Asked by Maureen Doyle-Barakat on May 10, 2024
Verified
In developing an interval estimate for a population mean,the population standard deviation σ was assumed to be 8.The interval estimate was 50.0 ± 2.50.Had σ equaled 16,the interval estimate would be 100 ± 5.0.
Population Standard Deviation
A measure of the dispersion or spread of all the data points in a population dataset.
Interval Estimate
A range of values derived from sample data that is likely to contain the value of an unknown population parameter.
- Gain an understanding of the process involved in forming a confidence interval and what contributes to its width variation.
- Examine how the size of a sample influences the accuracy of estimated parameters.
Verified Answer
CT
Cassandra TerryMay 12, 2024
Final Answer :
False
Explanation :
The interval estimate depends on the population standard deviation, but doubling the standard deviation does not directly double the interval estimate's center (mean) and margin of error in the way described. The margin of error would increase, but the center of the interval (mean estimate) would remain the same.
Learning Objectives
- Gain an understanding of the process involved in forming a confidence interval and what contributes to its width variation.
- Examine how the size of a sample influences the accuracy of estimated parameters.