Question 1

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 D

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. C

Question 3

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  False

Question 4

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 5

In the equation for calculating a confidence interval for a proportion, $p \pm z _ { a / 2 } \sqrt { \frac { p ( 1 - p ) } { n } }$ 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 6

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 7

Discuss the applications of confidence interval estimation
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 mean volume. The historical standard deviation is 5 milliliters. In filling 250-milliliter bottles, a sample of 20 found a meanvolume of 242 milliliters. $$\begin{array} { | l | l | } 
\hline \text { Velvetta Inc. Shamp o0 } & \
\text { Production } & \
\hline \text { Alpha Vahe } & 0.05 \
\hline \text { Standard Deviation } & 5 \
\hline \text { Sample Size } & 20 \
\hline \text { Sample Mean } & 242 \
\hline
\end{array}$$
-From the table above, determine the cumulative probability for z at a 95% confidence level.

Accepted Answer

A)  0.975 
B)  0.950 
C)  1 
D)  0.987 
A)  0.975 
B)  0.950 
C)  1 
D)  0.987

Question 8

Give an account of biased and unbiased estimators in sampling methods.

Accepted Answer

Statisticians develop many types of esti

Question 9

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 10

The central limit theorem states that if the population is normally distributed, then the .

Accepted Answer

A)  mean of the population can be calculated without using samples 
B)  standard error of the mean will not vary from the population mean 
C)  sampling distribution of the mean will vary from sample to sample 
D)  sampling distribution of the mean will also be normal for any sample size 
A)  mean of the population can be calculated without using samples 
B)  standard error of the mean will not vary from the population mean 
C)  sampling distribution of the mean will vary from sample to sample 
D)  sampling distribution of the mean will also be normal for any sample size

Question 11

Which of the following is a difference between the t-distribution and the standard normal distribution?

Accepted Answer

A)  The t-distribution cannot be calculated without a known standard deviation, while the standard normal distributions can be. 
B)  The standard normal distribution's confidence levels are wider than those of the t-distribution. 
C)  The t-distribution has a larger variance than the standard normal distribution. 
D)  The standard normal distribution is dependent on parameters like degrees of freedom, while t- distribution is not. 
A)  The t-distribution cannot be calculated without a known standard deviation, while the standard normal distributions can be. 
B)  The standard normal distribution's confidence levels are wider than those of the t-distribution. 
C)  The t-distribution has a larger variance than the standard normal distribution. 
D)  The standard normal distribution is dependent on parameters like degrees of freedom, while t- distribution is not.

Question 12

Convenience sampling is an example of a probabilistic sampling method.

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

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 15

Explain selecting a sample using the continuous process sampling methods.

Accepted Answer

Selecting a sample from a continuous man

Question 16

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 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 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 18

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 19

Compare between a prediction interval and a confidence interval.

Accepted Answer

A prediction interval is one that provid

Question 20

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

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

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

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.

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

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

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

Give an account of biased and unbiased estimators in sampling methods.

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

The central limit theorem states that if the population is normally distributed, then the .

Which of the following is a difference between the t-distribution and the standard normal distribution?

Convenience sampling is an example of a probabilistic sampling method.

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

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

Explain selecting a sample using the continuous process sampling methods.

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

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?

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

Compare between a prediction interval and a confidence interval.

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

Business Analytics

Analytics on Spreadsheets

Visualizing and Exploring Data

Descriptive Statistical Measures

Probability Distributions and Data Modeling

Statistical Inference

Trendlines and Regression Analysis

Forecasting Techniques

Introduction to Data Mining

Spreadsheet Modeling and Analysis

Monte Carlo Simulation and Risk Analysis

Linear Optimization

Applications of Linear Optimization

Integer Optimization

Decision Analysis

Filters

Exam 6: Sampling and Estimation

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

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

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.

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

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

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

Give an account of biased and unbiased estimators in sampling methods.

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

The central limit theorem states that if the population is normally distributed, then the .

Which of the following is a difference between the t-distribution and the standard normal distribution?

Convenience sampling is an example of a probabilistic sampling method.

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

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

Explain selecting a sample using the continuous process sampling methods.

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

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?

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

Compare between a prediction interval and a confidence interval.

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

Business Analytics

Analytics on Spreadsheets

Visualizing and Exploring Data

Descriptive Statistical Measures

Probability Distributions and Data Modeling

Statistical Inference

Trendlines and Regression Analysis

Forecasting Techniques

Introduction to Data Mining

Spreadsheet Modeling and Analysis

Monte Carlo Simulation and Risk Analysis

Linear Optimization

Applications of Linear Optimization

Integer Optimization

Decision Analysis

Filters

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