Does the estimator range have a approximately normal distribution?
a. yes
b. no
Answer: b. no
To determine if the estimator range has an approximately normal distribution, we need to understand the concept of estimator range and the conditions required for a normal distribution.
The estimator range is a statistical measure that calculates the difference between the maximum and minimum values in a data set. It is a measure of the spread or variability of the data points.
In general, the estimator range does not follow a normal distribution. The range can vary widely depending on the nature of the data and can be influenced by outliers or extreme values.
To confirm this answer, you can conduct a visual inspection of the data or use statistical techniques to test the normality assumption, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test. These tests can provide evidence regarding the deviation from a normal distribution.
So, the correct answer is b. no, the estimator range does not have an approximately normal distribution.