Question 1

A random sample is defined by

Accepted Answer

A)  the method of selection 
B)  how closely it resembles the population 
C)  the outcome of selection 
D)  all of the above 
A)  the method of selection 
B)  how closely it resembles the population 
C)  the outcome of selection 
D)  all of the above A

Question 2

In statistical work, it is preferable to define a population as

Accepted Answer

A)  a set of objects 
B)  a set of people 
C)  a set of observations 
D)  any of the above 
A)  a set of objects 
B)  a set of people 
C)  a set of observations 
D)  any of the above C

Question 3

The Central Limit Theorem

Accepted Answer

A)  says that $\overline{X}$ approaches $\mu$ as sample size increases 
B)  says that S approaches $\sigma$ as sample size increases 
C)  says that both (a) and (b) will occur 
D)  refers to a matter other than those stated above 
A)  says that $\overline{X}$ approaches $\mu$ as sample size increases 
B)  says that S approaches $\sigma$ as sample size increases 
C)  says that both (a) and (b) will occur 
D)  refers to a matter other than those stated above D

Question 4

The fundamental condition that permits proper statistical inference is

Accepted Answer

A)  random sampling 
B)  normal distribution of scores 
C)  knowledge of the values of the parameters of the population 
D)  having a large sample 
A)  random sampling 
B)  normal distribution of scores 
C)  knowledge of the values of the parameters of the population 
D)  having a large sample

Question 5

In the following statement, which alternative is false? The characteristics of a random sample

Accepted Answer

A)  vary from sample to sample 
B)  vary less with larger samples 
C)  make statistical inference possible 
D)  duplicate those of the population if sampling is truly random 
A)  vary from sample to sample 
B)  vary less with larger samples 
C)  make statistical inference possible 
D)  duplicate those of the population if sampling is truly random

Question 6

A widely used IQ test for children is constructed to have a normal distribution with a mean of 100 and a standard deviation of 15 for children in a very, very large national sample. If a child is selected at random from the national sample, what is the probability that his or her IQ score will be 
(a) above 90
(b)between 90 and 110
(c)above 150
(d)The probability is .50 that the child's IQ score will be within (how many) IQ points of the mean (on either side)
(e)The probability is .10 that the child's IQ score will fall above what IQ score

Accepted Answer

(a).75
(b)

Question 7

A particular sampling distribution of the mean is based on means of

Accepted Answer

A)  all possible samples of the same size 
B)  n samples of the same size 
C)  all possible samples of all possible sizes 
D)  n samples of all possible sizes 
A)  all possible samples of the same size 
B)  n samples of the same size 
C)  all possible samples of all possible sizes 
D)  n samples of all possible sizes

Question 8

Each score in a random sampling distribution of the mean represents

Accepted Answer

A)  a single individual 
B)  a random data point 
C)  a standard score 
D)  a sample mean 
A)  a single individual 
B)  a random data point 
C)  a standard score 
D)  a sample mean

Question 9

A sampling distribution is

Accepted Answer

A)  a relative frequency distribution 
B)  a probability distribution 
C)  both of the above 
D)  neither of the above 
A)  a relative frequency distribution 
B)  a probability distribution 
C)  both of the above 
D)  neither of the above

Question 10

The standard error of the mean

Accepted Answer

A)  is given in terms of standard units 
B)  is a standard deviation 
C)  is larger for larger populations 
D)  is the average amount by which sample values are in error 
A)  is given in terms of standard units 
B)  is a standard deviation 
C)  is larger for larger populations 
D)  is the average amount by which sample values are in error

Question 11

Which is not a characteristic of the random sampling distribution of means?

Accepted Answer

A)  its mean is the same as the mean of the population of scores 
B)  its standard deviation is greater than that of the population of scores 
C)  it tends to resemble the normal curve irrespective of the shape of the population of scores 
D)  its standard deviation changes with variation in sample size 
A)  its mean is the same as the mean of the population of scores 
B)  its standard deviation is greater than that of the population of scores 
C)  it tends to resemble the normal curve irrespective of the shape of the population of scores 
D)  its standard deviation changes with variation in sample size

Question 12

From the formula for the standard error of the mean, it is apparent that variation among sample means will be decreased when

Accepted Answer

A)  variation among scores in the population is less 
B)  sample size is larger 
C)  either (or both) of the above occurs 
D)  sampling is done with replacement 
A)  variation among scores in the population is less 
B)  sample size is larger 
C)  either (or both) of the above occurs 
D)  sampling is done with replacement

Question 13

A basic aim of statistical inference is to form a conclusion about a

Accepted Answer

A)  sample 
B)  random sample 
C)  population 
D)  random population 
A)  sample 
B)  random sample 
C)  population 
D)  random population

Question 14

The difference between a distribution of sample scores and a sampling distribution is that the latter

Accepted Answer

A)  has characteristics specified by statistical theory 
B)  is a distribution of sample statistics 
C)  has a mean and standard deviation which can be known in advance 
D)  is characterized by all of the above, while the former is not 
A)  has characteristics specified by statistical theory 
B)  is a distribution of sample statistics 
C)  has a mean and standard deviation which can be known in advance 
D)  is characterized by all of the above, while the former is not

Question 15

The standard deviation of the sampling distribution of means

Accepted Answer

A)  increases as sample size increases 
B)  increases as the mean of the population increases 
C)  increases as the standard deviation of the population decreases 
D)  none of the above is true 
A)  increases as sample size increases 
B)  increases as the mean of the population increases 
C)  increases as the standard deviation of the population decreases 
D)  none of the above is true

Question 16

Explain on an intuitive basis why the sampling distribution of means for 
   
 selected from a rectangular distribution has more cases in the middle than at the extremes.

Accepted Answer

In order to obtain an extremely low or e

Question 17

A sampling distribution is a distribution of

Accepted Answer

A)  scores obtained from samples 
B)  values of a statistic obtained from samples 
C)  values of a parameter obtained from samples 
D)  any of the above 
A)  scores obtained from samples 
B)  values of a statistic obtained from samples 
C)  values of a parameter obtained from samples 
D)  any of the above

Question 18

For a normally distributed population of observations,   
 
and 
   
 For a randomly selected sample of size 36, what is the probability that the sample mean 
(a) will fall above 91
(b)will fall more than 10 points above the population mean of 100
(c)will differ (in either direction) from the population mean by 10 points or more
(d)What sample mean has such a high value that the probability is .01 of obtaining one as high or higher
(e)Within what limits would the central 95% of all possible sample means fall

Accepted Answer

(a).96
(b)

Question 19

The mean of the sampling distribution of means

Accepted Answer

A)  increases as sample size increased 
B)  changes as the standard deviation of the population of scores is increased 
C)  changes from   
if the population is not normally distributed 
D)  is unaffected by any of the above 
A)  increases as sample size increased 
B)  changes as the standard deviation of the population of scores is increased 
C)  changes from   
if the population is not normally distributed 
D)  is unaffected by any of the above

Question 20

Which, if any, is not a characteristic of random sampling?

Accepted Answer

A)  whether a sample is random or not cannot be told from inspection of the sample 
B)  characteristics of a random sample may differ widely from characteristics of its population 
C)  a sample must be reasonably large to be considered a random sample 
D)  every element in the population must be given an equal chance for inclusion in the sample 
A)  whether a sample is random or not cannot be told from inspection of the sample 
B)  characteristics of a random sample may differ widely from characteristics of its population 
C)  a sample must be reasonably large to be considered a random sample 
D)  every element in the population must be given an equal chance for inclusion in the sample

A random sample is defined by

In statistical work, it is preferable to define a population as

The Central Limit Theorem

The fundamental condition that permits proper statistical inference is

In the following statement, which alternative is false? The characteristics of a random sample

A particular sampling distribution of the mean is based on means of

Each score in a random sampling distribution of the mean represents

A sampling distribution is

The standard error of the mean

Which is not a characteristic of the random sampling distribution of means?

From the formula for the standard error of the mean, it is apparent that variation among sample means will be decreased when

A basic aim of statistical inference is to form a conclusion about a

The difference between a distribution of sample scores and a sampling distribution is that the latter

The standard deviation of the sampling distribution of means

Explain on an intuitive basis why the sampling distribution of means for selected from a rectangular distribution has more cases in the middle than at the extremes.

A sampling distribution is a distribution of

The mean of the sampling distribution of means

Which, if any, is not a characteristic of random sampling?

Introduction

Frequency Distributions, Percentiles,

Graphic Representation of Frequency Distributions

Central Tendency

Variability and Standard Z Scores

Standard Scores and the Normal Curve

Correlation

Prediction

Interpretive Aspects of Correlation and Regression

Probability

Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power

Testing Hypotheses About the Difference Between Two Independent Groups

Testing for a Difference

Inference About Correlation Coefficients

An Alternative to Hypothesis Testing: Confidence Intervals

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

Factorial Analysis of Variance

Chi-Square and Inference About Frequencies

Some Almost Assumption-Free Tests

Filters

Exam 11: Random Sampling and Sampling Distributions

A random sample is defined by

In statistical work, it is preferable to define a population as

The Central Limit Theorem

The fundamental condition that permits proper statistical inference is

In the following statement, which alternative is false? The characteristics of a random sample

A particular sampling distribution of the mean is based on means of

Each score in a random sampling distribution of the mean represents

A sampling distribution is

The standard error of the mean

Which is not a characteristic of the random sampling distribution of means?

From the formula for the standard error of the mean, it is apparent that variation among sample means will be decreased when

A basic aim of statistical inference is to form a conclusion about a

The difference between a distribution of sample scores and a sampling distribution is that the latter

The standard deviation of the sampling distribution of means

Explain on an intuitive basis why the sampling distribution of means for selected from a rectangular distribution has more cases in the middle than at the extremes.

A sampling distribution is a distribution of

The mean of the sampling distribution of means

Which, if any, is not a characteristic of random sampling?

Introduction

Frequency Distributions, Percentiles,

Graphic Representation of Frequency Distributions

Central Tendency

Variability and Standard Z Scores

Standard Scores and the Normal Curve

Correlation

Prediction

Interpretive Aspects of Correlation and Regression

Probability

Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power

Testing Hypotheses About the Difference Between Two Independent Groups

Testing for a Difference

Inference About Correlation Coefficients

An Alternative to Hypothesis Testing: Confidence Intervals

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

Factorial Analysis of Variance

Chi-Square and Inference About Frequencies

Some Almost Assumption-Free Tests

Filters