Question 1

Which of the following statements is correct regarding the percentile points of the F-distribution? $\begin{array}{|l|l|}
\hline  A.&F_{0.05,10,20}=1 / F_{0.95,10,20}\
\hline  B.&F_{00.05,10,20}=1 / F_{0.05,20,10}\
\hline  C.&F_{0.95,10,20}=1 / F_{0.95,20,10}\
\hline  D.&F_{0.95,10,20}=1 / F_{0.05,20,10}\
\hline 
\end{array}$

Accepted Answer

The answer of Which of the following statements is correct...

Question 2

Which of the following best describes the Chi-square distribution? A. The Chi-square distribution is continuous.
B. The Chi-square distribution is positively skewed.
C. The Chi-square distribution is used in statistical inference of the population variance.
D. All of these choices are correct.

Accepted Answer

The answer of Which of the following best describes the...

Question 3

The value in an F-distribution with $v _ { 1 } = 3$ and $v _ { 2 } = 7$ degrees of freedom such that the area to its left is 0.99 is 0.036.

Accepted Answer

A) True 
 B)False

Question 4

The value in a chi-squared distribution with 6 degrees of freedom such that the area to its left is 0.05 is 12.5916.

Accepted Answer

A) True 
 B)False

Question 5

A statistician wants to test for the equality of means in two independent samples drawn from normal populations. However, he will not perform the equal-variance t-test of the difference between the population means if the condition necessary for its use is not satisfied. The data are as follows: $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } 
\hline \text { Sample 1: } & 7 & 9 & 6 & 15 & 7 & 10 & 8 & 12 & & \
\hline \text { Sample 2: } & 2 & 25 & 9 & 15 & 10 & 18 & 5 & 22 & 27 & 3 \
\hline
\end{array}$$ Estimate with 95% confidence the ratio of the two population variances.

Accepted Answer

LCL = ( @#IMG-DLM& @#IMG-DLM&

Question 6

Which of the following statements is not correct for an F-distribution? $\begin{array}{|l|l|}
\hline \text { A. } & \text { Variables that are } F \text {-distributed range from } 0 \text { to } c . \
\hline \text { B. } & \text { The exact shape of the distribution is determined by two numbers of degrees of freedom. } \
\hline \text { C. } & \begin{array}{l}
\text { The number of degrees of freedom for the denominator is al ways smaller than the number } \
\text { of degrees of freedom for the numerator. }
\end{array} \
\hline \text { D. } & \begin{array}{l}
\text { The number of degrees of freedom for the numer ator can be larger than, smaller than, or } \
\text { equal to the number of degrees of freedom for the denominator. }
\end{array} \
\hline
\end{array}$

Accepted Answer

The answer of Which of the following statements is not...

Question 7

Which of the following is the most common null hypothesis used when testing for equality of two population variances? $\begin{array}{|l|l|}
\hline \text { A } & \text { Ho: } \sigma_{1} 2 / \sigma_{2}^{2}>1 \
\hline \text { B } & \text { Ho: } \sigma_{1}^{2} / \sigma_{2}^{2}<1 \
\hline \text { C } & \text { Ho: } \sigma_{1}^{2} / \sigma_{2}^{2}=1\\hline  D.&\text { None of these choices are correct. }\
\hline 
\end{array}$

Accepted Answer

The answer of Which of the following is the most...

Which of the following statements is correct regarding the percentile points of the F-distribution? A. =1/ B. =1/ C. =1/ D. =1/

Which of the following best describes the Chi-square distribution? A. The Chi-square distribution is continuous. B. The Chi-square distribution is positively skewed. C. The Chi-square distribution is used in statistical inference of the population variance. D. All of these choices are correct.

The value in an F-distribution with $v _ { 1 } = 3$ and $v _ { 2 } = 7$ degrees of freedom such that the area to its left is 0.99 is 0.036.

The value in a chi-squared distribution with 6 degrees of freedom such that the area to its left is 0.05 is 12.5916.

Which of the following is the most common null hypothesis used when testing for equality of two population variances? A Ho: 2/>1 B Ho: /<1 C Ho: /=1 D. None of these choices are correct.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

Exam 15: Inference About Population Variances

Which of the following statements is correct regarding the percentile points of the F-distribution? A. =1/ B. =1/ C. =1/ D. =1/

Which of the following best describes the Chi-square distribution? A. The Chi-square distribution is continuous. B. The Chi-square distribution is positively skewed. C. The Chi-square distribution is used in statistical inference of the population variance. D. All of these choices are correct.

The value in an F-distribution with v1=3v _ { 1 } = 3v1​=3 and v2=7v _ { 2 } = 7v2​=7 degrees of freedom such that the area to its left is 0.99 is 0.036.

The value in a chi-squared distribution with 6 degrees of freedom such that the area to its left is 0.05 is 12.5916.

Which of the following is the most common null hypothesis used when testing for equality of two population variances? A Ho: 2/>1 B Ho: /<1 C Ho: /=1 D. None of these choices are correct.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

The value in an F-distribution with $v _ { 1 } = 3$ and $v _ { 2 } = 7$ degrees of freedom such that the area to its left is 0.99 is 0.036.