Question

Question Set 1: Finding Probabilities on a Normal Distribution

A. Use Minitab Express to construct a standard normal distribution to find the proportion of the curve above z = 2. Copy+paste your distribution here and clearly identify your final answer. [8 points]

B. Use Minitab Express to construct a normal distribution with a mean of 500 and standard deviation of 100 and find the area above x = 700. Copy+paste your distribution here and clearly identify your final answer. [8 points]

C. Explain why your answers to A and B are the same. [6 points]

Answer 1

Answer:

Given Data

a) Use Minitab Express to construct a standard normal distribution to find the proportion of the curve above z = 2.

  

= 1 - 0.97725

= 0.02275

b)  Use Minitab Express to construct a normal distribution with a mean of 500 and standard deviation of 100 and find the area above x = 700.

= 0.02275

c)  Explain why your answers to A and B are the same.

In part A , Z follows standard normal distribution.

In part B , Z follows normal distribution with mean and standard deviation .

So we convert it into standard normal format and then we find the value

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