The average final exam score for the statistics course is 76%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57 What can be concluded at the the a = 0.10 level of significance level of significance?
The average final exam score for the statistics course is 76%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57 What can be concluded at the the a = 0.10 level of significance level of significance?
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
questions: d-g
e: p value is > or ≤
f: reject or fail to reject or accept
![The average final exam score for the statistics course is 76%. A professor wants to see if the average final
exam score for students who are given colored pens on the first day of class is lower. The final exam scores
for the 13 randomly selected students who were given the colored pens are shown below. Assume that the
distribution of the population is normal.
76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57
What can be concluded at the the a = 0.10 level of significance level of significance?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F817cf9be-305b-4eb8-bd90-bd4e965d73e5%2F58587845-3ac6-48da-8801-bba505e780e7%2Fum8ilb_processed.png&w=3840&q=75)
Transcribed Image Text:The average final exam score for the statistics course is 76%. A professor wants to see if the average final
exam score for students who are given colored pens on the first day of class is lower. The final exam scores
for the 13 randomly selected students who were given the colored pens are shown below. Assume that the
distribution of the population is normal.
76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57
What can be concluded at the the a = 0.10 level of significance level of significance?
![d. The p-value
(Please show your answer to 4 decimal places.)
e. The p-value is (?v a
f. Based on this, we should Select an answerv the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton mean is significantly lower than 76 at a = 0.10, so there is
statistically significant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is lower than 76.
O The data suggest that the population mean final exam score for students who are given colored
pens at the beginning of class is not significantly lower than 76 at a = 0.10, so there is
statistically insignificant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is lower than 76.
O The data suggest the population mean is not significantly lower than 76 at a = 0.10, so there
is statistically insignificant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is equal to 76.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F817cf9be-305b-4eb8-bd90-bd4e965d73e5%2F58587845-3ac6-48da-8801-bba505e780e7%2Fobkizqq_processed.png&w=3840&q=75)
Transcribed Image Text:d. The p-value
(Please show your answer to 4 decimal places.)
e. The p-value is (?v a
f. Based on this, we should Select an answerv the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton mean is significantly lower than 76 at a = 0.10, so there is
statistically significant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is lower than 76.
O The data suggest that the population mean final exam score for students who are given colored
pens at the beginning of class is not significantly lower than 76 at a = 0.10, so there is
statistically insignificant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is lower than 76.
O The data suggest the population mean is not significantly lower than 76 at a = 0.10, so there
is statistically insignificant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is equal to 76.
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.
Step by step
Solved in 2 steps with 1 images
![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.Similar questions
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