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(Solved by Expert Tutors) 1. For a population with m = 50 and a standard deviation of s>

# 1. For a population with m = 50 and a standard deviation of s

= 10,<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

a. Find the z-score for eachof the following X values.

X= 55 X = 60 X = 75

X= 45 X = 30 X = 35

b. Find the score (X value) thatcorresponds to each of the following z-scores.

z = 1.00 z= 0.80 z = 1.50

z = -0.50 z= -0.30 z = -1.50

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2. Find the z-scorecorresponding to a score of X = 60 for each of the following

distributions.

a. m= 50 and s = 10

b. m= 50 and s = 5

c. m= 70 and s = 20

d. m= 70 and s = 5

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3. For a sample with a standarddeviation of s = 6, a score of X = 65 corresponds to z = 1.50.What is the sample mean?

?

4. For each of the following,identify the exam score that should lead to the better grade.

a. A score of X = 43, on an examwith ? = 40 and ? = 2, or a score of X = 60 on an exam with ? = 50 and ? = 20.

b. A score of X = 55, on an examwith ? = 60 and ? = 5, or a score of X = 40 on an exam with ? = 50 and ? =20.

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5. A distribution with a mean of m = 64 and a standard deviation of s = 4 is being transformed into a standardizeddistribution with m= 100 and a s= 20. Find the new, standardized score for each of thefollowing values from the original population.

a. X = 60 c. X = 52

b. X = 72 d. X = 66

6.A kindergarten class consists of 14 boys and 11 girls. If the teacher selectschildren from the class using random sampling,

a. What is the probability that thefirst child selected will be a girl?

b.If the teacher selects a random sample of n = 3 children and the first twochildren are both boys, what is the probability that the third child selectedwill be a girl?

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