25 to 34.13. However, we are to find a confidence interval for the population standard deviation. Recall that the standard deviation is the positive square root of the variance. Therefore, the confidence interval for the standard deviation can be found by taking the positive square root of the lower and upper bounds for the variance. Substitute these values to find the lower bound for the confidence interval of the population standard deviation, rounding the result to one decimal place. lower bound of o = V lower bound of a² Now find the upper bound for the confidence interval of the population standard deviation, rounding the result to one decimal place. upper bound of a = upper bound of a? Therefore, a 95% confidence interval for the population standard deviation is from a lower bound of to an upper bound of
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