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Intro to Stats 2
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Terms in this set (25)
The range and the standard deviation are both measures of distance
True
The range is usually considered to be a relatively crude measure of variability
True
For a population, a deviation score is computed as X-µ
True
If the population variance is 4, then the standard deviation will be σ = 16
False
A sample with a variance of 25 has a standard deviation equal to 5 points
True
If a sample of n=6 scores has ΣX=30 and ΣX^2=200 then SS=20
False
In a population with a mean of µ=40 and a standard deviation of σ=8, a score of X=46 would be an extreme value, far out in the tail of distribution
False
For a sample with M=20 and s=4, a score of X=17 would be considered an extremely low score
False
For a sample with M=40 and s=4, about 95% of the individuals will have scores between X=32 and X=48
True
It is easier to see the mean difference between two samples if the sample variances are small
True
A positive z-score always corresponds to a score that is greater than the mean
True
A z-score of z=+1.00 always indicates a location exactly 1 standard deviation above the mean
True
If two individuals in the same population have identical X scores, they also will have identical z-scores
True
A score that is 6 points above the mean corresponds to a z-score of z=+0.50. For this population, the standard deviation is σ=3
False
For a population with a mean of µ=60 and a standard deviation of σ=8, a score of X=56 corresponds to z= -0.50
True
For any distribution of scores, the location identified by z=+1 and the location identified by z= -1 are exactly the same distance from the mean
True
Transforming an entire distribution of scores into z-scores will not change the shape of the distribution
True
A population with µ=41 and σ=4 is standardized to create a new distribution with µ=50 and σ=10. In this transformation, a score of X=39 from the original distribution will be transformed into a score of X=55
False
For a sample with M=50 and s=8, z=1.5 corresponds to X=65
False
All probabilities can be expressed as decimal values ranging from 0 to 1.00
True
For a normal distribution proportions in the right-hand tail are positive and proportions in the left hand tail are negative
False
For any normal distribution the proportion in the tail beyond z=2.00 is p=0.0228
True
For a normal distribution the proportion located between z = -1.00 and z=+1.00 is p=34.13%
False
If one score is randomly selected from a normal distribution with µ=100 and σ=20, the probability of obtaining a score greater than X=110 is p=0.06915
False
For a normal distribution with µ=100 σ=20, the score that separates the top 60% of the distribution from the bottom 40% is X=105
False
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