The Mean, Standard Deviation, and Sampling Distribution of the Sample Mean

The Sampling Distribution of the Sample Mean

1. a. \(\mu_{X}=128, \sigma_{\bar{X}}=3.67\)

b. \(0.9936\)

3. a. \(\mu_{\bar{X}}=73.5, \sigma_{\bar{X}}=0.456\)

b. \(0.0005\)

5. a. \(0.0918\)
b. \(\mu_{\bar{X}}=25.6, \sigma_{\bar{X}}=1.1\)

c. \(0.0000\)

7. a. \(\mu_{X}=557, \sigma_{X}=4.9497\)

b. \(0.0043\)

9. a. \(0.5818\)
b. \(\mu_{\bar{X}}=1214, \sigma_{\bar{X}}=24.4\)

c. \(0.9998\)

11. a. \(\mu_{\bar{X}}=72, \sigma_{\bar{X}}=0.8944\)

b. \(0.0250\)

13. \(0.9940\)

15. \(0.9994\)

17. a. \(0.8036\)

b. \(1.0000\)

19. \(0.9994\)

21. a. \(0.2955\)
b. \(0.8977\)

23. \(0.9251\)

25. \(0.9982\)