4
QuizMultiple Choice
Sampling Distributions – Center and Variability
Question 4 of 10 • NC-Math 4
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The standard deviation of the distribution of ages is 1.17. The table displays all possible samples of size 2 and the corresponding ranges for each sample.Using the values in the table, is the sample standard deviation an unbiased estimator?
Answer
A
Yes, 50% of the standard deviations are above 1.17, and 50% are below 1.17.B
Yes, the mean of the sample standard deviations is 1.13, which is only 0.04 less than the population value, 1.17.C
No, the mean of the sample standard deviations is 1.13, which is not the same as 1.17.D
No, the standard deviation of the sample standard deviations is 0.68, which is not the same as 1.17.