Question 1

The spread of the sampling distribution of   is ____________ the spread of the corresponding population distribution sampling distribution.

Accepted Answer

A) Larger than 
B) Smaller than 
C) The same as 
D) Exactly ½ 
A) Larger than 
B) Smaller than 
C) The same as 
D) Exactly ½

Question 2

If we have a sample size of 100 and the estimate of the population proportion is .10,the mean of the sampling distribution of the sample proportion is:

Accepted Answer

A) 0.0009 
B) 0.10 
C) 0.03 
D) 0.90 
E) 0.09 
A) 0.0009 
B) 0.10 
C) 0.03 
D) 0.90 
E) 0.09

Question 3

A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of   is a normal distribution,when the estimate of the population proportion is .995.

Accepted Answer

A) True 
 B)False

Question 4

The _______________________ of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

Accepted Answer

A) Sample mean 
B) Sampling distribution 
C) Probability 
D) Observations 
A) Sample mean 
B) Sampling distribution 
C) Probability 
D) Observations

Question 5

A random sample of size 1,000 is taken from a population where p = .20.What is (   )?

Accepted Answer

A) .0051 
B) .03162 
C) .01414 
D) .01265 
A) .0051 
B) .03162 
C) .01414 
D) .01265

Question 6

It has been reported that the average time to download the home page from a government website was 0.9 seconds.Suppose that the download times were normally distributed with a standard deviation of 0.3 seconds.If random samples of 23 download times are selected describe the shape of the sampling distribution and how it was determined.

Accepted Answer

A) Normal,size of sample meets the Central Limit Theorem requirement 
B) Normal,the original population is normal 
C) Skewed,the original population is not a normal distribution 
D) Cannot be determined with the information that is given 
A) Normal,size of sample meets the Central Limit Theorem requirement 
B) Normal,the original population is normal 
C) Skewed,the original population is not a normal distribution 
D) Cannot be determined with the information that is given

Question 7

The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

Accepted Answer

A) True 
 B)False

Question 8

The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches.Suppose a random sample of 20 balls is selected.Calculate the standard deviation of the sampling distribution of the sample mean.

Accepted Answer

A) 5.2 
B) 0.018 
C) 0.08 
D) 0.063 
A) 5.2 
B) 0.018 
C) 0.08 
D) 0.063

Question 9

The population of lengths of aluminum - coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches.What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long?

Accepted Answer

A) .8413 
B) .6293 
C) .3707 
D) .1587 
A) .8413 
B) .6293 
C) .3707 
D) .1587

Question 10

The College Student Journal (December 1992)investigated differences in traditional and nontraditional students,where nontraditional students are defined as 25 years or older and working.Based on the study results,we can assume the population mean and standard deviation for the GPA of nontraditional students is µ = 3.5 and  $\sigma$ = 0.5.Suppose a random sample of 100 nontraditional students is selected and each student's GPA is calculated.What is   ?

Accepted Answer

A) 0.5 
B) 3.5 
C) 7.0 
D) 0.05 
A) 0.5 
B) 3.5 
C) 7.0 
D) 0.05

Question 11

In order to select a stratified random sample,we divide the population into overlapping groups of similar elements.

Accepted Answer

A) True 
 B)False

Question 12

_____ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

Accepted Answer

A) Cluster sampling 
B) Sampling error 
C) Sampling distribution of the mean 
D) Central Limit Theorem 
A) Cluster sampling 
B) Sampling error 
C) Sampling distribution of the mean 
D) Central Limit Theorem

Question 13

Whenever the population has a normal distribution,the sampling distribution of   is normal or near normal distribution:

Accepted Answer

A) For only large sample sizes 
B) For only small sample sizes 
C) For any sample size 
D) For only samples of size 30 or more 
A) For only large sample sizes 
B) For only small sample sizes 
C) For any sample size 
D) For only samples of size 30 or more

Question 14

For non-normal populations,as the sample size (n)___________________,the distribution of sample means approaches a(n)________________ distribution.

Accepted Answer

A) Decreases,Uniform 
B) Increases,Normal 
C) Decreases,Normal 
D) Increases,Uniform 
E) Increases,Exponential 
A) Decreases,Uniform 
B) Increases,Normal 
C) Decreases,Normal 
D) Increases,Uniform 
E) Increases,Exponential

Question 15

It has been reported that the average time to download the home page from a government website was 0.9 seconds.Suppose that the download times were normally distributed with a standard deviation of 0.3 seconds.If random samples of 36 download times are selected 80% of the sample means will be between what two values symmetrically distributed around the population mean.

Accepted Answer

A) [.648 1.152] 
B) [.836 .964] 
C) [.514 1.280] 
D) [.858 .942] 
A) [.648 1.152] 
B) [.836 .964] 
C) [.514 1.280] 
D) [.858 .942]

Question 16

In a manufacturing process a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process: What is the probability the mean length of the bolt is at most 3.1 inches?

Accepted Answer

A) 84.13% 
B) 100 % 
C) 71.57 % 
D) 28.43 % 
E) 15.87 % 
A) 84.13% 
B) 100 % 
C) 71.57 % 
D) 28.43 % 
E) 15.87 %

Question 17

Consider a sampling distribution formed based on n = 3.The standard deviation of the population of all sample means   is ______________ less than the standard deviation of the population of individual measurements  $\sigma$.

Accepted Answer

A) Always 
B) Sometimes 
C) Never 
A) Always 
B) Sometimes 
C) Never

Question 18

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that randomly selected 4 sheets will have an average length of less than 29.9 inches long?

Accepted Answer

A) 0668 
B) 9332 
C) 0014 
D) 4404 
A) 0668 
B) 9332 
C) 0014 
D) 4404

Question 19

In the upcoming governor's election,the most recent poll based on 900 respondents predicts that the incumbent will be reelected with 55% of the votes.What is   ?

Accepted Answer

A) .00825 
B) .0166 
C) .0247 
D) .0003 
A) .00825 
B) .0166 
C) .0247 
D) .0003

Question 20

The mean of the sampling distribution of   is always equal to the mean of the sampled population.

Accepted Answer

A) True 
 B)False

The spread of the sampling distribution of is ____________ the spread of the corresponding population distribution sampling distribution.

If we have a sample size of 100 and the estimate of the population proportion is .10,the mean of the sampling distribution of the sample proportion is:

A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of is a normal distribution,when the estimate of the population proportion is .995.

The _______________________ of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

A random sample of size 1,000 is taken from a population where p = .20.What is ( )?

The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

The population of lengths of aluminum - coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches.What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long?

In order to select a stratified random sample,we divide the population into overlapping groups of similar elements.

_____ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

Whenever the population has a normal distribution,the sampling distribution of is normal or near normal distribution:

For non-normal populations,as the sample size (n)___,the distribution of sample means approaches a(n) distribution.

In a manufacturing process a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process: What is the probability the mean length of the bolt is at most 3.1 inches?

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that randomly selected 4 sheets will have an average length of less than 29.9 inches long?

In the upcoming governor's election,the most recent poll based on 900 respondents predicts that the incumbent will be reelected with 55% of the votes.What is ?

The mean of the sampling distribution of is always equal to the mean of the sampled population.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 7: Sampling and Sampling Distributions

The spread of the sampling distribution of is ____________ the spread of the corresponding population distribution sampling distribution.

If we have a sample size of 100 and the estimate of the population proportion is .10,the mean of the sampling distribution of the sample proportion is:

A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of is a normal distribution,when the estimate of the population proportion is .995.

The _______________________ of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

A random sample of size 1,000 is taken from a population where p = .20.What is ( )?

The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

The population of lengths of aluminum - coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches.What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long?

In order to select a stratified random sample,we divide the population into overlapping groups of similar elements.

_____ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

Whenever the population has a normal distribution,the sampling distribution of is normal or near normal distribution:

For non-normal populations,as the sample size (n)___________________,the distribution of sample means approaches a(n)________________ distribution.

In a manufacturing process a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process: What is the probability the mean length of the bolt is at most 3.1 inches?

Consider a sampling distribution formed based on n = 3.The standard deviation of the population of all sample means is ______________ less than the standard deviation of the population of individual measurements σ\sigmaσ .

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that randomly selected 4 sheets will have an average length of less than 29.9 inches long?

In the upcoming governor's election,the most recent poll based on 900 respondents predicts that the incumbent will be reelected with 55% of the votes.What is ?

The mean of the sampling distribution of is always equal to the mean of the sampled population.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

For non-normal populations,as the sample size (n)___,the distribution of sample means approaches a(n) distribution.