Question 1

Which of the following statements is false regarding the Central Limit Theorem (CLT) of the sample proportion   ?

Accepted Answer

A)  CLT indicates that the mean of the sampling distribution ofwill be equal to the population proportion p. 
B)  CLT indicates that the sampling distribution ofcan be approximated by a normal distribution if np > 5 and nq > 5. 
C)  CLT is applied regardless of the sample size n and the population proportion p. 
D)  CLT is applied to non-normal populations. 
E)  CLT indicates that the mean of the sampling distribution ofwill be equal to the population proportion p and CLT indicates that the sampling distribution ofcan be approximated by a normal distribution if np > 5 and nq > 5. 
A)  CLT indicates that the mean of the sampling distribution ofwill be equal to the population proportion p. 
B)  CLT indicates that the sampling distribution ofcan be approximated by a normal distribution if np > 5 and nq > 5. 
C)  CLT is applied regardless of the sample size n and the population proportion p. 
D)  CLT is applied to non-normal populations. 
E)  CLT indicates that the mean of the sampling distribution ofwill be equal to the population proportion p and CLT indicates that the sampling distribution ofcan be approximated by a normal distribution if np > 5 and nq > 5.

Question 2

A numerical descriptive measure calculated from the entire population is called:

Accepted Answer

A)  a parameter 
B)  a statistic 
C)  a sample 
D)  a sampling distribution 
E)  an estimator 
A)  a parameter 
B)  a statistic 
C)  a sample 
D)  a sampling distribution 
E)  an estimator

Question 3

The weight of baggage checked by airline passengers is a random variable with a mean of 50 pounds and a standard deviation of 30 pounds. The total baggage limit for 100 randomly selected passengers is 5,750 pounds.
What is the mean of the sampling distribution of the sum of the sample measurements?
______________
What is the standard deviation of the sampling distribution of the sum of the sample measurements?
______________
What is the approximate probability the baggage limit will be exceeded?
______________

Accepted Answer

The answer of The weight of baggage checked by airline...

Question 4

The total area under a probability density function curve is equal to 1.0.

Accepted Answer

A) True 
 B)False

Question 5

The distribution of the time that a battery pack for a laptop computer can function before requiring recharging is normal with a mean of 6 hours and standard deviation of 1.8 hours. A random sample of 25 laptops with this type of battery pack is selected and tested.
What is the probability that the mean time until recharging is necessary is at least 7 hours?
______________

Accepted Answer

The answer of The distribution of the time that a...

Question 6

If a process is in control, we expect all the data values to fall within one standard deviation of the mean.

Accepted Answer

A) True 
 B)False

Question 7

The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 adult males is selected.
Is the sampling distribution of the sample mean approximately normal?
______________
What is the mean?
______________
What is the standard deviation?
______________
Find the probability that the average height will be more than 70 inches.
______________
Find the probability that the average height will be between 67.4 inches and 70.5 inches, inclusively.
______________

Accepted Answer

yes; 69; 0

Question 8

Which of the following is a correct statement about the stratified random sample?

Accepted Answer

A)  It is useful when the frame or population to be sampled is known to contain two or more mutually exclusive and clearly distinguishable subgroups or strata that differ greatly from one another with respect to some characteristic of interest. 
B)  It is useful when the frame or population to be sampled is known to contain two or more mutually exclusive and clearly distinguishable subgroups or strata that are fairly homogeneous internally. 
C)  It is chosen by taking separate (simple or systematic) random samples from every stratum, often in such a way that the sizes of the separate samples vary with the importance of the different strata. 
D)  All of these are correct statements about this type of sample. 
E)  None of these are correct statements about this type of sample. 
A)  It is useful when the frame or population to be sampled is known to contain two or more mutually exclusive and clearly distinguishable subgroups or strata that differ greatly from one another with respect to some characteristic of interest. 
B)  It is useful when the frame or population to be sampled is known to contain two or more mutually exclusive and clearly distinguishable subgroups or strata that are fairly homogeneous internally. 
C)  It is chosen by taking separate (simple or systematic) random samples from every stratum, often in such a way that the sizes of the separate samples vary with the importance of the different strata. 
D)  All of these are correct statements about this type of sample. 
E)  None of these are correct statements about this type of sample.

Question 9

A producer of brass rivets randomly samples 500 rivets each hour and calculates the proportion of defectives in the sample. The mean sample proportion calculated from 250 samples was equal to 0.025. Calculate the upper and lower control limits for a control chart for the proportion of defectives in samples of 500 rivets.
UCL = ______________
LCL = ______________

Accepted Answer

The answer of A producer of brass rivets randomly samples...

Question 10

The standard error of a statistic used as an estimator of a population parameter is:

Accepted Answer

A)  the standard deviation of the sampling distribution of the statistic 
B)  the variance of the sampling distribution of the statistic 
C)  the same value as the population standard deviation 
D)  the same value of the population variance 
E)  the same value of the population mean 
A)  the standard deviation of the sampling distribution of the statistic 
B)  the variance of the sampling distribution of the statistic 
C)  the same value as the population standard deviation 
D)  the same value of the population variance 
E)  the same value of the population mean

Question 11

Suppose public opinion is split 65% against and 35% for increasing taxes to help balance the federal budget. 500 people from the population are selected randomly and interviewed.
Is the sampling distribution of the sample proportion of people who are in favor of increasing taxes to help balance the federal budget approximately normal?
______________
What is the mean?
______________
What is the standard deviation?
______________
What is the probability the proportion favoring a tax increase is more than 30%?
______________

Accepted Answer

Yes; 0.35;

Question 12

Which of the following statement is true?

Accepted Answer

A)  The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same. 
B)  The standard deviation of the sampling distribution of the proportionis denoted by SE (). 
C)  The standard deviation of the sampling distribution of the proportionis denoted by(). 
D)  The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same and The standard deviation of the sampling distribution of the proportionis denoted by SE (). 
E)  The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same and The standard deviation of the sampling distribution of the proportionis denoted by(). 
A)  The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same. 
B)  The standard deviation of the sampling distribution of the proportionis denoted by SE (). 
C)  The standard deviation of the sampling distribution of the proportionis denoted by(). 
D)  The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same and The standard deviation of the sampling distribution of the proportionis denoted by SE (). 
E)  The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same and The standard deviation of the sampling distribution of the proportionis denoted by().

Question 13

A newspaper is trying to decide which comics to carry on a daily basis, which comics to carry only on Sunday, and which comics to discontinue. The editor invites the readers to "vote" for their preferences by clipping a "ballot" from the editorial page and mailing it in. This is an example of a judgment sample.

Accepted Answer

A) True 
 B)False

Question 14

A numerical descriptive measure calculated from the sample is called:

Accepted Answer

A)  a parameter 
B)  a statistic 
C)  a population 
D)  a sampling distribution 
E)  an estimator 
A)  a parameter 
B)  a statistic 
C)  a population 
D)  a sampling distribution 
E)  an estimator

Question 15

The total area under a probability density function curve is a number between 0.5 and 1.0.

Accepted Answer

A) True 
 B)False

Question 16

Recall the rule of thumb used to indicate when the normal distribution is a good approximation of the sampling distribution for the sample proportion   . For the combination n = 25; p = 0.05, the rule is satisfied.

Accepted Answer

A) True 
 B)False

Question 17

The Central Limit Theorem applies to the sampling distribution of sample proportion   but not for the sampling distribution of sample mean   .

Accepted Answer

A) True 
 B)False

Question 18

Given a sampling distribution of the sample mean   that is normally distributed and has a mean of 30 and a standard deviation of 8, a sample mean of 40 corresponds to:

Accepted Answer

A)  a z-value of -1.25 
B)  a z-value of +1.25 
C)  a z-value of +2.25 
D)  a sample size of 120 
E)  a sample size of 300 
A)  a z-value of -1.25 
B)  a z-value of +1.25 
C)  a z-value of +2.25 
D)  a sample size of 120 
E)  a sample size of 300

Question 19

The population of incomes in a community college in Iowa is thought to be highly skewed to the right with a mean equal to $38,765 and a standard deviation equal to $2,640. Based on this information, if a sample of size 36 is selected at random, then the highest sample mean that we would expect to see would be approximately $40,085.

Accepted Answer

A) True 
 B)False

Question 20

A cluster sample is a simple random sample of clusters from the available clusters in the population.

Accepted Answer

A) True 
 B)False

Which of the following statements is false regarding the Central Limit Theorem (CLT) of the sample proportion ?

A numerical descriptive measure calculated from the entire population is called:

The total area under a probability density function curve is equal to 1.0.

If a process is in control, we expect all the data values to fall within one standard deviation of the mean.

Which of the following is a correct statement about the stratified random sample?

The standard error of a statistic used as an estimator of a population parameter is:

Which of the following statement is true?

A numerical descriptive measure calculated from the sample is called:

The total area under a probability density function curve is a number between 0.5 and 1.0.

Recall the rule of thumb used to indicate when the normal distribution is a good approximation of the sampling distribution for the sample proportion . For the combination n = 25; p = 0.05, the rule is satisfied.

The Central Limit Theorem applies to the sampling distribution of sample proportion but not for the sampling distribution of sample mean .

Given a sampling distribution of the sample mean that is normally distributed and has a mean of 30 and a standard deviation of 8, a sample mean of 40 corresponds to:

A cluster sample is a simple random sample of clusters from the available clusters in the population.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Nonparametric Statistics

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Exam 7: Sampling Distributions

Which of the following statements is false regarding the Central Limit Theorem (CLT) of the sample proportion ?

A numerical descriptive measure calculated from the entire population is called:

The total area under a probability density function curve is equal to 1.0.

If a process is in control, we expect all the data values to fall within one standard deviation of the mean.

Which of the following is a correct statement about the stratified random sample?

The standard error of a statistic used as an estimator of a population parameter is:

Which of the following statement is true?

A numerical descriptive measure calculated from the sample is called:

The total area under a probability density function curve is a number between 0.5 and 1.0.

Recall the rule of thumb used to indicate when the normal distribution is a good approximation of the sampling distribution for the sample proportion . For the combination n = 25; p = 0.05, the rule is satisfied.

The Central Limit Theorem applies to the sampling distribution of sample proportion but not for the sampling distribution of sample mean .

Given a sampling distribution of the sample mean that is normally distributed and has a mean of 30 and a standard deviation of 8, a sample mean of 40 corresponds to:

A cluster sample is a simple random sample of clusters from the available clusters in the population.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Nonparametric Statistics

Filters