Question 1

Which of the following sampling methods bases its selection of samples on the ease of data collection?

Accepted Answer

A)  probabilistic sampling 
B)  judgment sampling 
C)  simple random sampling 
D)  convenience sampling 
A)  probabilistic sampling 
B)  judgment sampling 
C)  simple random sampling 
D)  convenience sampling

Question 2

Which of the following is true of the t-distribution?

Accepted Answer

A)  It has narrower confidence intervals than the standard normal distribution. 
B)  It is only used to calculate confidence intervals where there is no known population standard deviation. 
C)  It converges to the standard normal distribution as degrees of freedom increase. 
D)  It does not require parameters such as degrees of freedom. 
A)  It has narrower confidence intervals than the standard normal distribution. 
B)  It is only used to calculate confidence intervals where there is no known population standard deviation. 
C)  It converges to the standard normal distribution as degrees of freedom increase. 
D)  It does not require parameters such as degrees of freedom.

Question 3

Compare between a prediction interval and a confidence interval.

Accepted Answer

A prediction interval is one that provid

Question 4

From the standard deviation formula, $\frac { \sum ( x - \bar { x } ) ^ { 2 } } { n - 1 }$  identify the estimator.

Accepted Answer

A)  s2 
B)  ?2 
C)  $\bar { x }$ 
D)  s 
A)  s2 
B)  ?2 
C)  $\bar { x }$ 
D)  s

Question 5

As the sample size increases, the width of the confidence interval decreases.

Accepted Answer

A) True 
 B)False

Question 6

The means of all possible samples of a fixed size n from some population will form a distribution which is known as the .

Accepted Answer

A)  corollary of the mean 
B)  sampling distribution of the mean 
C)  standard error of the mean 
D)  point estimate 
A)  corollary of the mean 
B)  sampling distribution of the mean 
C)  standard error of the mean 
D)  point estimate

Question 7

In which of the following cases is a proportion of the observations of a sample used in estimating the confidence interval?

Accepted Answer

A)  when the degrees of freedom are too large 
B)  when a true sampling distribution cannot be estimated 
C)  when the population standard deviation is known 
D)  when variables have only two possible outcomes 
A)  when the degrees of freedom are too large 
B)  when a true sampling distribution cannot be estimated 
C)  when the population standard deviation is known 
D)  when variables have only two possible outcomes

Question 8

involves selecting items from a population so that every subset of a given size has an equal chance of being selected.

Accepted Answer

A)  Convenience sampling 
B)  Subjective sampling 
C)  Judgment sampling 
D)  Simple random sampling 
A)  Convenience sampling 
B)  Subjective sampling 
C)  Judgment sampling 
D)  Simple random sampling

Question 9

Which of the following is true of calculating confidence intervals for larger samples?

Accepted Answer

A)  For larger samples, the t-distribution is indistinguishable from the standard normal distribution. 
B)  For larger samples, both the t-distribution and the standard normal distribution require standard deviation values to be calculated. 
C)  For larger samples, the degrees of freedom cannot be calculated accurately. 
D)  For larger samples, only z-values provide a true sampling distribution of the mean. 
A)  For larger samples, the t-distribution is indistinguishable from the standard normal distribution. 
B)  For larger samples, both the t-distribution and the standard normal distribution require standard deviation values to be calculated. 
C)  For larger samples, the degrees of freedom cannot be calculated accurately. 
D)  For larger samples, only z-values provide a true sampling distribution of the mean.

Question 10

Use the table below to answer the following questions).
The historical data of Velvetta Inc., a healthcare products manufacturer, have shown that in a production process for filling bottles of shampoo, variance in the volume is constant; however, clogs in the filling machine often affect the mean volume. The historical standard deviation is 5 milliliters. In filling 250-milliliter bottles, a sample of 20 found a mean volume of 242 milliliters. $$\begin{array}{l}\begin{array} { | l | l | } 
\hline\text { Velvetta Inc. Shampon }\

\text { Productim } & \
\hline \text { Alpha Vulue } & 0.05 \
\hline \text { Standard Deviation } & 5 \
\hline \text { Sample Size } & 20 \
\hline \text { Sample Mean } & 242 \
\hline
\end{array}
\end{array}$$
-From the table above, calculate the lower confidence interval estimate at a confidence level of 95%

Accepted Answer

A)  239.49 
B)  240.16 
C)  239.81 
D)  240.04 
A)  239.49 
B)  240.16 
C)  239.81 
D)  240.04

Question 11

Which of the following is true of judgment sampling?

Accepted Answer

A)  It selects samples based on expert opinion. 
B)  It selects samples based on ease of data collection. 
C)  It selects samples based on random procedures. 
D)  It selects samples based on full representation of all subsets in a population. 
A)  It selects samples based on expert opinion. 
B)  It selects samples based on ease of data collection. 
C)  It selects samples based on random procedures. 
D)  It selects samples based on full representation of all subsets in a population.

Question 12

A is one that provides a range for anticipating the value of a new observation from the same population.

Accepted Answer

A)  prediction interval 
B)  confidence interval 
C)  t-distribution 
D)  standard normal distribution 
A)  prediction interval 
B)  confidence interval 
C)  t-distribution 
D)  standard normal distribution

Question 13

An) is a single number derived from sample data that is used to estimate the value of a population parameter.

Accepted Answer

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

Question 14

Point estimates do not provide any indication of the magnitude of the potential error in the estimate.

Accepted Answer

A) True 
 B)False

Question 15

A confidence interval is associated with the sampling distribution of a statistic.

Accepted Answer

A) True 
 B)False

Question 16

The table below shows the number of goals scored by the Huntington Soccer Club in their league for the past 12 years. Calculate the standard error of the mean of the data given that the variance of the data is 50.45 $\begin{array}{|c|c|}
\hline\begin{array}{c}
\text { Goals Scored by the Huntington } \
\text { Soccer Club for the past 12 } \
\text { years }
\end{array} & \
\hline \text { Year 1 } & 45 \
\hline \text { Year 2 } & 51 \
\hline \text { Year 3 } & 33 \
\hline \text { Year 4 } & 40 \
\hline \text { Year 5 } & 30 \
\hline \text { Year 6 } & 38 \
\hline \text { Year 7 } & 49 \
\hline \text { Year 8 } & 52 \
\hline \text { Year 9 } & 46 \
\hline \text { Year 10 } & 43 \
\hline \text { Year 11 } & 40 \
\hline \text { Year 12 } & 50 \
\hline
\end{array}$

Accepted Answer

Standard error of the mean is calculated

Question 17

The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and a standard deviation of $9. If a soccer team of 11 players were to make the next batch of orders, what would be the standard error of the mean?

Accepted Answer

A)  1.64 
B)  2.71 
C)  3.67 
D)  0.82 
A)  1.64 
B)  2.71 
C)  3.67 
D)  0.82

Question 18

Which of the following is implied from the standard error of the mean formula?

Accepted Answer

A)  that true means of populations can be found easier than those of samples 
B)  that standard deviation increases with increase in sample size 
C)  that larger sample sizes provide greater accuracy in estimating the true population mean 
D)  that the true mean of the population can only be calculated using smaller sample sizes 
A)  that true means of populations can be found easier than those of samples 
B)  that standard deviation increases with increase in sample size 
C)  that larger sample sizes provide greater accuracy in estimating the true population mean 
D)  that the true mean of the population can only be calculated using smaller sample sizes

Question 19

The simple random sampling method is the only statistical sampling method that does not include sampling errors.

Accepted Answer

A) True 
 B)False

Question 20

Convenience sampling is an example of a probabilistic sampling method.

Accepted Answer

A) True 
 B)False

Which of the following sampling methods bases its selection of samples on the ease of data collection?

Which of the following is true of the t-distribution?

Compare between a prediction interval and a confidence interval.

From the standard deviation formula, $\frac { \sum ( x - \bar { x } ) ^ { 2 } } { n - 1 }$ identify the estimator.

As the sample size increases, the width of the confidence interval decreases.

The means of all possible samples of a fixed size n from some population will form a distribution which is known as the .

In which of the following cases is a proportion of the observations of a sample used in estimating the confidence interval?

involves selecting items from a population so that every subset of a given size has an equal chance of being selected.

Which of the following is true of calculating confidence intervals for larger samples?

Which of the following is true of judgment sampling?

A is one that provides a range for anticipating the value of a new observation from the same population.

An) is a single number derived from sample data that is used to estimate the value of a population parameter.

Point estimates do not provide any indication of the magnitude of the potential error in the estimate.

A confidence interval is associated with the sampling distribution of a statistic.

The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and a standard deviation of $9. If a soccer team of 11 players were to make the next batch of orders, what would be the standard error of the mean?

Which of the following is implied from the standard error of the mean formula?

The simple random sampling method is the only statistical sampling method that does not include sampling errors.

Convenience sampling is an example of a probabilistic sampling method.

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

Exam 6: Sampling and Estimation

Which of the following sampling methods bases its selection of samples on the ease of data collection?

Which of the following is true of the t-distribution?

Compare between a prediction interval and a confidence interval.

From the standard deviation formula, ∑(x−xˉ)2n−1\frac { \sum ( x - \bar { x } ) ^ { 2 } } { n - 1 }n−1∑(x−xˉ)2​ identify the estimator.

As the sample size increases, the width of the confidence interval decreases.

The means of all possible samples of a fixed size n from some population will form a distribution which is known as the .

In which of the following cases is a proportion of the observations of a sample used in estimating the confidence interval?

involves selecting items from a population so that every subset of a given size has an equal chance of being selected.

Which of the following is true of calculating confidence intervals for larger samples?

Which of the following is true of judgment sampling?

A is one that provides a range for anticipating the value of a new observation from the same population.

An) is a single number derived from sample data that is used to estimate the value of a population parameter.

Point estimates do not provide any indication of the magnitude of the potential error in the estimate.

A confidence interval is associated with the sampling distribution of a statistic.

The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and a standard deviation of $9. If a soccer team of 11 players were to make the next batch of orders, what would be the standard error of the mean?

Which of the following is implied from the standard error of the mean formula?

The simple random sampling method is the only statistical sampling method that does not include sampling errors.

Convenience sampling is an example of a probabilistic sampling method.

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

From the standard deviation formula, $\frac { \sum ( x - \bar { x } ) ^ { 2 } } { n - 1 }$ identify the estimator.