PSY 309W Exam 4

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What is the variance for the following population of scores? Scores: 5, 2, 5, 4​

1.5

What is the value of SS (sum of squared deviations) for the following population? Population: 1, 1, 1, 5

12

What is the value of SS (sum of squared deviations) for the following sample? Sample: 2, 3, 4, 7 ​

14

A population has sum of squared deviations, SS = 100 and variance, s 2 = 4. What is the value of the standard deviation of the population?​

2

A population of N = 5 scores has ΣX = 20 and ΣX 2 = 100. For this population, what is the value of SS (sum of squared deviations)?​

20

A population has sum of squared deviations, SS = 100 and variance, s 2 = 4. How many scores are in the population?​

25

What is the value of SS for the following set of scores? Scores: 8,3,1

26

A population of scores has µ = 80. In this population, a score of X = 86 corresponds to z = +2.00. What is the population standard deviation?​

3

A sample of n = 25 scores has mean M = 20 and variance s2 = 9. What is the sample standard deviation?​

3

What is the value of SS (sum of squared deviations) for the following sample? Sample: 1, 1, 1, 3 ​

3

A population of N = 6 scores has Σ X = 12 and Σ X2 = 54. What is the value of SS for this population?​

30

The sum of the squared deviation scores is SS = 20 for a sample of n = 5 scores. What is the variance for this sample?​

5

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

75

For a particular sample of size n=10, the largest distance (deviation) between a score and the mean is 11 points. The smallest distance between a score and the mean is 4 points. Therefore, the standard deviation will be ____.​

Between 4 and 11

In N = 25 games last season, the college basketball team averaged µ = 76 points with a standard deviation of σ = 6. In their final game of the season, the team scored 89 points. Based on this information, the number of points scored in the final game was ____.​

Far Above Average

Last week Sarah had exams in Math, Spanish and English. On the Math exam, the mean was µ = 40 with σ = 5 and Sarah had a score of X = 45. On the Spanish exam, the mean was µ = 60 with s = 8 and Sarah had a score of X = 68. On the English exam, the mean was µ = 70 with s = 8 and Sarah had a score of X = 78. For which class should Sara expect the better grade?​

Grades are the same

A sample with M = 85 and s = 12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the sample of z-scores?

M=0 and s=1

For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the sample mean and standard deviation?​

M=30 and s=10

What are the values for SS and variance for the following sample of n = 3 scores?​ Sample: 1, 4, 7

SS=18 and variance=9

What are the values for SS (sum of squared deviations) and variance for the following sample of n = 4 scores? Sample: 1, 1, 0, 4​

SS=9 and Variance=3

What is the value of SS (sum of squared deviations) for the following set of scores? If the scores constitute a population, what is the population standard deviation, s? Scores: 1, 1, 4, 0.​

SS=9 and s=2.25

The process of transforming every x value in a distribution into a corresponding z-score to create a distribution of z-scores is called a z-score transformation.

True

The range and the standard deviation are both measures of spread.​

True

The range is usually considered to be a relatively crude measure of variability.​

True

Variability provides a quantitative measure of the difference between scores in a distribution.​

True

A population distribution has σ = 6. What position in this distribution is identified by a z-score of z = +2.00?​

Twelve points above the mean

A distribution with µ = 35 and s = 8 is being standardized so that the new mean and standard deviation will be µ = 50 and s = 10. In the new, standardized distribution your score is X = 45. What was your score in the original distribution?​

X=31

In a population of scores, X = 83 corresponds to z = -0.50 and X = 93 corresponds to z = +2.00. What are the values for the population mean and standard deviation?​

m=85 and s=4

Which of the following symbols identifies the sample variance?

s^2

Which of the following represents the deviation score?​

x-u

Which of the following z-score values represents the location closest to the mean?​

z=+0.50

Which of the following symbols identifies the population standard deviation?​

σ

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?​

σ = 2

A population has μ = 50. What value of σ would make X = 55 a more central, representative score in the population?​

σ = 20

Given a population with M=60, which of the following values for the population standard deviation would cause X=68 to have the most extreme position in the distribution?

σ=2

If sample variance is computed by dividing SS by df = n - 1, then the average value of the sample variances from all the possible random samples will be ____ the population variance.​

Exactly Equal To

For a sample with s = 12, a score of X = 73 corresponds to z = 1.00. What is the sample mean?​

M=61

Last week, Sarah had exams in Math, Spanish, and English. On the Math exam, the mean was µ = 30 with s = 5, and Sarah had a score of X = 45. On the Spanish exam, the mean was µ = 60 with s = 8 and Sarah had a score of X = 68. On the English exam, the mean was µ = 70 with s = 8 and Sarah had a score of X = 70. For which class should Sara expect the better grade?​

Math

A population of N = 5 scores has SS = 20 and σ 2 = 4. If the 5 scores were a sample, the value of SS would still be 20 but the variance would be s2 = 5.​

True

A population with SS = 90 and a variance of 9 has N = 10 scores.​

True

A sample with a variance of 25 has a standard deviation equal to 5 points.​

True

A score with a value less than or equal to the mean will have a z-score that is less than or equal to zero.

True

After a researcher multiplies every score in a sample by 2, the standard deviation is found to be s = 10. The original sample had a standard deviation of s = 5.​

True

If two individuals in the same population have identical X scores, they also will have identical z - scores.

True

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

True

It is easier to see the mean difference between two samples if the sample variances are small.​

True

On an exam, Tom scored 12 points above the mean and had a z-score of +2.00. The standard deviation for the set of exam scores must be s = 6.

True

Standardized scores are "simple" values for the mean and standard deviation that do not change any individual's location within the distribution.

True

Given a population of N scores, the sum of the deviation scores is equal to N.​

False

If the population variance is 5, then the population standard deviation is σ = 25.​

False

A positive deviation always indicates a score that is less than the mean.​

False

For a population, a deviation score is computed as X - μ.​

True

A population of scores has µ = 50 and σ = 5. If every score in the population is multiplied by 3, then what are the new values for the mean and standard deviation?​

​µ = 150 and σ = 15

A population has µ = 50 and σ = 5. If 10 points are added to every score in the population, then what are the new values for the mean and standard deviation?​

​µ = 60 and σ = 5

In a population with σ = 8, a score of X = 44 corresponds to a z-score of z = -0.50. What is the population mean?​

​μ = 48

You have a score of X = 65 on an exam. Which set of parameters would give you the best grade on the exam?​

​μ = 60 and σ = 5

You have a score of X = 75 on a statistics exam. The mean score for the class on the exam is μ = 70. Which of the following values for the standard deviation would give you the highest position within the class?​

​σ = 1

Which set of scores has the smallest standard deviation?​

​145, 143, 145, 147

A sample of n = 7 scores has SS = 42. The variance for this sample is s2 = 6.​

False

A sample of n = 20 scores has a mean of M = 45 and a standard deviation of s = 8. In this sample, what is the z-score corresponding to X = 57?​

z=1.50

A population of N = 100 scores has mean µ = 30 and standard deviation σ = 4. What is the population variance?​

16

For a sample of n = 16 scores, how many scores are used to calculate the sample variance?​

16

What is the value of SS for the following set of sample scores? Scores: 0, 1, 4, 5​

17

A sample consists of n = 16 scores. How many of the scores are used to calculate the range?

2

The sum of the squared deviation scores is SS = 20 for a population of N = 5 scores. What is the variance for this population?​

4

A sample of n = 8 scores has SS = 50. If these same scores were a population, then the SS value for the population would be ____.​

50

A population of scores has µ = 44. In this population, a score of X = 40 corresponds to z = -0.50. What is the population standard deviation?​

8

For a population with µ = 100 and σ = 20, what is the X value corresponding to z = -0.75?​

85

If sample variance is computed by dividing SS by df=n-1, then the average value of the sample variance from all the possible random samples will be _____ the population variance.

Exactly Equal to

For a population with a mean of μ = 40, a score of X = 37 corresponds to z = -0.50. The standard deviation for the population is s = 3.

False

For a population with a mean of μ = 80 and a standard deviation of σ = 12, a score of X = 77 corresponds to z = -0.50.

False

For a population with µ = 70 and σ = 5, about 95% of the individuals will have scores between X = 65 and X = 75.​

False

For a population with μ = 30, a score of X = 24 corresponds to z = -2.00. The standard deviation for the population is s = 6.

False

For a sample with a standard deviation of s = 6, a z-score of z = -1.50 corresponds to a location that is 9 points above the mean.

False

For a sample with a standard deviation of s = 8, a score of X = 42 corresponds to z = -0.25. The mean for the sample is M = 40.

False

If you have a score of X = 76 on an exam with μ = 70, you should expect a better grade if σ = 10 than if σ = 5.​

False

In a sample of n = 40 scores, X = 31 corresponds to z = -1.50 and X = 39 corresponds to z = +0.50. The sample mean is M = 36.

False

Multiplying every score in a sample by 3 will not change the value of the standard deviation.​

False

For an exam with a mean of M = 74 and a standard deviation of s = 8, Mary has a score of X = 80, Bob's score corresponds to z = +1.50, and Sue's score is located above the mean by 10 points. If the students are placed in order from smallest score to largest score, what is the correct order?​

Mary,Sue,Bob

The smallest score in a population is X = 5 and the largest score is X = 10. Based on this information, you can conclude that the____.​

Standard Deviation is smaller than 5

Any individual with a positive z-score has a score greater than the mean.

True

Because all z-score distributions have the same mean and standard deviation, the z-score distribution is called a standardized distribution.

True

For a population of exam scores, a score of X = 83 corresponds to z = +0.50 and a score of X = 89 corresponds to z = +1.50. The population mean is μ = 80.

True

For a population with a mean of μ = 80, any score greater than 80 will have a positive z-score.

True

For a population with a standard deviation of s = 12, a z-score of z = +0.50 corresponds to a score that is above the mean by 6 points.

True

For a sample with M = 20 and s = 1, a score of X = 17 would be considered an extremely low score.​

True

For a sample with M=40 and s=4, about 95% of the individuals will have scores between X=32 and X=48.

True

For a sample with a mean of M = 50 and a standard deviation of s = 10, a z-score of z = +2.00 corresponds to X = 70.

True

For a sample with a mean of M = 76, a score of X = 72 corresponds to z = -0.50. The sample standard deviation is s = 8.

True

For any distribution of scores, the location identified by z = +1 and the location identified by z = -1 are exactly the same distance from the mean.

True

If the population standard deviation is 4, then the variance will be σ2 = 16.​

True

A population of scores has µ = 50 and σ = 5. If every score in the population is multiplied by 3, then what are the new values for the mean and standard deviation?

​µ = 150 and σ = 15

Which of the following is true for most distributions?​

​Around 70% of the scores will be located within one standard deviation of the mean.

Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?​

​When the population standard deviation is much smaller than 15


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