Refer to Example 5 5 and find the standard deviations of the sampling distributions of x and m Which statistic would appear to be a better estimator of Example 5 5 Refer to Example 5 2 and the outcome x of a $5 wager in craps We found the sampling distributions of the sample mean x and the sample m...

The variance of the sampling distribution of x we denote it by the symbol o is found to be o Ex E ...

Refer to Example 5.5 and find the standard deviations of the sampling distributions of x and m.

Question:

Refer to Example 5.5 and find the standard deviations of the sampling distributions of x̄ and m. Which statistic would appear to be a better estimator of μ?

Example 5.5

Refer to Example 5.2 and the outcome x of a $5 wager in craps. We found the sampling distributions of the sample mean x and the sample median m for random samples of n = 3 dice rolls from a population defined by the following probability distribution: X p(x) -5 -10 0 619 5 2la 9

The sampling distributions of x̄ and m were found to be as follows: x P(x) -5 729 m -3.33 -1.67 18 114 729 729 p(m) -5 25 729 0 288 729 0 612 729 1.67 228 729 er 92 729 3.33