Question 1

What do $\left(S_{X}^{2}\right)$ , $\left(s_{X}^{2}\right)$ , and $\left(\sigma_{X}^{2}\right)$ have in common?

Accepted Answer

A) All are forms of standardized variance. 
B) All are forms of standard deviation. 
C) All are forms of variance. 
D) All represent the location of a set of scores. 
A) All are forms of standardized variance. 
B) All are forms of standard deviation. 
C) All are forms of variance. 
D) All represent the location of a set of scores. C

Question 2

Find $S_{X}^{2}$ for the following data set.
8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7

Accepted Answer

4.30

Question 3

Find $s_{X}$ for the scores in the following frequency distribution.

Accepted Answer

1.63

Question 4

Which of the following studies shows the strongest relationship between the independent and dependent variables?

Accepted Answer

A) Study A 
B) Study B 
C) Study C 
D) Study D 
A) Study A 
B) Study B 
C) Study C 
D) Study D

Question 5

A group of 10 students participated in a study of nutritional awareness.What is the estimated population standard deviation $\left(s_{X}\right)$ ?
20, 19, 22, 20, 15, 18, 15, 21, 19, 20

Accepted Answer

The answer of A group of 10 students participated in...

Question 6

Find and $S_{X}^{2}$ $S_{X}$ for the following distribution.

Accepted Answer

The answer of Find and $S_{X}^{2}$ $S_{X}$ for the following...

Question 7

For the following data set, find $S_{X}^{2}$ and $S_{X}^{2}$ .Explain why $S_{X}^{2}$ is a larger value.Score f
37 2
36 4
35 8
34 3
33 1
32 8
31 3
30 1

Accepted Answer

= 3.86 @#LAT-DLM&
@#LAT-DLM&
@#LAT-DLM& = 4.00
is larger bec

Question 8

Measures of variability are used to

Accepted Answer

A) summarize and describe the extent to which scores in a distribution differ from one another. 
B) summarize and describe the extent to which scores in a distribution differ from the extreme scores. 
C) make appropriate decisions regarding graph size, shape, and style. 
D) summarize and describe measures of central tendency. 
A) summarize and describe the extent to which scores in a distribution differ from one another. 
B) summarize and describe the extent to which scores in a distribution differ from the extreme scores. 
C) make appropriate decisions regarding graph size, shape, and style. 
D) summarize and describe measures of central tendency.

Question 9

What is wrong with the following formula?
$S_{X}^{2}=\sqrt{\frac{\sum X^{2}-\frac{(\Sigma X)^{2}}{N}}{N}}$

Accepted Answer

A) The symbol $S_{X}^{2}$ indicates the sample variance, but the formula indicates the sample standard deviation. 
B) The symbol $S_{X}^{2}$ indicates the estimated population variance, but the formula indicates the estimated population standard deviation. 
C) The symbol $S_{X}^{2}$ indicates the sample variance, but the formula indicates the estimated population variance. 
D) There is nothing wrong with the formula. 
A) The symbol $S_{X}^{2}$ indicates the sample variance, but the formula indicates the sample standard deviation. 
B) The symbol $S_{X}^{2}$ indicates the estimated population variance, but the formula indicates the estimated population standard deviation. 
C) The symbol $S_{X}^{2}$ indicates the sample variance, but the formula indicates the estimated population variance. 
D) There is nothing wrong with the formula.

Question 10

Suppose you have the following scores: 4, 3, 5, 5, and 2.What is the sum of squared Xs?

Accepted Answer

Suppose you have the following scores: 4

Question 11

Standard deviation is defined as the square root of the

Accepted Answer

A) average of the deviations around the mean. 
B) average of the squared deviations around the mean. 
C) sum of the deviations around the mean. 
D) sum of the squared deviations around the mean. 
A) average of the deviations around the mean. 
B) average of the squared deviations around the mean. 
C) sum of the deviations around the mean. 
D) sum of the squared deviations around the mean.

Question 12

Suppose we compute $S_{X}$ and find it is equal to 5.5.How do we interpret this number?

Accepted Answer

A) The numbers in the sample deviate, on the average, 5.5 units from one another. 
B) The numbers in the sample deviate, on the average, 5.5 units from the two extreme scores. 
C) The numbers in the sample deviate, on the average, 5.5 units from the mean. 
D) The numbers in the sample deviate no more than 2.25 units from the mean. 
A) The numbers in the sample deviate, on the average, 5.5 units from one another. 
B) The numbers in the sample deviate, on the average, 5.5 units from the two extreme scores. 
C) The numbers in the sample deviate, on the average, 5.5 units from the mean. 
D) The numbers in the sample deviate no more than 2.25 units from the mean.

Question 13

Variance is defined as the

Accepted Answer

A) average of the deviations around the mean. 
B) average of the squared deviations around the mean. 
C) sum of the deviations around the mean, squared. 
D) sum of the squared deviations around the mean. 
A) average of the deviations around the mean. 
B) average of the squared deviations around the mean. 
C) sum of the deviations around the mean, squared. 
D) sum of the squared deviations around the mean.

Question 14

The Red Cross wanted to know whether an ad campaign designed to persuade people to donate blood actually increased blood donations.For a sample of N = 4 blood donation centers, the mean increase in blood donations was 10 pints, with a standard deviation of 2 pints.What would you estimate the population standard deviation to be?

Accepted Answer

The answer of The Red Cross wanted to know whether...

Question 15

A program evaluator for a large school district wants to know how much intelligence varies in the elementary schools.She selects one classroom at each grade level in each elementary school and administers an intelligence test to the children in those classrooms.If the program evaluator wants to find out which school has the highest intelligence level, which of the following should she calculate for each school?

Accepted Answer

A) The variance 
B) The standard deviation 
C) The sum of the deviations 
D) The mean 
A) The variance 
B) The standard deviation 
C) The sum of the deviations 
D) The mean

Question 16

Identify the basic difference between the formulas for the computing estimated population standard deviation and sample standard deviation.

Accepted Answer

The key difference is that den

Question 17

How would a mean of 28.75 and a standard deviation of 3.22 likely be reported in a journal following APA format?

Accepted Answer

M =2 8.75,

Question 18

The greater the variability in a set of scores,

Accepted Answer

A) the less accurately the scores are represented by one central score. 
B) the more accurately the scores are represented by one central score. 
C) the more similar and consistently close they are to the central score. 
D) the less similar and more consistently close they are to the central score. 
A) the less accurately the scores are represented by one central score. 
B) the more accurately the scores are represented by one central score. 
C) the more similar and consistently close they are to the central score. 
D) the less similar and more consistently close they are to the central score.

Question 19

If the variance for a sample is computed and it is found to be rather large, the scores

Accepted Answer

A) are tightly packed around the mode. 
B) are tightly packed around the mean. 
C) are spread out around the mean. 
D) in the sample are close to one another. 
A) are tightly packed around the mode. 
B) are tightly packed around the mean. 
C) are spread out around the mean. 
D) in the sample are close to one another.

Question 20

When computing the variance, why do we square the deviations from the mean?

Accepted Answer

A) To return the units of measure to their original form 
B) To compensate for the fact that the number of degrees of freedom is different from N 
C) To transform the raw scores into squared scores 
D) To compensate for the fact deviations about the mean always sum to zero 
A) To return the units of measure to their original form 
B) To compensate for the fact that the number of degrees of freedom is different from N 
C) To transform the raw scores into squared scores 
D) To compensate for the fact deviations about the mean always sum to zero

What do $\left(S_{X}^{2}\right)$ , $\left(s_{X}^{2}\right)$ , and $\left(\sigma_{X}^{2}\right)$ have in common?

Find $S_{X}^{2}$ for the following data set. 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7

Find $s_{X}$ for the scores in the following frequency distribution. $Find s_{X} for the scores in the following frequency distribution.$

Which of the following studies shows the strongest relationship between the independent and dependent variables?

A group of 10 students participated in a study of nutritional awareness.What is the estimated population standard deviation $\left(s_{X}\right)$ ? 20, 19, 22, 20, 15, 18, 15, 21, 19, 20

Find and $S_{X}^{2}$ $S_{X}$ for the following distribution. $Find and S_{X}^{2} S_{X} for the following distribution.$

For the following data set, find $S_{X}^{2}$ and $S_{X}^{2}$ .Explain why $S_{X}^{2}$ is a larger value.Score f 37 2 36 4 35 8 34 3 33 1 32 8 31 3 30 1

Measures of variability are used to

What is wrong with the following formula? $S_{X}^{2}=\sqrt{\frac{\sum X^{2}-\frac{(\Sigma X)^{2}}{N}}{N}}$

Suppose you have the following scores: 4, 3, 5, 5, and 2.What is the sum of squared Xs?

Standard deviation is defined as the square root of the

Suppose we compute $S_{X}$ and find it is equal to 5.5.How do we interpret this number?

Variance is defined as the

Identify the basic difference between the formulas for the computing estimated population standard deviation and sample standard deviation.

How would a mean of 28.75 and a standard deviation of 3.22 likely be reported in a journal following APA format?

The greater the variability in a set of scores,

If the variance for a sample is computed and it is found to be rather large, the scores

When computing the variance, why do we square the deviations from the mean?

Introduction to Statistics and Research

Creating and Using Frequency Distributions

Summarizing Scores With Measures of Central Tendency

Describing Data With Z-Scores and the Normal Curve

Using Probability to Make Decisions About Data

Overview of Statistical Hypothesis Testing: the Z-Test

Hypothesis Testing Using the One-Sample T-Test

Hypothesis Testing Using the Two-Sample T-Test

Describing Relationships Using Correlation and Regression

Hypothesis Testing Using the One-Way Analysis of Variance

Understanding the Two-Way Analysis of Variance

Chi Square and Nonparametric Procedures

Filters

Exam 4: Summarizing Scores With Measures of Variability

What do (SX2)\left(S_{X}^{2}\right)(SX2​) , (sX2)\left(s_{X}^{2}\right)(sX2​) , and (σX2)\left(\sigma_{X}^{2}\right)(σX2​) have in common?

Find SX2S_{X}^{2}SX2​ for the following data set. 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7

Find sXs_{X}sX​ for the scores in the following frequency distribution.

Which of the following studies shows the strongest relationship between the independent and dependent variables?

A group of 10 students participated in a study of nutritional awareness.What is the estimated population standard deviation (sX)\left(s_{X}\right)(sX​) ? 20, 19, 22, 20, 15, 18, 15, 21, 19, 20

Find and SX2S_{X}^{2}SX2​ SXS_{X}SX​ for the following distribution.

For the following data set, find SX2S_{X}^{2}SX2​ and SX2S_{X}^{2}SX2​ .Explain why SX2S_{X}^{2}SX2​ is a larger value.Score f 37 2 36 4 35 8 34 3 33 1 32 8 31 3 30 1

Measures of variability are used to

What is wrong with the following formula? SX2=∑X2−(ΣX)2NNS_{X}^{2}=\sqrt{\frac{\sum X^{2}-\frac{(\Sigma X)^{2}}{N}}{N}}SX2​=N∑X2−N(ΣX)2​​​

Suppose you have the following scores: 4, 3, 5, 5, and 2.What is the sum of squared Xs?

Standard deviation is defined as the square root of the

Suppose we compute SXS_{X}SX​ and find it is equal to 5.5.How do we interpret this number?

Variance is defined as the

Identify the basic difference between the formulas for the computing estimated population standard deviation and sample standard deviation.

How would a mean of 28.75 and a standard deviation of 3.22 likely be reported in a journal following APA format?

The greater the variability in a set of scores,

If the variance for a sample is computed and it is found to be rather large, the scores

When computing the variance, why do we square the deviations from the mean?

Introduction to Statistics and Research

Creating and Using Frequency Distributions

Summarizing Scores With Measures of Central Tendency

Describing Data With Z-Scores and the Normal Curve

Using Probability to Make Decisions About Data

Overview of Statistical Hypothesis Testing: the Z-Test

Hypothesis Testing Using the One-Sample T-Test

Hypothesis Testing Using the Two-Sample T-Test

Describing Relationships Using Correlation and Regression

Hypothesis Testing Using the One-Way Analysis of Variance

Understanding the Two-Way Analysis of Variance

Chi Square and Nonparametric Procedures

Filters

What do $\left(S_{X}^{2}\right)$ , $\left(s_{X}^{2}\right)$ , and $\left(\sigma_{X}^{2}\right)$ have in common?

Find $S_{X}^{2}$ for the following data set. 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7

Find $s_{X}$ for the scores in the following frequency distribution. $Find s_{X} for the scores in the following frequency distribution.$

A group of 10 students participated in a study of nutritional awareness.What is the estimated population standard deviation $\left(s_{X}\right)$ ? 20, 19, 22, 20, 15, 18, 15, 21, 19, 20

Find and $S_{X}^{2}$ $S_{X}$ for the following distribution. $Find and S_{X}^{2} S_{X} for the following distribution.$

For the following data set, find $S_{X}^{2}$ and $S_{X}^{2}$ .Explain why $S_{X}^{2}$ is a larger value.Score f 37 2 36 4 35 8 34 3 33 1 32 8 31 3 30 1

What is wrong with the following formula? $S_{X}^{2}=\sqrt{\frac{\sum X^{2}-\frac{(\Sigma X)^{2}}{N}}{N}}$

Suppose we compute $S_{X}$ and find it is equal to 5.5.How do we interpret this number?