Which of the following statistics are unbiased estimators of population parameters? Choose the correct answer below. Select all that apply. A. Sample standard deviation used to estimate a population standard deviation. B. Sample mean used to estimate a population mean. C. Sample variance used to estimate a population variance. D. Sample range used to estimate a population range. E. Sample median used to estimate a population median. F. Sample proportion used to estimate a population proportion.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![**Understanding Unbiased Estimators of Population Parameters**
This educational section provides a multiple-choice question focused on identifying unbiased estimators of population parameters.
**Question:**
Which of the following statistics are unbiased estimators of population parameters?
Choose the correct answer below. Select all that apply.
- [ ] A. Sample standard deviation used to estimate a population standard deviation.
- [ ] B. Sample mean used to estimate a population mean.
- [ ] C. Sample variance used to estimate a population variance.
- [ ] D. Sample range used to estimate a population range.
- [ ] E. Sample median used to estimate a population median.
- [ ] F. Sample proportion used to estimate a population proportion.
**Instructions:**
Click to select your answer(s).
Note: The question explores key concepts in statistics related to unbiased estimation. Unbiased estimators are statistical tools expected to accurately estimate population parameters based on sample data without systematic error.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b154e39-9ebd-4de1-8fea-c901817b1837%2F64f1c177-2488-470f-8302-38243f7d5371%2Fk93fks_processed.jpeg&w=3840&q=75)
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