Author Question: In general, unbiased estimators are preferred for inference because: (Read 56 times)

Emmejo01 · **on:** Feb 26, 2023

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.

feiojef · **Reply #1 on:** Feb 26, 2023

A FREE account is required to view all solutions!

Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.

Answer Preview

Only 56% of students answer this correctly