HW6_skeleton

7.2

• 1. Standard normal distribution.
• 2. ∝.
• 3. 0.3085.
• 4. 0.4207.
• 1. 0.0071.

  2. 0.3336.

  3. 0.9115.

  4. 0.9998.

• 1. 0.9987.

  2. 0.441.

  3. 0.0375.

  4. 0.0009.

• 15. 0.67.
• 17. -2.575, 2.575.
• 18. -2.750, 2.750.
• 23. 0.9838.

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

• 24. 0.0162.

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

• 25. 0.2389.

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

• 1. 0.8658.

  2. 0.0132.

  3. 0.7019.

  4. 0.1230.

  5. Bag with 1475 chocolate chips is at 96th percentile.

  6. Bag with 1050 chocolate chips is at 4th percentile.

8.1

• 1. Sampling distribution.
• 2. Mean, sigma/square root of n.
• 3. Standard error, mean.
• 4. True.
• 5. False.
• 6. False.
• 7. Sampling of distibution of x bar is normal when mean (mean of the sample mean) = 30 and sigma (standard deviation of the sample mean) = ~2.530, (y=N(30,8))
• 8. No because as the sample size gets bigger, the sampling distribution of x bar becomes normally distributed even if the population is not normally distributed. The sampling distribution of x bar is normal since the random variable is normal.
• 9. mean = 80, sigma = 2.
• 10. mean = 64, sigma = 3.
• 1. x bar is approx. normal with mean xbar = 80, simga xbar = 2

  2. 0.0668.

  3. 0.0179.

  4. 0.7969.

• 1. 0.3557.

  2. 3.578.

  3. 0.0465.

  4. 0.004.

  5. The result is strange, therefore the sample probably came from a mean with a gestation period of less than 266 days.

  6. 0.9844.