Asked by Thaina Guerhart on Sep 29, 2024
Verified
Which of the following statements is correct?
A) The sample mean is an unbiased estimator of the population mean.
B) The sample proportion is an unbiased estimator of the population proportion.
C) The difference between two sample means is an unbiased estimator of the difference between two population means.
D) All of these choices are true.
Sample Mean
The arithmetic average of a set of sample values, used as an estimate of the population mean.
Population Mean
The average value of a characteristic in the entire population of interest.
Unbiased Estimator
A statistic used to estimate a population parameter that is expected to be equal to the true parameter value on average.
- Understand the definition and significance of unbiased estimators.
Verified Answer
AW
Alexis Wyattabout 5 hours ago
Final Answer :
D
Explanation :
All three statements are true. The sample mean is an unbiased estimator of the population mean because it is calculated from a sample without any systematic deviation. The sample proportion is an unbiased estimator of the population proportion because it estimates the proportion of success or failure without any systematic deviation. The difference between two sample means is an unbiased estimator of the difference between two population means because the difference in means is calculated from two independent samples that were taken randomly without any systematic deviation.
Learning Objectives
- Understand the definition and significance of unbiased estimators.
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