The confidence interval below for the population variance is based on the following sample statistics: n = 25, x-bar = 31.1, and s = 4.2.
9.29 < standard deviation squared < 42.82
What is the degree of confidence?
99% is the degree of confidence.
To check:
Use 2.58 to represent 99%. Find the formula for the confidence interval using standard deviation. Remember that standard deviation is the square root of the variance. Substitute what you know into the formula from the information given to check.
I know the formula. How do you work backwards?
To determine the degree of confidence in a confidence interval, we need to examine the critical values associated with the interval. However, the given information only includes the confidence interval itself, which is in the form of an inequality. Therefore, we cannot directly determine the degree of confidence from the provided data.
To find the degree of confidence, we need either the critical values or additional information about the sample or estimation process. Can you provide any more information or context regarding the confidence interval?