For a Variable That Has a Standard Normal Distribution

question 7

Essay

For a variable that has a standard normal distribution,
a)What is the probability that z < −1.34?
b)What is the probability that z < +2.56?
c)What is the probability that z is between −1.5 and +1.5.
d)What value of z separates the smaller 5% of the standard normal distribution from the larger 95%?
e)What values of −z and +z separate the middle 90% of the standard normal distribution from the extreme 10%?

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Definitions:

Data Points

Individual measurements or observations collected during data gathering.

Residual Term

The difference between observed values and the estimated values in a regression model.

Random Error

An error in measurement caused by unpredictable fluctuations in the variables being measured.

Least Squares Regression Line

A straight line that best fits the data points in a scatter plot by minimizing the sum of the squares of the vertical distances (residues) of the points from the line.