Question 1

Without some correction,sample variability is said to be "biased." Define the term biased,and explain how this bias is corrected in the formula for sample variance.​

Accepted Answer

Without some correction,sample variability,on average,tends to be smaller than the population variability.Whenever the average value of a statistic underestimates (or overestimates)the corresponding population parameter,the statistic is said to be biased.The bias in sample variability is corrected by dividing the sum of squared deviations (SS)by n - 1 (instead of n)in the formula for sample variance.​

Question 2

A sample of n = 9 scores has a variance of s2 = 144.What is the standard deviation for this sample?​

Accepted Answer

A) ​s=19 
B) ​s=12 
C) ​s=16 
D) ​s=14 
A) ​s=19 
B) ​s=12 
C) ​s=16 
D) ​s=14 B

Question 3

In a population with a mean of μ = 40 and a standard deviation of σ = 8,a score of X = 46 would be an extreme value,far out in the tail of the distribution.​

Accepted Answer

A) True 
 B)False  False

Question 4

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​

Accepted Answer

A) ​SS = 9 and variance = 3 
B) ​SS = 9 and variance = 2.25 
C) ​SS = 18 and variance = 6 
D) ​SS = 18 and variance = 9 
A) ​SS = 9 and variance = 3 
B) ​SS = 9 and variance = 2.25 
C) ​SS = 18 and variance = 6 
D) ​SS = 18 and variance = 9

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

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 ____.​

Accepted Answer

A) ​less than 4 
B) ​between 4 and 11 
C) ​greater than 11 
D) ​equal to 0 
A) ​less than 4 
B) ​between 4 and 11 
C) ​greater than 11 
D) ​equal to 0

Question 7

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

Accepted Answer

A) True 
 B)False

Question 8

A population of N = 5 scores has SS = 20 and σ2 = 4.If the 5 scores were a sample,the value of SS would still be 20 but the variance would be s2 = 5.​

Accepted Answer

A) True 
 B)False

Question 9

There is a six-point difference between two sample means.If the two samples have the same variance,then which of the following values for the variance would make the mean difference easiest to see in a graph showing the two distributions.​

Accepted Answer

A) ​s2 = 2 
B) ​s2 = 8 
C) ​s2 = 16 
D) ​s2 = 64 
A) ​s2 = 2 
B) ​s2 = 8 
C) ​s2 = 16 
D) ​s2 = 64

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

Using the definitional formula,compute SS,variance and the standard deviation for the following sample of scores.​Scores: 3,6,1,6,5,3

Accepted Answer

SS = 20; s

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

A sample of n = 5 scores has ΣX = 20 and ΣX2 = 180.For this sample,what is the value of the sample standard deviation,s?​

Accepted Answer

A) 5​ 
B) 8 
C) 12 
D) 20 
A) 5​ 
B) 8 
C) 12 
D) 20

Question 14

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

Accepted Answer

A) True 
 B)False

Question 15

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

Accepted Answer

A) ​4 
B) ​5 
C) ​80 
D) ​100 
A) ​4 
B) ​5 
C) ​80 
D) ​100

Question 16

For each of the following samples: Sample #1: 1,0,3,6Sample #2: 1,3,5,4,7
a. Compute the mean.
b. Determine whether it would be better to use the computational or the definitional formula for SS.
c. Compute the SS.

Accepted Answer

a.For sample #1,M = 2.5.For sa

Question 17

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

Accepted Answer

A) ​s 
B) ​s2 
C) ​σ 
D) ​σ2 
A) ​s 
B) ​s2 
C) ​σ 
D) ​σ2

Question 18

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.​

Accepted Answer

A) ​smaller than 
B) ​larger than 
C) ​exactly equal to 
D) ​unrelated to 
A) ​smaller than 
B) ​larger than 
C) ​exactly equal to 
D) ​unrelated to

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

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.​

Accepted Answer

A) True 
 B)False

Without some correction,sample variability is said to be "biased." Define the term biased,and explain how this bias is corrected in the formula for sample variance.

A sample of n = 9 scores has a variance of s² = 144.What is the standard deviation for this sample?

In a population with a mean of μ = 40 and a standard deviation of σ = 8,a score of X = 46 would be an extreme value,far out in the tail of the distribution.

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

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

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 ____.

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

A population of N = 5 scores has SS = 20 and σ2 = 4.If the 5 scores were a sample,the value of SS would still be 20 but the variance would be s² = 5.

There is a six-point difference between two sample means.If the two samples have the same variance,then which of the following values for the variance would make the mean difference easiest to see in a graph showing the two distributions.

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

Using the definitional formula,compute SS,variance and the standard deviation for the following sample of scores.Scores: 3,6,1,6,5,3

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

A sample of n = 5 scores has ΣX = 20 and ΣX² = 180.For this sample,what is the value of the sample standard deviation,s?

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

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

For each of the following samples: Sample #1: 1,0,3,6Sample #2: 1,3,5,4,7 a. Compute the mean. b. Determine whether it would be better to use the computational or the definitional formula for SS. c. Compute the SS.

Which of the following symbols identifies the population standard deviation?

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.

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

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.

Introduction to Statistics

Frequency Distributions

Central Tendency

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

Exam 4: Variability

Without some correction,sample variability is said to be "biased." Define the term biased,and explain how this bias is corrected in the formula for sample variance.​

A sample of n = 9 scores has a variance of s2 = 144.What is the standard deviation for this sample?​

In a population with a mean of μ = 40 and a standard deviation of σ = 8,a score of X = 46 would be an extreme value,far out in the tail of the distribution.​

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​

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

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 ____.​

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

A population of N = 5 scores has SS = 20 and σ2 = 4.If the 5 scores were a sample,the value of SS would still be 20 but the variance would be s2 = 5.​

There is a six-point difference between two sample means.If the two samples have the same variance,then which of the following values for the variance would make the mean difference easiest to see in a graph showing the two distributions.​

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

Using the definitional formula,compute SS,variance and the standard deviation for the following sample of scores.​Scores: 3,6,1,6,5,3

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

A sample of n = 5 scores has ΣX = 20 and ΣX2 = 180.For this sample,what is the value of the sample standard deviation,s?​

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

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

For each of the following samples: Sample #1: 1,0,3,6Sample #2: 1,3,5,4,7 a. Compute the mean. b. Determine whether it would be better to use the computational or the definitional formula for SS. c. Compute the SS.

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

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.​

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

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.​

Introduction to Statistics

Frequency Distributions

Central Tendency

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

Without some correction,sample variability is said to be "biased." Define the term biased,and explain how this bias is corrected in the formula for sample variance.

A sample of n = 9 scores has a variance of s² = 144.What is the standard deviation for this sample?

In a population with a mean of μ = 40 and a standard deviation of σ = 8,a score of X = 46 would be an extreme value,far out in the tail of the distribution.

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

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

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 ____.

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

A population of N = 5 scores has SS = 20 and σ2 = 4.If the 5 scores were a sample,the value of SS would still be 20 but the variance would be s² = 5.

There is a six-point difference between two sample means.If the two samples have the same variance,then which of the following values for the variance would make the mean difference easiest to see in a graph showing the two distributions.

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

Using the definitional formula,compute SS,variance and the standard deviation for the following sample of scores.Scores: 3,6,1,6,5,3

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

A sample of n = 5 scores has ΣX = 20 and ΣX² = 180.For this sample,what is the value of the sample standard deviation,s?

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

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

Which of the following symbols identifies the population standard deviation?

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.

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

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.