HW6_skeleton

7.2

• 1. Standard normal deviation
• 2. alpha
• 3. .3085.
• 4. .4207
• 1. .0071

  2. .3336

  3. .9115

  4. .9998.

• 1. .9987.

  2. .9441

  3. .0375

  4. .0019

• 15. z=.67
• 17. Z1=-2.576 Z2=2.576
• 18. Z1=-1.88 Z2=1.88
• 23. .9839

shadenorm(mu=50, sig=7, above = 35,col = "blue",dens = 150)

• 24. .0161

shadenorm(mu=50, sig=7, above = 65,col = "blue",dens = 150)

• 25. .2375

shadenorm(mu=50, sig=7, below = 45,col = "blue",dens = 150)

• 1. .8657

  2. .0132

  3. .7004

  4. .1228

  5. 96th percentile

  6. 4th percentile

8.1

• 1. sample mean
• 2. Mu, standard deviation/ square root of N.
• 3. Standard error of the mean
• 4. false.
• 5. false
• 6. false

• 7.Sampling distribution of X bar is normally distributed with the Mu of x bar being 30 and the standard deviation of x bar being 8/square root of 10= 2.53(Need the shape, center and spread)

• 8. Due to the Central Limit Theorem, we already know that the distribution of the sample mean is distributed normally since the n is greater than or equal to 30. mu of x bar is 50 and the standard deviation of x bar is 4/square root of 50 =.5657
• 9. mu of x bar is 80 and standard deviation of x bar is 2.
• 10. mu of x bar is 80 and standard deviation of x bar is 2
• 1. X bar is normal

  2. .0668

  3. .0179

  4. .7070

• 1. .3538.

  2. Sampling distribution of X bar is normal with a mu of x bar being 266 days and standard deviation of x bar being 16/square root 20= 3.58 days

  3. .0468

  4. .004.

  5. We conclude from this that this probability is very small and that the mean is most likely more than 260 days

  6. .9845