Question 1

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

Accepted Answer

A) N and n have the same probability of being selected. 
B) n has a probability of 0.5 of being selected. 
C) n has a probability of 0.05 of being selected. 
D) n has the same probability of being selected. 
A) N and n have the same probability of being selected. 
B) n has a probability of 0.5 of being selected. 
C) n has a probability of 0.05 of being selected. 
D) n has the same probability of being selected. D

Question 2

A student wants to determine if pennies are really fair when flipped, meaning equally likely to land heads up or tails up. He flips a random sample of 50 pennies and finds that 28 of them land heads up. If p denotes the true probability of a penny landing heads up when flipped, what are the appropriate null and alternative hypotheses?

Accepted Answer

A) H0: p ≥ 0.5, Ha: p 0: p ≤ 0.5, Ha: p ≠ 0.5. 
C) H0: p = 0.5, Ha: p ≠ 0.5. 
D) H0: p ≥ 28, Ha: p < 28. 
A) H0: p ≥ 0.5, Ha: p 0: p ≤ 0.5, Ha: p ≠ 0.5. 
C) H0: p = 0.5, Ha: p ≠ 0.5. 
D) H0: p ≥ 28, Ha: p < 28. C

Question 3

The random numbers generated using Excel's RAND function follows a __________ probability distribution between 0 and 1.

Accepted Answer

A) normal 
B) uniform 
C) binomial 
D) random 
A) normal 
B) uniform 
C) binomial 
D) random B

Question 4

The basis for using a normal probability distribution to approximate the sampling distribution of the sample means and population mean 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 5

A random sample selected from an infinite population is a sample selected such that each element selected comes from the same __________ and each element is selected __________.

Accepted Answer

A) population; independently 
B) population; simultaneously 
C) sample; independently 
D) sample; simultaneously 
A) population; independently 
B) population; simultaneously 
C) sample; independently 
D) sample; simultaneously

Question 6

Larger values of α have the disadvantage of increasing the probability of making a

Accepted Answer

A) Type I error. 
B) Type II error. 
C) random sampling error. 
D) normal probability error. 
A) Type I error. 
B) Type II error. 
C) random sampling error. 
D) normal probability error.

Question 7

In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is

Accepted Answer

A) 21. 
B) 22. 
C) 23. 
D) 24. 
A) 21. 
B) 22. 
C) 23. 
D) 24.

Question 8

Statistical significance at the 0.01 level is ___________ than significance at the 0.05 level.

Accepted Answer

A) more difficult to achieve 
B) easier to achieve 
C) less costly 
D) less informative 
A) more difficult to achieve 
B) easier to achieve 
C) less costly 
D) less informative

Question 9

When the expected value of the point estimator is equal to the population parameter it estimates, it is said to be

Accepted Answer

A) unbiased. 
B) precise. 
C) symmetric. 
D) predicted. 
A) unbiased. 
B) precise. 
C) symmetric. 
D) predicted.

Question 10

Using an α = 0.04, a confidence interval for a population proportion is determined to be 0.65 to 0.75. If the level of significance is decreased, the interval for the population proportion

Accepted Answer

A) becomes narrower. 
B) becomes wider. 
C) does not change. 
D) remains the same. 
A) becomes narrower. 
B) becomes wider. 
C) does not change. 
D) remains the same.

Question 11

The owners of a fast food restaurant have automatic drink dispensers to help fill orders more quickly. When the 12 ounce button is pressed, they would like for exactly 12 ounces of beverage to be dispensed. There is, however, some variation in this amount. The company does not want the machine to systematically over fill or under fill the cups. Which of the following gives the correct set of hypotheses?

Accepted Answer

A) H0: u > 12, Ha: u 0: u = 12, Ha: u ≠ 12 C) H0: u ≤ 12, Ha: u > 12 D) H0: u ≥ 12, Ha: u < 12 A) H0: u > 12, Ha: u 0: u = 12, Ha: u ≠ 12 C) H0: u ≤ 12, Ha: u > 12 D) H0: u ≥ 12, Ha: u < 12

Question 12

A simple random sample of 31 observations was taken from a large population. The sample mean equals 5. Five is a

Accepted Answer

A) population parameter. 
B) point estimate. 
C) population mean. 
D) standard error. 
A) population parameter. 
B) point estimate. 
C) population mean. 
D) standard error.

Question 13

What are the two decisions that you can make from performing a hypothesis test?

Accepted Answer

A) Reject the null hypothesis; Fail to reject the null hypothesis 
B) Accept the null hypothesis; Accept the alternative hypothesis 
C) Make a Type I error; Make a Type II error 
D) Reject the alternative hypothesis; Accept the null hypothesis 
A) Reject the null hypothesis; Fail to reject the null hypothesis 
B) Accept the null hypothesis; Accept the alternative hypothesis 
C) Make a Type I error; Make a Type II error 
D) Reject the alternative hypothesis; Accept the null hypothesis

Question 14

The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the

Accepted Answer

A) population parameter. 
B) point estimate. 
C) population mean. 
D) standard error. 
A) population parameter. 
B) point estimate. 
C) population mean. 
D) standard error.

Question 15

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

Accepted Answer

A) becomes larger. 
B) becomes smaller. 
C) stays the same. 
D) fluctuates. 
A) becomes larger. 
B) becomes smaller. 
C) stays the same. 
D) fluctuates.

Question 16

The CEO of a company wants to estimate the percent of employees that use company computers to go on Facebook during work hours with 95% confidence. He selects a random sample of 150 of the employees and finds that 53 of them logged onto Facebook that day. What is the point estimate of the proportion of the population that logged onto Facebook that day?

Accepted Answer

A) 0.25 
B) 0.35 
C) 0.53 
D) 0.65 
A) 0.25 
B) 0.35 
C) 0.53 
D) 0.65

Question 17

A null and alternative hypothesis for a one proportion z test are given as H0: p = 0.8, Ha: p < 0.8. This hypothesis test is

Accepted Answer

A) lower-tailed. 
B) upper-tailed. 
C) two-tailed. 
D) these hypotheses are incorrectly stated. 
A) lower-tailed. 
B) upper-tailed. 
C) two-tailed. 
D) these hypotheses are incorrectly stated.

Question 18

A large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times follow a normal distribution with mean time ? = 45 hours. The production manager has developed a new procedure for producing the part. He believes that the new procedure will decrease the population mean amount of time required to produce the part. After training a group of production line workers, a random sample of 25 parts will be selected and the average amount of time required to produce the parts will be determined. If the switch is made to the new procedure, the cost to implement the new procedure will be more than offset by the savings in manpower required to produce the parts. Use the hypotheses: Ho: ? ? 45 hours and Ha: ? < 45 hours. Determine the p value of the test statistic if the sample mean amount of time is $\bar { x }$ = 43.118 hours with the sample standard deviation s = 5.5 hours.

Accepted Answer

A) 0.04973 
B) 0.04999 
C) 0.95818 
D) 0.04354 
A) 0.04973 
B) 0.04999 
C) 0.95818 
D) 0.04354

Question 19

You are __________ to commit a Type I error using the 0.05 level of significance than using the 0.01 level of significance.

Accepted Answer

A) more likely 
B) less likely 
C) equally likely 
D) twice as likely 
A) more likely 
B) less likely 
C) equally likely 
D) twice as likely

Question 20

The purpose of statistical inference is to make estimates or draw conclusions about a

Accepted Answer

A) sample based upon information obtained from the population. 
B) population based upon information obtained from the sample. 
C) statistic based upon information obtained from the population. 
D) mean of the sample based upon the mean of the population. 
A) sample based upon information obtained from the population. 
B) population based upon information obtained from the sample. 
C) statistic based upon information obtained from the population. 
D) mean of the sample based upon the mean of the population.

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

The random numbers generated using Excel's RAND function follows a __________ probability distribution between 0 and 1.

The basis for using a normal probability distribution to approximate the sampling distribution of the sample means and population mean is

A random sample selected from an infinite population is a sample selected such that each element selected comes from the same and each element is selected .

Larger values of α have the disadvantage of increasing the probability of making a

In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is

Statistical significance at the 0.01 level is ___________ than significance at the 0.05 level.

When the expected value of the point estimator is equal to the population parameter it estimates, it is said to be

Using an α = 0.04, a confidence interval for a population proportion is determined to be 0.65 to 0.75. If the level of significance is decreased, the interval for the population proportion

A simple random sample of 31 observations was taken from a large population. The sample mean equals 5. Five is a

What are the two decisions that you can make from performing a hypothesis test?

The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

A null and alternative hypothesis for a one proportion z test are given as H₀: p = 0.8, H_a: p < 0.8. This hypothesis test is

You are __________ to commit a Type I error using the 0.05 level of significance than using the 0.01 level of significance.

The purpose of statistical inference is to make estimates or draw conclusions about a

Introduction

Descriptive Statistics

Data Visualization

Descriptive Data Mining

Probability: an Introduction to Modeling Uncertainty

Linear Regression

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Exam 6: Statistical Inference

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

The random numbers generated using Excel's RAND function follows a __________ probability distribution between 0 and 1.

The basis for using a normal probability distribution to approximate the sampling distribution of the sample means and population mean is

A random sample selected from an infinite population is a sample selected such that each element selected comes from the same __________ and each element is selected __________.

Larger values of α have the disadvantage of increasing the probability of making a

In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is

Statistical significance at the 0.01 level is ___________ than significance at the 0.05 level.

When the expected value of the point estimator is equal to the population parameter it estimates, it is said to be

Using an α = 0.04, a confidence interval for a population proportion is determined to be 0.65 to 0.75. If the level of significance is decreased, the interval for the population proportion

A simple random sample of 31 observations was taken from a large population. The sample mean equals 5. Five is a

What are the two decisions that you can make from performing a hypothesis test?

The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

A null and alternative hypothesis for a one proportion z test are given as H0: p = 0.8, Ha: p < 0.8. This hypothesis test is

You are __________ to commit a Type I error using the 0.05 level of significance than using the 0.01 level of significance.

The purpose of statistical inference is to make estimates or draw conclusions about a

Introduction

Descriptive Statistics

Data Visualization

Descriptive Data Mining

Probability: an Introduction to Modeling Uncertainty

Linear Regression

Time Series Analysis and Forecasting

Predictive Data Mining

Spreadsheet Models

Monte Carlo Simulation

Linear Optimization Models

Integer Linear Optimization Models

Nonlinear Optimization Models

Decision Analysis

Filters

A random sample selected from an infinite population is a sample selected such that each element selected comes from the same and each element is selected .

A null and alternative hypothesis for a one proportion z test are given as H₀: p = 0.8, H_a: p < 0.8. This hypothesis test is