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
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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