Question

# 1. Use StatKey or Minitab Express to construct the following distributions. Remember to include all relevant...

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.

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.

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