What is standard deviation for population of z-scores

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Reference no: EM132852532

A distribution with µ = 55 and s = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and s = 10. When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution??

a.?X = 58
b.?X = 55
c.?X = 61
d.?X = 53

A population with µ = 85 and s = 12 is transformed into z-scores. After the transformation, what is the standard deviation for the population of z-scores?

True
False

In a population with s = 4, a score of X = 48 corresponds to z = 1.50. The mean for this population is µ = 42.

a.?s = 1.00
b.?s = 12
c.?s = 0
d.?s = 4.

For a population with µ = 80 and σ = 10, what is the X value corresponding to z = -0.50??

a.?85
b.?79.5
c.?-5
d.?75

On an exam with μ = 52, you have a score of X = 56. Which of the following values for the standard deviation would give you the highest position in the class distribution??

a.?σ = 4
b.?σ = 2
c.?σ = 8
d.?σ = 10

A jar contains 10 red marbles and 20 blue marbles. If you take a random sample with replacement of two marbles from this jar and the first marble is blue, then the probability that the second marble is blue is p = 19/29.

True
False

A vertical line drawn through a normal distribution at z = -0.75 will separate the distribution into two sections. The proportion in the smaller section is 0.2734.

True
False

What proportion of a normal distribution is located between the mean and z = -0.40??

a.?0.3446
b.?0.6554
c.?0.3108
d.?0.1554

A normal distribution has a mean of µ = 100 with σ = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 110??

a.?0.3830
b.?0.3085
c.0.6915?
d.?0.1915

A binomial distribution has p = 1/5 and q = 4/5 with n = 100. In the normal approximation to this distribution, what is the z-score corresponding to X = 25??

a.?z = 1.25
b.?z = 0.50
c.?z = 1.00
d.?z = 1.50

Reference no: EM132852532

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