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Author Question: In general, unbiased estimators are preferred for inference because: (Read 58 times)

Emmejo01

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Question 1

In a study of typical student grade-point averages (GPAs), we sample 16 students and find an average GPA of 2.76, with a standard deviation of 0.48. Assuming the GPAs are normally distributed, what is an interval that we can be 80% certain contains the mean student GPA?

(2.12, 3.40)


(2.61, 2.91)


(2.60, 2.92)


(2.66, 2.86)



Question 2

In general, unbiased estimators are preferred for inference because:

bias in inference is always bad and should be avoided at all costs, so using unbiased estimators is the only way to conduct objective inference.


unbiased estimators always have the least amount of variance of all possible estimators.


a biased estimator will almost always give very little insight into the parameter being estimated and, therefore, serves as a poor guess of the parameter’s true value.


in many cases the most probable value of an unbiased estimator is the value of the parameter being estimated; thus, unbiased estimators typically converge on values near the parameter.



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Marked as best answer by Emmejo01 on Feb 26, 2023

feiojef

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Emmejo01

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Reply 2 on: Feb 26, 2023
YES! Correct, THANKS for helping me on my review


elyse44

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Reply 3 on: Yesterday
Gracias!

 

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