Question 1

What is the purpose of the critical value?

Accepted Answer

A) To determine the size of the region of rejection. 
B) To determine the maximum allowable population standard deviation 
C) To determine the likelihood that the population mean was obtained by chance 
D) To determine the value of z needed to conclude that the population mean was obtained by chance 
A) To determine the size of the region of rejection. 
B) To determine the maximum allowable population standard deviation 
C) To determine the likelihood that the population mean was obtained by chance 
D) To determine the value of z needed to conclude that the population mean was obtained by chance A

Question 2

Suppose you select a candy from a jar with 6 red and 4 green candies.You draw out a red candy,unwrap it,and eat it.You then select a second candy from the jar.What is the probability you draw out a green candy this time?

Accepted Answer

A) 0.44 
B) 0.40 
C) 0.60 
D) 0.56 
A) 0.44 
B) 0.40 
C) 0.60 
D) 0.56 A

Question 3

Which of the following is correct regarding means that fall within the region of rejection when the critical values are   ?

Accepted Answer

A) It is likely they represent the population under study. 
B) They have a high relative frequency. 
C) They occur with a probability of 95%. 
D) They occur with a probability of 5%. 
A) It is likely they represent the population under study. 
B) They have a high relative frequency. 
C) They occur with a probability of 95%. 
D) They occur with a probability of 5%. D

Question 4

Which of the following accurately describes an empirical probability distribution? It is based on

Accepted Answer

A) a theoretical model of the relative frequency of events in a population. 
B) the assumption the relative frequencies from observed samples represent those in the population. 
C) determining the relative frequencies of all events in a population. 
D) determining the relative frequencies of all events in a sampling distribution. 
A) a theoretical model of the relative frequency of events in a population. 
B) the assumption the relative frequencies from observed samples represent those in the population. 
C) determining the relative frequencies of all events in a population. 
D) determining the relative frequencies of all events in a sampling distribution.

Question 5

If the probability of getting a z-score between the mean and +1 standard deviation is 0.3413,what is the probability of getting a z-score of +1 standard deviation or less?

Accepted Answer

A) 0.3413 
B) 0.1587 
C) 0.6587 
D) 0.8413 
A) 0.3413 
B) 0.1587 
C) 0.6587 
D) 0.8413

Question 6

_____ occurs when random chance produces a sample statistic that is not equal to the population parameter it represents.

Accepted Answer

A) Random sampling 
B) Sampling error 
C) Criterion probability 
D) Sampling replacement 
A) Random sampling 
B) Sampling error 
C) Criterion probability 
D) Sampling replacement

Question 7

An event's relative frequency in the population equals

Accepted Answer

A) 100%. 
B) the average number of times an event occurs in the population. 
C) the odds of the event. 
D) the probability of the event. 
A) 100%. 
B) the average number of times an event occurs in the population. 
C) the odds of the event. 
D) the probability of the event.

Question 8

A study about the college aptitude of seniors at South City High School has resulted in a sample mean with a corresponding z-score of +1.89.If the critical value for the region of rejection is   ,what is the correct conclusion?

Accepted Answer

A) Since the z-value falls within the region of rejection,we should conclude this sample mean likely represents some other population. 
B) Since the z-value does not fall within the region of rejection,we should not conclude this sample mean represents some other population. 
C) Since the z-value falls within the region of rejection,we should not conclude this sample mean represents some other population. 
D) Since the z-value does not fall within the region of rejection,we should conclude this sample mean likely represents some other population. 
A) Since the z-value falls within the region of rejection,we should conclude this sample mean likely represents some other population. 
B) Since the z-value does not fall within the region of rejection,we should not conclude this sample mean represents some other population. 
C) Since the z-value falls within the region of rejection,we should not conclude this sample mean represents some other population. 
D) Since the z-value does not fall within the region of rejection,we should conclude this sample mean likely represents some other population.

Question 9

Which of the following accurately describes a theoretical probability distribution? It is based on

Accepted Answer

A) a theoretical model of the relative frequency of events in a population. 
B) a theoretical model of the relative frequency of events in a sample. 
C) the assumption the relative frequencies from observed samples represent those in the population. 
D) determining the relative frequencies of some of the events in a sampling distribution. 
A) a theoretical model of the relative frequency of events in a population. 
B) a theoretical model of the relative frequency of events in a sample. 
C) the assumption the relative frequencies from observed samples represent those in the population. 
D) determining the relative frequencies of some of the events in a sampling distribution.

Question 10

When +1.645 is used as the critical value instead of ±1.96,

Accepted Answer

A) the total probability of the region of rejection is decreased. 
B) the total probability of the region of rejection is increased. 
C) the region of rejection is all placed in the positive tail. 
D) the region of rejection is all placed in the negative tail. 
A) the total probability of the region of rejection is decreased. 
B) the total probability of the region of rejection is increased. 
C) the region of rejection is all placed in the positive tail. 
D) the region of rejection is all placed in the negative tail.

Question 11

Suppose you select a candy from a jar with 6 red and 4 green candies,note its color,and then replace it ten times.Each time,the candy you have selected has been green.What is the probability that on the next drawing you will select a red candy?

Accepted Answer

A) 1.0 
B) 0.48 
C) 0.90 
D) 0.60 
A) 1.0 
B) 0.48 
C) 0.90 
D) 0.60

Question 12

Suppose you drew a random sample from a population where the mean is 100.The standard error of the sampling distribution is 10.The mean for your sample is 80.What could you conclude about your sample?

Accepted Answer

A) The sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population. 
B) The sample mean occurs very often by chance in the sampling distribution of means and probably did not come from the given population. 
C) The sample mean does not occur very often by chance in the sampling distribution of means but probably did come from the given population. 
D) The sample mean occurs very often by chance in the sampling distribution of means and probably did come from the given population. 
A) The sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population. 
B) The sample mean occurs very often by chance in the sampling distribution of means and probably did not come from the given population. 
C) The sample mean does not occur very often by chance in the sampling distribution of means but probably did come from the given population. 
D) The sample mean occurs very often by chance in the sampling distribution of means and probably did come from the given population.

Question 13

What can you conclude about a sample mean that falls within the region of rejection?

Accepted Answer

A) The sample probably represents some population other than the one on which the sampling distribution was based. 
B) The sample represents the population on which the sampling distribution was based. 
C) Another sample needs to be collected. 
D) The sample should have come from the given population. 
A) The sample probably represents some population other than the one on which the sampling distribution was based. 
B) The sample represents the population on which the sampling distribution was based. 
C) Another sample needs to be collected. 
D) The sample should have come from the given population.

Question 14

Suppose you drew a random sample from a population where the mean is 100.The standard error of the sampling distribution is 10.The mean for your sample is 110.What could you conclude about your sample?

Accepted Answer

A) The sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population. 
B) The sample mean occurs quite often by chance in the sampling distribution of means and probably did not come from the given population. 
C) The sample mean does not occur very often by chance in the sampling distribution of means but probably did come from the given population. 
D) The sample mean occurs very often by chance in the sampling distribution of means and probably did come from the given population. 
A) The sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population. 
B) The sample mean occurs quite often by chance in the sampling distribution of means and probably did not come from the given population. 
C) The sample mean does not occur very often by chance in the sampling distribution of means but probably did come from the given population. 
D) The sample mean occurs very often by chance in the sampling distribution of means and probably did come from the given population.

Question 15

On a roll of a die,the probability that 3 or more dots will appear on the top side is 0.67,and the probability that 2 or fewer dots will appear is 0.33.If we know that 6 dots showed up on the last throw,what is the probability that 2 or 1 will show up on the next throw?

Accepted Answer

A) 1.00 
B) 0.83 
C) 0.33 
D) 0.17 
A) 1.00 
B) 0.83 
C) 0.33 
D) 0.17

Question 16

The probability of getting heads on a fair coin is 0.50.The probability of getting tails is also 0.50.If you toss the coin three times and get heads all three times,what is the probability of getting tails on the next toss?

Accepted Answer

A) 0.25 
B) 0.75 
C) 0.50 
D) 0.30 
A) 0.25 
B) 0.75 
C) 0.50 
D) 0.30

Question 17

If we decide to reject the idea that a sample represents a particular population,because the sample mean lies within the region of rejection,

Accepted Answer

A) although the probability is low,our decision may be wrong. 
B) the probability is high that our decision is wrong. 
C) we cannot know the probability of our decision being wrong. 
D) the probability of our decision being correct is 0.05. 
A) although the probability is low,our decision may be wrong. 
B) the probability is high that our decision is wrong. 
C) we cannot know the probability of our decision being wrong. 
D) the probability of our decision being correct is 0.05.

Question 18

How can we determine the representativeness of a sample mean for a particular population?

Accepted Answer

A) Draw a graph and compare the heights of the bars representing the population and sample means. 
B) Convert the sample mean to a z-score and compare the z-score to the critical value. 
C) Compare the sample mean to the population mean and compare the difference to the criterion. 
D) Compare the sample mean to the population standard deviation and look up its probability. 
A) Draw a graph and compare the heights of the bars representing the population and sample means. 
B) Convert the sample mean to a z-score and compare the z-score to the critical value. 
C) Compare the sample mean to the population mean and compare the difference to the criterion. 
D) Compare the sample mean to the population standard deviation and look up its probability.

Question 19

When we select a sample so that all elements in the population have an equal chance of being selected,we are using

Accepted Answer

A) inferential statistics. 
B) random sampling. 
C) probability. 
D) dependent events. 
A) inferential statistics. 
B) random sampling. 
C) probability. 
D) dependent events.

Question 20

The scores that lie in the tails of a normal distribution have a _____ frequency and a _____ probability of occurring.

Accepted Answer

A) high;high 
B) low;high 
C) high;low 
D) low;low 
A) high;high 
B) low;high 
C) high;low 
D) low;low

What is the purpose of the critical value?

Suppose you select a candy from a jar with 6 red and 4 green candies.You draw out a red candy,unwrap it,and eat it.You then select a second candy from the jar.What is the probability you draw out a green candy this time?

Which of the following is correct regarding means that fall within the region of rejection when the critical values are ?

Which of the following accurately describes an empirical probability distribution? It is based on

If the probability of getting a z-score between the mean and +1 standard deviation is 0.3413,what is the probability of getting a z-score of +1 standard deviation or less?

_____ occurs when random chance produces a sample statistic that is not equal to the population parameter it represents.

An event's relative frequency in the population equals

A study about the college aptitude of seniors at South City High School has resulted in a sample mean with a corresponding z-score of +1.89.If the critical value for the region of rejection is ,what is the correct conclusion?

Which of the following accurately describes a theoretical probability distribution? It is based on

When +1.645 is used as the critical value instead of ±1.96,

Suppose you select a candy from a jar with 6 red and 4 green candies,note its color,and then replace it ten times.Each time,the candy you have selected has been green.What is the probability that on the next drawing you will select a red candy?

Suppose you drew a random sample from a population where the mean is 100.The standard error of the sampling distribution is 10.The mean for your sample is 80.What could you conclude about your sample?

What can you conclude about a sample mean that falls within the region of rejection?

Suppose you drew a random sample from a population where the mean is 100.The standard error of the sampling distribution is 10.The mean for your sample is 110.What could you conclude about your sample?

On a roll of a die,the probability that 3 or more dots will appear on the top side is 0.67,and the probability that 2 or fewer dots will appear is 0.33.If we know that 6 dots showed up on the last throw,what is the probability that 2 or 1 will show up on the next throw?

The probability of getting heads on a fair coin is 0.50.The probability of getting tails is also 0.50.If you toss the coin three times and get heads all three times,what is the probability of getting tails on the next toss?

If we decide to reject the idea that a sample represents a particular population,because the sample mean lies within the region of rejection,

How can we determine the representativeness of a sample mean for a particular population?

When we select a sample so that all elements in the population have an equal chance of being selected,we are using

The scores that lie in the tails of a normal distribution have a _ frequency and a _ probability of occurring.

Introduction to Statistics

Statistics and the Research Process

Frequency Distributions and Percentiles

Measures of Central Tendency;the Mean, median, and Mode

Measures of Variability: Range, variance, and Standard Deviation

Z-Scores and the Normal Curve

The Correlation Coefficient

Linear Regression

Introduction to Hypothesis Testing

Performing the One-Sample T-Test and Testing Correlation Coefficients

The Two-Sample T-Test

The One-Way Analysis of Variance

The Two-Way Analysis of Variance

Chi Square and Other Nonparametric Procedures

Filters

Exam 9: Using Probability to Make Decisions About Data

What is the purpose of the critical value?

Suppose you select a candy from a jar with 6 red and 4 green candies.You draw out a red candy,unwrap it,and eat it.You then select a second candy from the jar.What is the probability you draw out a green candy this time?

Which of the following is correct regarding means that fall within the region of rejection when the critical values are ?

Which of the following accurately describes an empirical probability distribution? It is based on

If the probability of getting a z-score between the mean and +1 standard deviation is 0.3413,what is the probability of getting a z-score of +1 standard deviation or less?

_____ occurs when random chance produces a sample statistic that is not equal to the population parameter it represents.

An event's relative frequency in the population equals

A study about the college aptitude of seniors at South City High School has resulted in a sample mean with a corresponding z-score of +1.89.If the critical value for the region of rejection is ,what is the correct conclusion?

Which of the following accurately describes a theoretical probability distribution? It is based on

When +1.645 is used as the critical value instead of ±1.96,

Suppose you select a candy from a jar with 6 red and 4 green candies,note its color,and then replace it ten times.Each time,the candy you have selected has been green.What is the probability that on the next drawing you will select a red candy?

Suppose you drew a random sample from a population where the mean is 100.The standard error of the sampling distribution is 10.The mean for your sample is 80.What could you conclude about your sample?

What can you conclude about a sample mean that falls within the region of rejection?

Suppose you drew a random sample from a population where the mean is 100.The standard error of the sampling distribution is 10.The mean for your sample is 110.What could you conclude about your sample?

On a roll of a die,the probability that 3 or more dots will appear on the top side is 0.67,and the probability that 2 or fewer dots will appear is 0.33.If we know that 6 dots showed up on the last throw,what is the probability that 2 or 1 will show up on the next throw?

The probability of getting heads on a fair coin is 0.50.The probability of getting tails is also 0.50.If you toss the coin three times and get heads all three times,what is the probability of getting tails on the next toss?

If we decide to reject the idea that a sample represents a particular population,because the sample mean lies within the region of rejection,

How can we determine the representativeness of a sample mean for a particular population?

When we select a sample so that all elements in the population have an equal chance of being selected,we are using

The scores that lie in the tails of a normal distribution have a _____ frequency and a _____ probability of occurring.

Introduction to Statistics

Statistics and the Research Process

Frequency Distributions and Percentiles

Measures of Central Tendency;the Mean, median, and Mode

Measures of Variability: Range, variance, and Standard Deviation

Z-Scores and the Normal Curve

The Correlation Coefficient

Linear Regression

Introduction to Hypothesis Testing

Performing the One-Sample T-Test and Testing Correlation Coefficients

The Two-Sample T-Test

The One-Way Analysis of Variance

The Two-Way Analysis of Variance

Chi Square and Other Nonparametric Procedures

Filters

The scores that lie in the tails of a normal distribution have a _ frequency and a _ probability of occurring.