1) For a value of population parameter 0 equal to 2, which one of the following cases corresponds to an unbiased estimator with higher precision? E(Ô) = 2 and Var(ô) = 2 E(ô – 0) = 0 and Var(ô) = 2 E(ô – 0) = 2 and Var(Ô) = 1 E(Ô) = 2 and Var(ô ) = 1 2) In the ANOVA for a CRD, which one of the following statements is not correct? The ANOVA F-test for treatment main effects is a right-hand one-tailed test. The linear model is Xij = µ + ai + Eij where i = 1, ..., n and j = 1, ., p. The experimental error ɛij is assumed to follow a normal distribution with a zero mean and a variance o. In the case of more than two treatments, the LSD procedure of multiple pairwise comparisons of treatment means should be applied only after the hypothesis of equality of all the treatment population means has been tested and rejected by the ANOVA F-test for treatment main effects.
1) For a value of population parameter 0 equal to 2, which one of the following cases corresponds to an unbiased estimator with higher precision? E(Ô) = 2 and Var(ô) = 2 E(ô – 0) = 0 and Var(ô) = 2 E(ô – 0) = 2 and Var(Ô) = 1 E(Ô) = 2 and Var(ô ) = 1 2) In the ANOVA for a CRD, which one of the following statements is not correct? The ANOVA F-test for treatment main effects is a right-hand one-tailed test. The linear model is Xij = µ + ai + Eij where i = 1, ..., n and j = 1, ., p. The experimental error ɛij is assumed to follow a normal distribution with a zero mean and a variance o. In the case of more than two treatments, the LSD procedure of multiple pairwise comparisons of treatment means should be applied only after the hypothesis of equality of all the treatment population means has been tested and rejected by the ANOVA F-test for treatment main effects.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![1) For a value of population parameter 0 equal to 2, which one of the following cases corresponds
to an unbiased estimator with higher precision?
O E(Ô) = 2 and Var( ) = 2
E(Ô – 0) = 0 and Var( ) = 2
E(ô – 0) = 2 and Var( Ô) = 1
E(Ô) = 2 and Var(ô ) = 1
2)
In the ANOVA for a CRD, which one of the following statements is not correct?
The ANOVA F-test for treatment main effects is a right-hand one-tailed test.
The linear model is Xij = µ + ai + Eij where i = 1, .., n and j = 1, ..., p.
The experimental error ɛij is assumed to follow a normal distribution with a zero mean and a
variance o.
In the case of more than two treatments, the LSD procedure of multiple pairwise comparisons
of treatment means should be applied only after the hypothesis of equality of all the treatment
population means has been tested and rejected by the ANOVA F-test for treatment main
effects.
3) Ho: u = 4 is tested against H1: µ 4 at a = 0.01, with a sample mean X = 2 and a sample variance s?
= 9 obtained from an i.i.d. random sample of size n = 11. On the side of this test, a 99% confidence
interval for u can be built as:
O (L,U]=2±tg9 (10) /9/11
O (L,U]=2±tqse5 (10) /9/11
[L,U]=4±to99s(10)/9/11
0.995
[L,U]=4±t,9»(10) /9/11
0.99
4)
Among the statements below, which one is not correct in the statistical inference for one population
mean?
Increasing the significance level a increases the power of the statistical test.
A Type I error is made when the null hypothesis is rejected while it is true.
The rejection of the null hypothesis means that the null hypothesis is false.
The risk of making a Type II error decreases when the sample size increases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a6b0336-9bcc-4101-b57e-fb5dab8beb59%2Ffdc6c0a0-b75b-4d42-aaf4-434bd0a85e1d%2Fax5j588_processed.png&w=3840&q=75)
Transcribed Image Text:1) For a value of population parameter 0 equal to 2, which one of the following cases corresponds
to an unbiased estimator with higher precision?
O E(Ô) = 2 and Var( ) = 2
E(Ô – 0) = 0 and Var( ) = 2
E(ô – 0) = 2 and Var( Ô) = 1
E(Ô) = 2 and Var(ô ) = 1
2)
In the ANOVA for a CRD, which one of the following statements is not correct?
The ANOVA F-test for treatment main effects is a right-hand one-tailed test.
The linear model is Xij = µ + ai + Eij where i = 1, .., n and j = 1, ..., p.
The experimental error ɛij is assumed to follow a normal distribution with a zero mean and a
variance o.
In the case of more than two treatments, the LSD procedure of multiple pairwise comparisons
of treatment means should be applied only after the hypothesis of equality of all the treatment
population means has been tested and rejected by the ANOVA F-test for treatment main
effects.
3) Ho: u = 4 is tested against H1: µ 4 at a = 0.01, with a sample mean X = 2 and a sample variance s?
= 9 obtained from an i.i.d. random sample of size n = 11. On the side of this test, a 99% confidence
interval for u can be built as:
O (L,U]=2±tg9 (10) /9/11
O (L,U]=2±tqse5 (10) /9/11
[L,U]=4±to99s(10)/9/11
0.995
[L,U]=4±t,9»(10) /9/11
0.99
4)
Among the statements below, which one is not correct in the statistical inference for one population
mean?
Increasing the significance level a increases the power of the statistical test.
A Type I error is made when the null hypothesis is rejected while it is true.
The rejection of the null hypothesis means that the null hypothesis is false.
The risk of making a Type II error decreases when the sample size increases.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman