Question

1. Use StatKey or Minitab Express to construct the following distributions. Remember to include all relevant output (i.e., a screenshot of your distribution in StatKey or Minitab Express) AND a clear statement of your final answer for each question. [20 points] A. Construct a z distribution to find the area above z = 0.5 B. Construct a z distribution to find the area below z = - 0.5 C. Construct a normal distribution with a mean of 100 and standard deviation of 10 to find the area above x = 105 D. Explain why your answers to A, B, and C are all the same.

Answer 1

MINITAB used.

1. Use StatKey or Minitab Express to construct the following distributions. Remember to include all relevant output (i.e., a screenshot of your distribution in StatKey or Minitab Express) AND a clear statement of your final answer for each question. [20 points]

A. Construct a z distribution to find the area above z = 0.5

B. Construct a z distribution to find the area below z = - 0.5

C. Construct a normal distribution with a mean of 100 and standard deviation of 10 to find the area above x = 105

D. Explain why your answers to A, B, and C are all the same.

The standard normal distribution is symmetric about 0. For the part c, z value for 105 is z=(105-100)/10 = 0.5. there fore area above 105 is same as area above 0.5 in standard normal distribution.