Given that P (−d < z < d) = 0.4844, the calculated value of d is 0.65
How to determine the value of d
From the question, we have the following parameters that can be used in our computation:
P (−d < z < d) = 0.4844
This means that the area to the left side and right side of mean is
Area = 0.4844/2
Evaluate
Area = 0.2422
Using the z-table of probabilities
The z-score at an area of 0.2422 is 0.65
This means that
d = 0.65
Hence, the value of d is 0.65
Question
Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
If P ( − d < z < d ) = 0.4844 , how do you find d ?