# 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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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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Step 1

The middle 95% of the data is,

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.
• Choose Probability and Middle Tail for the region of the curve to shade.
• Enter the Probability ... help_outlineImage TranscriptioncloseDistribution Plot Normal, Mean=0, StDev-1 095 0.4 0.3 0.2 0.1 00 -1960 0 1960 Density fullscreen

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