HW6_skeleton

7.2

• 1. Standard normal distribution
• 2. a
• 3. .3085
• 4. .4207
• 1. .0071

  2. .3336

  3. .9115

  4. .9998

• 1. .9987

  2. .9441

  3. .0375

  4. .0009

• 15. .67
• 17. Z1=2.576, Z2= -2.576
• 18. z1= -1.88, z2=1.88
• 23. .9838

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

• 24. .0162

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

• 25. .2389

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

• 1. .8658

  2. .0132

  3. .7019

  4. .1230

  5. 96th percentile

  6. 4th percentile

8.1

• 1. sampling distribution
• 2. μ
• 3. standard error of the mean
• 4. True
• 5. False
• 6. False
• 7. μ sub x̄=30, σ sub x-bar=2.53
• 9. μ sub x̄=80 , σ sub x-bar=2
• 10. 64, 3
• 1. Normal, 80, 2

  2. p(x-bar>83)= .0668. If there are 100 simple random samples of n=49 with mu=80 and sigma=14 then 7 of the samples have a mean above 83

  3. p(x-bar>75.8)=.0179. If there are 100 simple random samples of n=49 with mu=80 and sigma=14 then 2 of the samples have a mean less than or equal to 75.8.

  4. p(78.3<x-bar<85.1)=.7969. If there are 100 simple random samples of n=49 with mu=80 and sigma=14 then 80 of the samples have a mean between 78.3 and 85.1.
• 1. .3520

  2. Normal dist, mu sub x-bar=266, sigma sub x-bar=3.57

  3. .0465

  4. 4% chance

  5. sample came from a population with a mean gestation period of less than 266 days

  6. .9844