Adding a constant a to each observation changes these two things
What is measures of center and location
100
The Empirical Rule says given normal distribution approximately ___% of all obserations fall within one standard deviation of the mean
What is 68%
100
A standardized score
What is Z-Score
200
The z-score for x=25 given approximately normal distribution with mean 32.5 and standard deviation 5.5
What is -1.36
200
In a symmetric density curve these two things are the same.
What is mean and median
200
These measures stay the same after adding a constant a to each observation
What is shape and spread
200
Given an approximately normal distribution, ____% of all values are above the mean.
What is 50%
200
The pth percentile of a distribution is the value with p percent of the observations _________ it.
(less than, equal to, greater than)
What is less than
300
The proportion of values between the mean and z=1.17
What is 0.3790
300
The mean of a density curve skewed left is pulled towards this side
What is left
300
After multiplying each observation by a constant "b" this measure does not change.
What is shape
300
Given approximately normal distribution with a mean 35 and standard deviation 5, approximately 99.7% of all values are contained in this interval.
What is 20<x<50
300
A ___________ is a curve on or above the horizontal axis that has area of exactly 1 underneath it
What is density curve
400
The percentile rank for z=2.24
What is 98.75%
400
The total area under the density curve
What is 1
400
After dividing each observation by a constant "b" these measures are affected
What is center, location, and spread
400
Approximately what percent of values lie with in -2 standard deviations and +1 standard deviation of the mean (-2 st dev
What is 81.5%
400
The median of a density curve is the ____ _____ ____
What is "equal-areas point"
500
The percent of values falling between z= -.38 and z= 1.63
What is 59.64%
500
A special density curve that is symmetric, single-peaked, and bell-shaped
What is a normal curve
500
After adding "a" and multiplying "b" to every observation, this happens to the standard deviation. (be specific)
What is the standard deviation is multiplied by "b"
500
Approximately _____% of values are greater than 2 standard deviations above the mean or less than 3 standard deviations below the mean given approximately normal distribution
What is 2.62%
500
A ______ _______ _____ can be used to assess normality