Question 1

The basis for using a normal probability distribution to approximate the sampling distribution of $ \bar x $ is?

Accepted Answer

A)   Chebyshev's theorem. 
B)   The empirical rule. 
C)   The central limit theorem. 
D)   Bayes' theorem. 
A)   Chebyshev's theorem. 
B)   The empirical rule. 
C)   The central limit theorem. 
D)   Bayes' theorem.

Question 2

Sampling distribution of $\bar { x }$ is the

Accepted Answer

A)  probability distribution of the sample mean. 
B)  probability distribution of the sample proportion. 
C)  mean of the sample. 
D)  mean of the population. 
A)  probability distribution of the sample mean. 
B)  probability distribution of the sample proportion. 
C)  mean of the sample. 
D)  mean of the population.

Question 3

Doubling the size of the sample will

Accepted Answer

A)  reduce the standard error of the mean to one-half its current value. 
B)  reduce the standard error of the mean to approximately 70% of its current value. 
C)  have no effect on the standard error of the mean. 
D)  double the standard error of the mean. 
A)  reduce the standard error of the mean to one-half its current value. 
B)  reduce the standard error of the mean to approximately 70% of its current value. 
C)  have no effect on the standard error of the mean. 
D)  double the standard error of the mean.

Question 4

A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

Accepted Answer

A)  whenever the population is infinite. 
B)  whenever the sample size is more than 5% of the population size. 
C)  whenever the sample size is less than 5% of the population size. 
D)  irrespective of the size of the sample. 
A)  whenever the population is infinite. 
B)  whenever the sample size is more than 5% of the population size. 
C)  whenever the sample size is less than 5% of the population size. 
D)  irrespective of the size of the sample.

Question 5

A simple random sample of size n from an infinite population of size N is to be selected.Each possible sample should have

Accepted Answer

A)  the same probability of being selected 
B)  a probability of 1/n of being selected 
C)  a probability of 1/N of being selected 
D)  a probability of N/n of being selected 
A)  the same probability of being selected 
B)  a probability of 1/n of being selected 
C)  a probability of 1/N of being selected 
D)  a probability of N/n of being selected

Question 6

Convenience sampling is an example of

Accepted Answer

A)  probabilistic sampling. 
B)  stratified sampling. 
C)  nonprobabilistic sampling. 
D)  cluster sampling. 
A)  probabilistic sampling. 
B)  stratified sampling. 
C)  nonprobabilistic sampling. 
D)  cluster sampling.

Question 7

A single numerical value used as an estimate of a population parameter is known as

Accepted Answer

A)  a parameter. 
B)  a population parameter. 
C)  a mean estimator. 
D)  a point estimate. 
A)  a parameter. 
B)  a population parameter. 
C)  a mean estimator. 
D)  a point estimate.

Question 8

Four hundred people were asked whether gun laws should be more stringent.Three hundred said "yes," and 100 said "no".The point estimate of the proportion in the population who will respond "yes" is

Accepted Answer

A)  300 
B)  approximately 300 
C)  0.75 
D)  0.25 
A)  300 
B)  approximately 300 
C)  0.75 
D)  0.25

Question 9

The sample statistic, such as $\bar { x }$ , s, or $\bar { p }$ , that provides the point estimate of the population parameter is known as

Accepted Answer

A)  a point estimator. 
B)  a parameter. 
C)  a population parameter. 
D)  a population statistic. 
A)  a point estimator. 
B)  a parameter. 
C)  a population parameter. 
D)  a population statistic.

Question 10

The probability distribution of all possible values of the sample mean $\bar { x }$ is

Accepted Answer

A)  the probability density function of $\bar { x }$ . 
B)  the sampling distribution of $\bar { x }$ . 
C)  the grand mean, since it considers all possible values of the sample mean. 
D)  one, since it considers all possible values of the sample mean. 
A)  the probability density function of $\bar { x }$ . 
B)  the sampling distribution of $\bar { x }$ . 
C)  the grand mean, since it considers all possible values of the sample mean. 
D)  one, since it considers all possible values of the sample mean.

Question 11

A probability distribution of all possible values of a sample statistic is known as

Accepted Answer

A)  a sample statistic. 
B)  a parameter. 
C)  simple random sampling. 
D)  a sampling distribution. 
A)  a sample statistic. 
B)  a parameter. 
C)  simple random sampling. 
D)  a sampling distribution.

Question 12

A population has a mean of 80 and a standard deviation of 7.A sample of 49 observations will be taken.The probability that the sample mean will be larger than 82 is

Accepted Answer

A)  0.5228 
B)  0.9772 
C)  0.4772 
D)  0.0228 
A)  0.5228 
B)  0.9772 
C)  0.4772 
D)  0.0228

Question 13

In a local university, 40% of the students live in the dormitories.A random sample of 80 students is selected for a particular study.The standard deviation of $\overline { \mathbf { p } }$ , known as the standard error of the proportion is approximately

Accepted Answer

A)  0.5477 
B)  5.477 
C)  0.05477 
D)  54.77 
A)  0.5477 
B)  5.477 
C)  0.05477 
D)  54.77

Question 14

A population of size 1,000 has a proportion of 0.5.Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Accepted Answer

A)  500 and 0.047 
B)  500 and 0.050 
C)  0.5 and 0.047 
D)  0.5 and 0.050 
A)  500 and 0.047 
B)  500 and 0.050 
C)  0.5 and 0.047 
D)  0.5 and 0.050

Question 15

The following information was collected from a simple random sample of a population. 16
19
18
17
20
18
The point estimate of the mean of the population is

Accepted Answer

A)  18.0 
B)  19.6 
C)  108 
D)  16 
A)  18.0 
B)  19.6 
C)  108 
D)  16

Question 16

As the sample size increases, the

Accepted Answer

A)  standard deviation of the population decreases. 
B)  population mean increases. 
C)  standard error of the mean decreases. 
D)  standard error of the mean increases. 
A)  standard deviation of the population decreases. 
B)  population mean increases. 
C)  standard error of the mean decreases. 
D)  standard error of the mean increases.

Question 17

The absolute value of the difference between the point estimate and the population parameter it estimates is the

Accepted Answer

A)  standard error. 
B)  sampling error. 
C)  efficient error. 
D)  finite error. 
A)  standard error. 
B)  sampling error. 
C)  efficient error. 
D)  finite error.

Question 18

A population consists of 500 elements.We want to draw a simple random sample of 50 elements from this population.On the first selection, the probability of an element being selected is

Accepted Answer

A)  0.100 
B)  0.010 
C)  0.001 
D)  0.002 
A)  0.100 
B)  0.010 
C)  0.001 
D)  0.002

Question 19

How many simple random samples of size 3 can be selected from a population of size 7?

Accepted Answer

A)  7 
B)  21 
C)  35 
D)  343 
A)  7 
B)  21 
C)  35 
D)  343

Question 20

A simple random sample from an infinite population is a sample selected such that

Accepted Answer

A)  each element is selected independently and from the same population. 
B)  each element has a 0.5 probability of being selected. 
C)  each element has a probability of at least 0.5 of being selected. 
D)  the probability of being selected changes. 
A)  each element is selected independently and from the same population. 
B)  each element has a 0.5 probability of being selected. 
C)  each element has a probability of at least 0.5 of being selected. 
D)  the probability of being selected changes.

The basis for using a normal probability distribution to approximate the sampling distribution of $\bar x$ is?

Sampling distribution of $\bar { x }$ is the

Doubling the size of the sample will

A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

A simple random sample of size n from an infinite population of size N is to be selected.Each possible sample should have

Convenience sampling is an example of

A single numerical value used as an estimate of a population parameter is known as

Four hundred people were asked whether gun laws should be more stringent.Three hundred said "yes," and 100 said "no".The point estimate of the proportion in the population who will respond "yes" is

The sample statistic, such as $\bar { x }$ , s, or $\bar { p }$ , that provides the point estimate of the population parameter is known as

The probability distribution of all possible values of the sample mean $\bar { x }$ is

A probability distribution of all possible values of a sample statistic is known as

A population has a mean of 80 and a standard deviation of 7.A sample of 49 observations will be taken.The probability that the sample mean will be larger than 82 is

In a local university, 40% of the students live in the dormitories.A random sample of 80 students is selected for a particular study.The standard deviation of $\overline { \mathbf { p } }$ , known as the standard error of the proportion is approximately

A population of size 1,000 has a proportion of 0.5.Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

The following information was collected from a simple random sample of a population. 16 19 18 17 20 18 The point estimate of the mean of the population is

As the sample size increases, the

The absolute value of the difference between the point estimate and the population parameter it estimates is the

A population consists of 500 elements.We want to draw a simple random sample of 50 elements from this population.On the first selection, the probability of an element being selected is

How many simple random samples of size 3 can be selected from a population of size 7?

A simple random sample from an infinite population is a sample selected such that

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

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Exam 7: Sampling and Sampling Distributions

The basis for using a normal probability distribution to approximate the sampling distribution of xˉ \bar x xˉ is?

Sampling distribution of xˉ\bar { x }xˉ is the

Doubling the size of the sample will

A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

A simple random sample of size n from an infinite population of size N is to be selected.Each possible sample should have

Convenience sampling is an example of

A single numerical value used as an estimate of a population parameter is known as

Four hundred people were asked whether gun laws should be more stringent.Three hundred said "yes," and 100 said "no".The point estimate of the proportion in the population who will respond "yes" is

The sample statistic, such as xˉ\bar { x }xˉ , s, or pˉ\bar { p }pˉ​ , that provides the point estimate of the population parameter is known as

The probability distribution of all possible values of the sample mean xˉ\bar { x }xˉ is

A probability distribution of all possible values of a sample statistic is known as

A population has a mean of 80 and a standard deviation of 7.A sample of 49 observations will be taken.The probability that the sample mean will be larger than 82 is

In a local university, 40% of the students live in the dormitories.A random sample of 80 students is selected for a particular study.The standard deviation of p‾\overline { \mathbf { p } }p​ , known as the standard error of the proportion is approximately

A population of size 1,000 has a proportion of 0.5.Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

The following information was collected from a simple random sample of a population. 16 19 18 17 20 18 The point estimate of the mean of the population is

As the sample size increases, the

The absolute value of the difference between the point estimate and the population parameter it estimates is the

A population consists of 500 elements.We want to draw a simple random sample of 50 elements from this population.On the first selection, the probability of an element being selected is

How many simple random samples of size 3 can be selected from a population of size 7?

A simple random sample from an infinite population is a sample selected such that

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

The basis for using a normal probability distribution to approximate the sampling distribution of $\bar x$ is?

Sampling distribution of $\bar { x }$ is the

The sample statistic, such as $\bar { x }$ , s, or $\bar { p }$ , that provides the point estimate of the population parameter is known as

The probability distribution of all possible values of the sample mean $\bar { x }$ is

In a local university, 40% of the students live in the dormitories.A random sample of 80 students is selected for a particular study.The standard deviation of $\overline { \mathbf { p } }$ , known as the standard error of the proportion is approximately