Question

Determine the z-score value in each of the following scenarios: a. What z-score value separates the...

Determine the z-score value in each of the following scenarios:

a. What z-score value separates the top 8% of a normal distribution from the bottom 92%?

Using standard normal table, a) P(Z < z) = 0.92 To see the probability 0.92 in the standard normal table the corresponding z value is 1.405 . P(Z < 1.405) = 0.92 z - score = 1.405 b) P(Z < z) = 0.28

Please can you show me how to get the exact calculations for get the z score of 1.405

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Answer #1

Solution:

a) P(Z < z) = 0.92

Answer: To get the exact z-score as 1.405 for the probability 0.92, we need to use the technology like excel.

The formula in excel is:

b) P(Z < z) = 0.28

Answer: The excel formula is:

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