Question 1

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 B

Question 2

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 B

Question 3

Use the table below to answer the following question(s).
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 average volume.The historical standard deviation is 5 milliliters.In filling 250-milliliter bottles, a sample of 20 found an average volume of 242 milliliters.
 $\begin{array}{l|l}
\hline \text { Velvetta Inc. Shampoo } & \
 \text { Production } & \
\hline \text { Alpha Value } & 0.05 \
\hline \text { Standard Deviation } & 5 \
\hline \text { Sample Size } & 20 \
\hline \text { Sample Average } & 2.42
\end{array}$
-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 C

Question 4

Which of the following is true of an unbiased estimator value?

Accepted Answer

A) The expected value will align perfectly with the population mean. 
B) The expected value will not equal the population's parameters. 
C) The expected value will not be greater than zero. 
D) The expected value will equal the population's parameters. 
A) The expected value will align perfectly with the population mean. 
B) The expected value will not equal the population's parameters. 
C) The expected value will not be greater than zero. 
D) The expected value will equal the population's parameters.

Question 5

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 is the probability that the mean purchase would exceed $116?

Accepted Answer

A) 11% 
B) 3% 
C) 33% 
D) 7% 
A) 11% 
B) 3% 
C) 33% 
D) 7%

Question 6

What is a confidence interval in sampling?

Accepted Answer

Confidence interval estimates provide a

Question 7

________ sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset.

Accepted Answer

A) Systematic 
B) Stratified 
C) Cluster 
D) Continuous process 
A) Systematic 
B) Stratified 
C) Cluster 
D) Continuous process

Question 8

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 9

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 10

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

Accepted Answer

A) True 
 B)False

Question 11

In the equation for calculating a confidence interval for a proportion, $p \pm z_{a} / 2 \sqrt{\frac{p(1-p)}{n}}, \text { what does } \sqrt{\frac{p(1-p)}{n}}$
 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 12

Which of the following is true of prediction intervals?

Accepted Answer

A) It provides estimates for variables that can have only two possible outcomes. 
B) It is associated with the distribution of a random variable. 
C) It provides an interval estimate of a population parameter. 
D) It is associated with the sampling distribution of a statistic. 
A) It provides estimates for variables that can have only two possible outcomes. 
B) It is associated with the distribution of a random variable. 
C) It provides an interval estimate of a population parameter. 
D) It is associated with the sampling distribution of a statistic.

Question 13

Use the table below to answer the following question(s).
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 average volume.The historical standard deviation is 5 milliliters.In filling 250-milliliter bottles, a sample of 20 found an average volume of 242 milliliters.
 $\begin{array}{l|l}
\hline \text { Velvetta Inc. Shampoo } & \
 \text { Production } & \
\hline \text { Alpha Value } & 0.05 \
\hline \text { Standard Deviation } & 5 \
\hline \text { Sample Size } & 20 \
\hline \text { Sample Average } & 2.42
\end{array}$
-Based on the data in the table above, calculate the margin of error at 95% confidence interval.

Accepted Answer

A) 1.84 
B) 2.19 
C) 2.51 
D) 1.96 
A) 1.84 
B) 2.19 
C) 2.51 
D) 1.96

Question 14

Which of the following is the inherent reason why sampling errors occur?

Accepted Answer

A) because samples represent the whole population 
B) because samples are only a subset of the population 
C) because samples never provide enough data to estimate standard deviation 
D) because the means cannot be accurately estimated using samples 
A) because samples represent the whole population 
B) because samples are only a subset of the population 
C) because samples never provide enough data to estimate standard deviation 
D) because the means cannot be accurately estimated using samples

Question 15

A(n)________ 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 16

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

Question 17

The formula for a 100(1 - α)% confidence interval for the mean μ when the population standard deviation is unknown is ________.

Accepted Answer

A) $x_{i}-\bar{x} /(\sigma / \sqrt{n})$ 
B) $\bar{x} \pm t_{\alpha} / 2 n-1(s / \sqrt{n})$ 
C) $\bar{x} \pm_{z} \alpha / 2(\sigma / \sqrt{n})$ 
D) $-\frac{(\sigma / \sqrt{n})}{z \alpha / 2}$ 
A) $x_{i}-\bar{x} /(\sigma / \sqrt{n})$ 
B) $\bar{x} \pm t_{\alpha} / 2 n-1(s / \sqrt{n})$ 
C) $\bar{x} \pm_{z} \alpha / 2(\sigma / \sqrt{n})$ 
D) $-\frac{(\sigma / \sqrt{n})}{z \alpha / 2}$

Question 18

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 19

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 20

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.

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

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

Which of the following is true of an unbiased estimator value?

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 is the probability that the mean purchase would exceed $116?

What is a confidence interval in sampling?

________ sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset.

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

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

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

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

Which of the following is true of prediction intervals?

Which of the following is the inherent reason why sampling errors occur?

A(n)________ is a single number derived from sample data that is used to estimate the value of a population parameter.

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

The formula for a 100(1 - α)% confidence interval for the mean μ when the population standard deviation is unknown is ________.

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

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

Which of the following describes periodic sampling?

Introduction to Business Analytics

Analytics on Spreadsheets

Visualizing and Exploring Data

Descriptive Statistical Measures

Probability Distributions and Data Modeling

Statistical Inference

Predictive Modeling and Analysis

Regression Analysis

Forecasting Techniques

Simulation and Risk Analysis

Introduction to Data Mining

Linear Optimization

Applications of Linear Optimization

Integer Optimization

Nonlinear and Non-Smooth Optimization

Optimization Models with Uncertainty

Decision Analysis

Filters

Exam 6: Sampling and Estimation

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

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

Which of the following is true of an unbiased estimator value?

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 is the probability that the mean purchase would exceed $116?

What is a confidence interval in sampling?

________ sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset.

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

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

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

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

Which of the following is true of prediction intervals?

Which of the following is the inherent reason why sampling errors occur?

A(n)________ is a single number derived from sample data that is used to estimate the value of a population parameter.

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

The formula for a 100(1 - α)% confidence interval for the mean μ when the population standard deviation is unknown is ________.

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

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

Which of the following describes periodic sampling?

Introduction to Business Analytics

Analytics on Spreadsheets

Visualizing and Exploring Data

Descriptive Statistical Measures

Probability Distributions and Data Modeling

Statistical Inference

Predictive Modeling and Analysis

Regression Analysis

Forecasting Techniques

Simulation and Risk Analysis

Introduction to Data Mining

Linear Optimization

Applications of Linear Optimization

Integer Optimization

Nonlinear and Non-Smooth Optimization

Optimization Models with Uncertainty

Decision Analysis

Filters

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