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Events that occur in the extremes of the normal curve have a very small probability of occurring.

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Which of the following is true of z scores that fall below the mean?


A) They are positive.
B) They are equal to the mode.
C) They are negative.
D) They are in the upper half of the distribution.

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What characteristic of the normal curve deals with skewness?


A) asymptotic
B) symmetry
C) probability
D) mean, median, and mode

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If you want to calculate a z score for a test where your raw score was 24, what other information must you know?


A) shape of the distribution
B) mean, median, and mode
C) mean and standard deviation
D) standard deviation only

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_______ of scores fall on either side of the distribution.


A) 99.5%
B) 68%
C) 50%
D) 95%

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z scores that fall above the mean are _______.


A) positive
B) negative
C) zero
D) one

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Standard scores are raw scores that have been adjusted for the particular mean and standard deviation of the distribution from which they are derived.

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Which of the following is another name for the normal curve?


A) asymptotic
B) symmetry
C) probability
D) bell-shaped curve

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Under the normal curve, if a z score of 1.65 included 45% of the area above the mean, what percentage would remain above 1.65 on the x-axis?


A) 5%
B) 25%
C) 85%
D) 95%

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If you fold a normal curve, each half would fit perfectly on top of the other.This characteristic is known as _______.


A) asymptotic
B) symmetry
C) probability
D) variability

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If a distribution has a mean of 30 and a standard deviation of 5, how many standard deviations is 60 from the mean?


A) 5
B) 6
C) −6
D) 0

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_______ of scores fall within one standard deviation of the mean.


A) 99.5%
B) 68%
C) 50%
D) 95%

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To calculate a z score, you subtract ______.


A) the mean from the raw score and divide this difference by the standard deviation
B) the mean from the raw score and divide this difference by the variance
C) the raw score from the mean and divide this difference by the standard deviation
D) the raw score from the mean and divide this difference by the variance

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What type of standard score is computed by multiplying the z score by 10 and adding 50?


A) IQ score
B) t score
C) x score
D) z score

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In order to say that a distribution is positively skewed, which of the following must be true?


A) right tail must be longer than left
B) right tail must be shorter than left
C) right and left tail must be equal
D) curve must be bell shaped

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z scores that fall below the mean are _______.


A) positive
B) negative
C) either positive or negative
D) zero

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If you know the z score, standard deviation(s) , and mean (M) , what formula would you use to compute the raw score (X) ?


A) X = (z + s) ÷ M
B) M = z(s) + X
C) X = z(s) + M
D) z = (M - X) ÷ s

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When the left tail of a distribution's curve is longer the right, what is this called?


A) platykurtic
B) leptokurtic
C) positive skew
D) negative skew

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Under the normal curve, approximately what percentage of scores falls between −1 and −2 standard deviations below the mean?


A) 14%
B) 34%
C) 68%
D) 95%

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The percentages or areas under the normal curve can be interpreted as probabilities.

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