Question 1

The standard normal distribution is also called the z-distribution.

Accepted Answer

A) True 
 B)False

Question 2

Explain the process by which you convert a z-score to a proportion. How do you know what to look for in the z-table?

Accepted Answer

The key is to identify which side of the

Question 3

If you are drawing from a uniform distribution with scores ranging from 1 to 5, what is the probability of drawing a 4?

Accepted Answer

A)  1/5 
B)  2/5 
C)  1 
D)  none of these 
A)  1/5 
B)  2/5 
C)  1 
D)  none of these

Question 4

If F1F1F1S1F1F1F10 = 3 and F1F1F1S1F1F1F10F1F1F1S1F1F1F10 = 1, calculate x when z = 0.

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  3 
A)  0 
B)  1 
C)  2 
D)  3

Question 5

If x̄ = 2 and s2 = 4, calculate z when x = 4.

Accepted Answer

A)  -2 
B)  -1 
C)  1 
D)  2 
A)  -2 
B)  -1 
C)  1 
D)  2

Question 6

For the survey variable below, complete the following table.
 $\begin{array}{|c|c|l|}
\hline \text { Survey } & z & \text { Percentile rank } \
\hline 4 & & \
\hline 3 & & \
\hline 2 & & \
\hline 3 & & \
\hline 4 & & \
\hline 2 & & \
\hline 2 & & \
\hline 4 & & \
\hline 2 & & \
\hline 3 & & \
\hline 2 & & \
\hline
\end{array}$

Accepted Answer

None

Question 7

Imagine you converted a dataset with n = 50 to z-scores. Describe the mean, standard deviation, and shape of the resulting distribution of z-scores.

Accepted Answer

The mean of z-scores will be a

Question 8

If x̄ = -1 and s2 = 4, 18.41% of values are below what raw score?

Accepted Answer

A)  2.8 
B)  -1.9 
C)  -2.8 
D)  1.9 
A)  2.8 
B)  -1.9 
C)  -2.8 
D)  1.9

Question 9

When drawing from a uniform distribution, it is equally probable that you will draw any number described by that distribution.

Accepted Answer

A) True 
 B)False

Question 10

Regardless of the shape of your original distribution, z-scores computed from that distribution will be normally distributed.

Accepted Answer

A) True 
 B)False

Question 11

z = 1.75 is the 4th percentile.

Accepted Answer

A) True 
 B)False

Question 12

In a distribution where F1F1F1S1F1F1F10 = 3 and F1F1F1S1F1F1F10 = 2, a z-score of 1.5 is associated with x = 6.

Accepted Answer

A) True 
 B)False

Question 13

Which of the following is an accurate interpretation of the 10th percentile?

Accepted Answer

A)  10% of scores fall above this point 
B)  10% of scores fall below this point 
C)  10% of scores are used to calculate this rank 
D)  10% of scores are between this point and the mean 
A)  10% of scores fall above this point 
B)  10% of scores fall below this point 
C)  10% of scores are used to calculate this rank 
D)  10% of scores are between this point and the mean

Question 14

If F1F1F1S1F1F1F10 = 3 and F1F1F1S1F1F1F10F1F1F1S1F1F1F10 = 1, 2.17% of values are above what raw score?

Accepted Answer

A)  x = 5.02 
B)  x = 2.02 
C)  x = 0.98 
D)  x = 5.17 
A)  x = 5.02 
B)  x = 2.02 
C)  x = 0.98 
D)  x = 5.17

Question 15

Constant, normal, and skewed are all types of distributions.

Accepted Answer

A) True 
 B)False

Question 16

The 48th percentile is most closely associated with which of the following z-scores?

Accepted Answer

A)  z = -.05 
B)  z = .32 
C)  z = .05 
D)  z = -.32 
A)  z = -.05 
B)  z = .32 
C)  z = .05 
D)  z = -.32

Question 17

z = -2.00 is the 2nd percentile.

Accepted Answer

A) True 
 B)False

Question 18

If F1F1F1S1F1F1F10 = 9 and F1F1F1S1F1F1F10 = 3 and scores are normally distributed, what is the percentile rank of x = 3?

Accepted Answer

A)  98th 
B)  3rd 
C)  1st 
D)  2nd 
A)  98th 
B)  3rd 
C)  1st 
D)  2nd

Question 19

If x̄ = 2 and s2 = 4 and scores are normally distributed, what proportion of scores fall above x = 4?

Accepted Answer

A)  .1587 
B)  .3085 
C)  .6915 
D)  .8413 
A)  .1587 
B)  .3085 
C)  .6915 
D)  .8413

Question 20

Converting raw scores to z-scores allows you to compare those z-scores across datasets.

Accepted Answer

A) True 
 B)False

The standard normal distribution is also called the z-distribution.

Explain the process by which you convert a z-score to a proportion. How do you know what to look for in the z-table?

If you are drawing from a uniform distribution with scores ranging from 1 to 5, what is the probability of drawing a 4?

If  = 3 and ^ = 1, calculate x when z = 0.

If x̄ = 2 and s² = 4, calculate z when x = 4.

For the survey variable below, complete the following table. Survey z Percentile rank 4 3 2 3 4 2 2 4 2 3 2

Imagine you converted a dataset with n = 50 to z-scores. Describe the mean, standard deviation, and shape of the resulting distribution of z-scores.

If x̄ = -1 and s² = 4, 18.41% of values are below what raw score?

When drawing from a uniform distribution, it is equally probable that you will draw any number described by that distribution.

Regardless of the shape of your original distribution, z-scores computed from that distribution will be normally distributed.

z = 1.75 is the 4th percentile.

In a distribution where  = 3 and  = 2, a z-score of 1.5 is associated with x = 6.

Which of the following is an accurate interpretation of the 10th percentile?

If  = 3 and ^ = 1, 2.17% of values are above what raw score?

Constant, normal, and skewed are all types of distributions.

The 48th percentile is most closely associated with which of the following z-scores?

z = -2.00 is the 2nd percentile.

If  = 9 and  = 3 and scores are normally distributed, what is the percentile rank of x = 3?

If x̄ = 2 and s² = 4 and scores are normally distributed, what proportion of scores fall above x = 4?

Converting raw scores to z-scores allows you to compare those z-scores across datasets.

The Language of Statistics

Working With Numbers and Data Display

Central Tendency and Variability

Sampling Distributions

Estimation and Confidence Intervals

Hypothesis Testing

Tests for Significance: Z-Tests and One-Sample T-Tests

Tests for Significance: Paired and Independent-Samples T-Test

Analysis of Variance Anova

CHI-Squared Tests of Fit

Correlation R and Regression Y BX A

Matching Statistical Tests to Business Problems

Filters

Exam 4: Probability Distributions

The standard normal distribution is also called the z-distribution.

Explain the process by which you convert a z-score to a proportion. How do you know what to look for in the z-table?

If you are drawing from a uniform distribution with scores ranging from 1 to 5, what is the probability of drawing a 4?

If  = 3 and  = 1, calculate x when z = 0.

If x̄ = 2 and s2 = 4, calculate z when x = 4.

For the survey variable below, complete the following table. Survey z Percentile rank 4 3 2 3 4 2 2 4 2 3 2

Imagine you converted a dataset with n = 50 to z-scores. Describe the mean, standard deviation, and shape of the resulting distribution of z-scores.

If x̄ = -1 and s2 = 4, 18.41% of values are below what raw score?

When drawing from a uniform distribution, it is equally probable that you will draw any number described by that distribution.

Regardless of the shape of your original distribution, z-scores computed from that distribution will be normally distributed.

z = 1.75 is the 4th percentile.

In a distribution where  = 3 and  = 2, a z-score of 1.5 is associated with x = 6.

Which of the following is an accurate interpretation of the 10th percentile?

If  = 3 and  = 1, 2.17% of values are above what raw score?

Constant, normal, and skewed are all types of distributions.

The 48th percentile is most closely associated with which of the following z-scores?

z = -2.00 is the 2nd percentile.

If  = 9 and  = 3 and scores are normally distributed, what is the percentile rank of x = 3?

If x̄ = 2 and s2 = 4 and scores are normally distributed, what proportion of scores fall above x = 4?

Converting raw scores to z-scores allows you to compare those z-scores across datasets.

The Language of Statistics

Working With Numbers and Data Display

Central Tendency and Variability

Sampling Distributions

Estimation and Confidence Intervals

Hypothesis Testing

Tests for Significance: Z-Tests and One-Sample T-Tests

Tests for Significance: Paired and Independent-Samples T-Test

Analysis of Variance Anova

CHI-Squared Tests of Fit

Correlation R and Regression Y BX A

Matching Statistical Tests to Business Problems

Filters

If  = 3 and ^ = 1, calculate x when z = 0.

If x̄ = 2 and s² = 4, calculate z when x = 4.

If x̄ = -1 and s² = 4, 18.41% of values are below what raw score?

If  = 3 and ^ = 1, 2.17% of values are above what raw score?

If x̄ = 2 and s² = 4 and scores are normally distributed, what proportion of scores fall above x = 4?