The value of is that divides the standard normal distribution so that half the area is on one side and half is on the other.
Further explanation:
The normal distribution that has mean zero and variance one is known as standard normal distribution.
The random variable follows standard normal distribution with mean zero and variance one.
Then the value of can be obtained as,
Calculation:
The normal distribution is symmetric.
The standard normal distribution is bell shaped curve and it also a symmetric curve.
From the standard normal table or -table the value that divides the data into two equal half is .
The data lies above zero and data lies below zero.
Hence, the value of is that divides the standard normal distribution so that half the area is on one side and half is on the other.
Learn more:
1. Learn more about normal distribution brainly.com/question/12698949
2. Learn more about standard normal distribution brainly.com/question/13006989
3. Learn more about confidence interval of mean brainly.com/question/12986589
Answer details:
Grade: College
Subject: Statistics
Chapter: Normal distribution
Keywords: Z-score, Z-value, standard normal distribution, standard deviation, criminologist, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion, empirical rule.