Question
Asked Oct 31, 2019
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Use the standard normal distribution (aka z distribution where mu = 0 and sigma = 1) to determine the values of Z that will give you the middle 95% of the data.

Note that each answer above requires TWO values of Z. 

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Expert Answer

Step 1

The middle 95% of the data is,

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a=1-0.95 0.05 a - 0.025 2

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Step 2

Hence, 0.025 in each tail.

Step-by-step procedure to obtain the values of Z that will give you the middle 95% of the data using MINITAB:

  • Choose Graph > Probability Distribution Plot choose View Probability > OK.
  • From Distribution, choose ‘Normal’ distribution.
  • Click the Shaded Area
  • Choose Probability and Middle Tail for the region of the curve to shade.
  • Enter the Probability ...
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Distribution Plot Normal, Mean=0, StDev-1 095 0.4 0.3 0.2 0.1 00 -1960 0 1960 Density

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