Question 1

Which of the following is a difference between interval estimates and point estimates?

Accepted Answer

A)  Point estimates cannot be used to calculate statistical error, while interval estimate is used to calculate statistical error. 
B)  Point estimates provide only a single value for a sample, while interval estimates provide a range of values. 
C)  Point estimates indicate the magnitude of potential error in the estimate, while interval estimates don't. 
D)  Point estimates on an average provide more information than interval estimates. 
A)  Point estimates cannot be used to calculate statistical error, while interval estimate is used to calculate statistical error. 
B)  Point estimates provide only a single value for a sample, while interval estimates provide a range of values. 
C)  Point estimates indicate the magnitude of potential error in the estimate, while interval estimates don't. 
D)  Point estimates on an average provide more information than interval estimates.

Question 2

For any sample of fixed size n, the true standard deviation of the sampling distribution of the mean is the standard deviation of the population.

Accepted Answer

A) True 
 B)False

Question 3

A is a range of values between which the value of the population parameter is believed to be, along with a probability that the interval correctly estimates the true population parameter.

Accepted Answer

A)  point estimate 
B)  frequentist interference 
C)  confidence interval 
D)  fiducial inference 
A)  point estimate 
B)  frequentist interference 
C)  confidence interval 
D)  fiducial inference

Question 4

Which of the following describes periodic sampling?

Accepted Answer

A)  It is a sampling method based solely on expert opinion. 
B)  It is a sampling method based on selecting a time and then sampling the products after that time. 
C)  It is a sampling method based on selecting every nth item from a population. 
D)  It is a sampling method exclusively used for population that is divided into subsets. 
A)  It is a sampling method based solely on expert opinion. 
B)  It is a sampling method based on selecting a time and then sampling the products after that time. 
C)  It is a sampling method based on selecting every nth item from a population. 
D)  It is a sampling method exclusively used for population that is divided into subsets.

Question 5

A confidence interval is a range of values between which the value of the population parameter is believed to be.

Accepted Answer

A) True 
 B)False

Question 6

Which of the following types of distributions use z-values to establish confidence intervals?

Accepted Answer

A)  Gaussian q-distribution 
B)  t-distribution 
C)  log-normal distribution 
D)  standard normal distribution 
A)  Gaussian q-distribution 
B)  t-distribution 
C)  log-normal distribution 
D)  standard normal distribution

Question 7

Which of the following accurately describes a sampling distribution of the mean?

Accepted Answer

A)  It is the mean of any one sample from a group of related populations of different sizes. 
B)  It is the mean distribution of any one sample from a group of samples of varying sizes from a population. 
C)  It is the mean of half the samples from a related group of populations. 
D)  It is the distribution of the means of all possible samples of fixed size n from a population. 
A)  It is the mean of any one sample from a group of related populations of different sizes. 
B)  It is the mean distribution of any one sample from a group of samples of varying sizes from a population. 
C)  It is the mean of half the samples from a related group of populations. 
D)  It is the distribution of the means of all possible samples of fixed size n from a population.

Question 8

For which of the following is the value of the estimator said to be biased?

Accepted Answer

A)  if the expected value of the estimator does not equal the population parameter 
B)  if the expected value of the estimator equals the population parameter 
C)  only if the expected value of the estimator is zero 
D)  only if the expected value of the estimator goes below zero 
A)  if the expected value of the estimator does not equal the population parameter 
B)  if the expected value of the estimator equals the population parameter 
C)  only if the expected value of the estimator is zero 
D)  only if the expected value of the estimator goes below zero

Question 9

In the equation for calculating a confidence interval for a proportion, p± za/2 $\sqrt { \frac { p ( 1 - p ) } { n } }$ , what does $\sqrt { \frac { p ( 1 - p ) } { n } }$ represent?

Accepted Answer

A)  the mean for the sampling distribution of the proportion 
B)  the degree of freedom for the sampling distribution of the proportion 
C)  the standard error for the sampling distribution of the proportion 
D)  the estimator for sampling distribution of the proportion 
A)  the mean for the sampling distribution of the proportion 
B)  the degree of freedom for the sampling distribution of the proportion 
C)  the standard error for the sampling distribution of the proportion 
D)  the estimator for sampling distribution of the proportion

Question 10

The is a family of probability distributions with a shape similar to the standard normal distribution.

Accepted Answer

A)  log-normal distribution 
B)  Gaussian q-distribution 
C)  frequentist interference 
D)  t-distribution 
A)  log-normal distribution 
B)  Gaussian q-distribution 
C)  frequentist interference 
D)  t-distribution

Question 11

A is a description of the approach that is used to obtain samples from a population prior to any data collection activity.

Accepted Answer

A)  population frame 
B)  sampling weight 
C)  sampling plan 
D)  probability interval 
A)  population frame 
B)  sampling weight 
C)  sampling plan 
D)  probability interval

Question 12

Which of the following types of sampling involves using random procedures to select a sample?

Accepted Answer

A)  judgment sampling 
B)  probabilistic sampling 
C)  subjective sampling 
D)  convenience sampling 
A)  judgment sampling 
B)  probabilistic sampling 
C)  subjective sampling 
D)  convenience sampling

Question 13

states that if the sample size is large enough, the sampling distribution of the mean is approximately normally distributed, regardless of the distribution of the population and that the mean of the sampling distribution will be the same as that of the population.

Accepted Answer

A)  Chebyshev's theorem 
B)  Central limit theorem 
C)  Prime number theorem 
D)  Oppermann's conjecture 
A)  Chebyshev's theorem 
B)  Central limit theorem 
C)  Prime number theorem 
D)  Oppermann's conjecture

Question 14

Which of the following is true of the equation [n $\ge$ z )2  $\alpha / 2$   $\frac { \pi ( 1 - \pi ) } { E ^ { 2 } }$ ] for computing the sample size required to achieve a desired confidence interval half-width for a proportion?

Accepted Answer

A)  The sample size calculated will only be an approximation. 
B)  The standard deviation need not be calculated first in order to compute the sample size. 
C)  The value for $\pi$ is always set at 1. 
D)  The most conservative estimate for $\pi$ is 0.5. 
A)  The sample size calculated will only be an approximation. 
B)  The standard deviation need not be calculated first in order to compute the sample size. 
C)  The value for $\pi$ is always set at 1. 
D)  The most conservative estimate for $\pi$ is 0.5.

Question 15

As the number of degrees of freedom increases, the t-distribution converges to the standard normal distribution.

Accepted Answer

A) True 
 B)False

Which of the following is a difference between interval estimates and point estimates?

For any sample of fixed size n, the true standard deviation of the sampling distribution of the mean is the standard deviation of the population.

A is a range of values between which the value of the population parameter is believed to be, along with a probability that the interval correctly estimates the true population parameter.

Which of the following describes periodic sampling?

A confidence interval is a range of values between which the value of the population parameter is believed to be.

Which of the following types of distributions use z-values to establish confidence intervals?

Which of the following accurately describes a sampling distribution of the mean?

For which of the following is the value of the estimator said to be biased?

In the equation for calculating a confidence interval for a proportion, p± z_a_/₂ $\sqrt { \frac { p ( 1 - p ) } { n } }$ , what does $\sqrt { \frac { p ( 1 - p ) } { n } }$ represent?

The is a family of probability distributions with a shape similar to the standard normal distribution.

A is a description of the approach that is used to obtain samples from a population prior to any data collection activity.

Which of the following types of sampling involves using random procedures to select a sample?

states that if the sample size is large enough, the sampling distribution of the mean is approximately normally distributed, regardless of the distribution of the population and that the mean of the sampling distribution will be the same as that of the population.

Which of the following is true of the equation [n $\ge$ z )² $\alpha / 2$ $\frac { \pi ( 1 - \pi ) } { E ^ { 2 } }$ ] for computing the sample size required to achieve a desired confidence interval half-width for a proportion?

As the number of degrees of freedom increases, the t-distribution converges to the standard normal distribution.

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Exam 6: Sampling and Estimation

Which of the following is a difference between interval estimates and point estimates?

For any sample of fixed size n, the true standard deviation of the sampling distribution of the mean is the standard deviation of the population.

A is a range of values between which the value of the population parameter is believed to be, along with a probability that the interval correctly estimates the true population parameter.

Which of the following describes periodic sampling?

A confidence interval is a range of values between which the value of the population parameter is believed to be.

Which of the following types of distributions use z-values to establish confidence intervals?

Which of the following accurately describes a sampling distribution of the mean?

For which of the following is the value of the estimator said to be biased?

In the equation for calculating a confidence interval for a proportion, p± za/2 p(1−p)n\sqrt { \frac { p ( 1 - p ) } { n } }np(1−p)​​ , what does p(1−p)n\sqrt { \frac { p ( 1 - p ) } { n } }np(1−p)​​ represent?

The is a family of probability distributions with a shape similar to the standard normal distribution.

A is a description of the approach that is used to obtain samples from a population prior to any data collection activity.

Which of the following types of sampling involves using random procedures to select a sample?

states that if the sample size is large enough, the sampling distribution of the mean is approximately normally distributed, regardless of the distribution of the population and that the mean of the sampling distribution will be the same as that of the population.

Which of the following is true of the equation [n ≥\ge≥ z )2 α/2\alpha / 2α/2 π(1−π)E2\frac { \pi ( 1 - \pi ) } { E ^ { 2 } }E2π(1−π)​ ] for computing the sample size required to achieve a desired confidence interval half-width for a proportion?

As the number of degrees of freedom increases, the t-distribution converges to the standard normal distribution.

Introduction to Labour Market Economics

Database Analytics

Data Visualization

Descriptive Statistics

Probability Distributions and Data Modeling

Statistical Inference

Trendlines and Regression Analysis

Forecasting Techniques

Introduction to Data Mining

Spreadsheet Modeling and Analysis

Simulation and Risk Analysis

Linear Optimization

Integer and Nonlinear Optimization Models

Optimization Analytics

Decision Analysis

Filters

In the equation for calculating a confidence interval for a proportion, p± z_a_/₂ $\sqrt { \frac { p ( 1 - p ) } { n } }$ , what does $\sqrt { \frac { p ( 1 - p ) } { n } }$ represent?

Which of the following is true of the equation [n $\ge$ z )² $\alpha / 2$ $\frac { \pi ( 1 - \pi ) } { E ^ { 2 } }$ ] for computing the sample size required to achieve a desired confidence interval half-width for a proportion?