What effect does increasing the sample size from 800 to 1300 have on the bias and variance of an estimator used to estimate the mean weight of all carry-on bags for a certain airline?
Answered on : 2024-01-23
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Increasing the sample size from 800 to 1300 will decrease the bias and variance of the estimator.
A larger sample size generally leads to a more accurate estimation of the population mean with less variability in the estimates. This results in a decrease in both bias (the difference between the expected value of the estimator and the true population parameter) and variance (the spread of the estimator's values around its mean). Therefore, the correct response is: "The bias will decrease and the variance will decrease" [1].
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