How can they tell that this is a two-tailed test?
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
How can they tell that this is a two-tailed test?
![GUIDED EXERCISE 6
Testing p
A medical research team is studying the effect of a new drug on red blood cells. Let x be a random variable
representing milligrams of the drug given to a patient. Let y be a random variable representing red blood cells
per cubic milliliter of whole blood. A random sample of n =
7 volunteer patients gave the following results.
9.2
10.1
9.0
12.5
8.8
9.1
9.5
y
5.0
4.8
4.5
5.7
5.1
4.6
4.2
Use a calculator to verify that r~
0.689. Then use a 1% level of significance to test the claim that p + 0.
(a) State the null and alternate hypotheses. What is
the level of significance a?
H6: ρ-0 Η: ρ 4 0; α 0.01
rVn – 2
V1 - P
0.689 V7 – 2
V1 - 0.689?
-
1.5406
(b) Compute the t value of the sample test statistic.
2.126
f =
0.7248
(c) Use the Student's t distribution, Table 6 of
Appendix II, to estimate the P-value.
d.f. = n – 2 = 7 – 2 = 5; two-tailed test
/ two-tail area
0.100
0.050
d.f. = 5
2.015
2.571
↑
Sample t = 2.126
0.050 < P-value < 0.100
(d) Do we reject or fail to reject H,?
Since the interval containing the P-value lies to the
right of a =
P-value = 0.0866.
0.01, we do not reject H,. Technology gives
0.01
0.050
0.100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa16d3303-47c0-4975-b36b-f424ce3e8ec7%2F87d935f1-062b-4869-9b54-a9188ce9eadb%2Fkzm520b_processed.png&w=3840&q=75)
Transcribed Image Text:GUIDED EXERCISE 6
Testing p
A medical research team is studying the effect of a new drug on red blood cells. Let x be a random variable
representing milligrams of the drug given to a patient. Let y be a random variable representing red blood cells
per cubic milliliter of whole blood. A random sample of n =
7 volunteer patients gave the following results.
9.2
10.1
9.0
12.5
8.8
9.1
9.5
y
5.0
4.8
4.5
5.7
5.1
4.6
4.2
Use a calculator to verify that r~
0.689. Then use a 1% level of significance to test the claim that p + 0.
(a) State the null and alternate hypotheses. What is
the level of significance a?
H6: ρ-0 Η: ρ 4 0; α 0.01
rVn – 2
V1 - P
0.689 V7 – 2
V1 - 0.689?
-
1.5406
(b) Compute the t value of the sample test statistic.
2.126
f =
0.7248
(c) Use the Student's t distribution, Table 6 of
Appendix II, to estimate the P-value.
d.f. = n – 2 = 7 – 2 = 5; two-tailed test
/ two-tail area
0.100
0.050
d.f. = 5
2.015
2.571
↑
Sample t = 2.126
0.050 < P-value < 0.100
(d) Do we reject or fail to reject H,?
Since the interval containing the P-value lies to the
right of a =
P-value = 0.0866.
0.01, we do not reject H,. Technology gives
0.01
0.050
0.100
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 with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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