Homework 5

For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 70% in the body on the right-hand side is ____. (Make sure that you take your answer to two decimal places.)

-0.5200

For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 20% in the tail on the left-hand side is ____. (Make sure that you take your answer to two decimal places.)

-0.8400

The proportion of a normal distribution located between z = -.25 and z = -.75 is ____. (Make sure that you take your answer to four decimal places.)

0.1747

A population of scores forms a normal distribution with a mean of μ = 80 and a standard deviation of \sigma=10σ=10. The proportion of scores that will have values between 75 and 85 is ____. (Make sure that you take your answer to four decimal places.)

0.3830

The proportion of a normal distribution located between z = .50 and z = -.50 is ____. (Make sure that you take your answer to four decimal places.)

0.3830

The proportion of a normal distribution located between z = 0 and z = -1.50 is ____. (Make sure that you take your answer to four decimal places.)

0.4332

For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 75% in the body on the left-hand side is ____. (Make sure that you take your answer to two decimal places.)

0.6700

For a normal distribution, the z-score values that separate the middle 60% from the 40% in the tails are +/- ________. (Make sure that you take your answers to two decimal places.)

0.8400

For a normal distribution, the z-score values that separate the middle 70% from the 30% in the tails are +/- ________. (Make sure that you take your answers to two decimal places.)

1.0400

For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 10% in the tail on the right-hand side is ____. (Make sure that you take your answer to two decimal places.)

1.2800

For a population with μ = 80 and σ=10, what is the z-score corresponding to x = 95? 1.50 0.75 0.50 0.25

1.50

If the tail of a normal distribution contains exactly 2.5% of the scores, then what is the z-score value that separates the tail from the body of the distribution?

1.96 or -1.96

A population of scores has μ = 44. In this population, a score of x = 40 corresponds to z = -1.00. What is the population standard deviation? 2 -4 -2 4

4

A population of scores has μ = 44. In this population, a score of x = 40 corresponds to z = -1.00. What is the population standard deviation?

4.0000

A population of scores with μ = 73 and σ=6 is standardized to create a new population with μ = 50 and σ=10. The new value for a score of x = 67 is x = ____.

40.0000

A population of scores with μ = 73 and σ=6 is standardized to create a new population with μ = 50 and σ=10. The new value for a score of x = 82 is x = ____.

65.0000

For a population with σ=10, a score of x = 60 corresponds to z = -1.50. What is the population mean? 45 30 75 90

75

A population with μ = 85 and σ=12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the population of z-scores? μ=85 and σ=12 μ=85 and σ=1 μ=0 and σ=1 μ=0 and σ=12

μ=0 and σ=1