The 68-95 Rule for Probability: I

Belinda plans to take a simple random sample of size 64 from a population, and to take the mean x-bar of heights of the people in the sample. Unknown to Belinda, the SD of the population happens to be 16 inches, so the SD of x-bar is

16/sqrt(64)

## [1] 2

Match each chance with its approximate value.

Group of answer choices see attached list of possible answers for each

1. The chance that x-bar will be 2 or more inches below the mean of the population.

2. The chance that x-bar will be within 4 inches of the mean of the population.

3. The chance that x-bar will be more than 6 inches above the mean of the population.

4. The chance that x-bar will be within 6 inches of the mean of the population.

5. The chance that x-bar will be within 4 inches of the mean of the sample.

[ Choose ]
0.15%
16%
100%. (After all, x-bar IS the mean of the sample!)
95%
99.7%

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