# Question: A Generate a random sample of 100 data from a

a. Generate a random sample of 100 data from a normal distribution with mean 50 and standard deviation 12.

b. Using the random sample of 100 data found in part a and the technology commands for calculating ordinate values on page 284, find the 100 corresponding y values for the normal distribution curve with mean 50 and standard deviation 12.

c. Use the 100 ordered pairs found in part b to draw the curve for the normal distribution with mean 50 and standard deviation 12.

d. Using the technology commands for cumulative probability on page 285, find the probability that a randomly selected value from a normal distribution with mean 50 and standard deviation 12 will be between 55 and 65.Verify your results by using Table 3.

b. Using the random sample of 100 data found in part a and the technology commands for calculating ordinate values on page 284, find the 100 corresponding y values for the normal distribution curve with mean 50 and standard deviation 12.

c. Use the 100 ordered pairs found in part b to draw the curve for the normal distribution with mean 50 and standard deviation 12.

d. Using the technology commands for cumulative probability on page 285, find the probability that a randomly selected value from a normal distribution with mean 50 and standard deviation 12 will be between 55 and 65.Verify your results by using Table 3.

## Answer to relevant Questions

Find the area under the normal curve that lies to the left of the following z-values a. z = - 1.30. b. z = - 2.56. c. z = - 3.20. d. z = - 0.64. Using the z(a) notation (identify the value of a used within the parentheses), name each of the standard normal variable z’s shown in the following diagrams Using Table 4B, find the z-scores that bound the middle 0.80 of the normal distribution. Verify the z-scores using Table 4A. In which of the following binomial distributions does the normal distribution provide a reasonable approximation? Use computer commands to generate a graph of the distribution and compare the results to the “rule of ...Considering the population of five equally likely integers in Example 7. 2: a. Verify m and s for the population in Example 7. 2.Post your question