Question

To find the 95% confidence interval for the population standard deviation, you randomly sample with replacement from the original sample, thousands of times. From each new sample, you compute the sample standard deviation. Using the bootstrap method, how can you find the confidence interval for the population standard deviation from these values?.

Answer 1

By using 2.5th and 97.5th percentile of these values.

Bootstrapping:

Bootstrapping, a test or measure that uses random sampling with replacement to simulate the sampling process, falls within the more general area of resampling techniques. For example, bias, variance, confidence intervals, prediction error, etc. are used to rate the accuracy of sample estimates when using bootstrapping.

                                                          A random sample with replacement from the original sample must be taken thousands of times in order to determine the 95% confidence interval for the population standard deviation. You calculate the sample standard deviation from each fresh sample.

From the values of the 2.5th and the 97.5th percentile of these data, we can use the bootstrap method to determine the 95% confidence interval for the population standard deviation.

So we need to use 2.5th and the 97.5th percentile of these values.

To learn more about Bootstrapping visit:brainly.com/question/13014288

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