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a standard Normal distribution, what percentage of observationnd the z-table here.4.95%5.48%6.06%95.05%

a standard Normal distribution, what percentage of observationnd the z-table here-example-1
User Zkanda
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SOLUTION:

Case: Z-scores and probabilities

Given: z-score of standard normal distribution, z= 1.65

Required: To get the percentage of observation

Method: We will be reading it off the z-score table

Step 1: First we see what the table looks like

Step 2: From the table, we trace 1.65 by looking at 1.6 on the column title and 0.05 on the row title

Step 3: We observe the value is 0.4505

This translates to 45.05%.

However, we are interested in the values above the 45.05%. So everything from the left of that line to the 50th percentile is 45.05% of the populations. In addition to that you have another 50% of the people below the 50th percentile. That's a total of 95.05% below this z score

To get the z-score above this, we do:

1 - 0.9505

P(> z) = 0.0495 or 4.95%

Final answer:

A) The answer is 4.95%

a standard Normal distribution, what percentage of observationnd the z-table here-example-1
a standard Normal distribution, what percentage of observationnd the z-table here-example-2
User Joe Patten
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