A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 525. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 530 with a standard deviation of 119. Complete parts (a) through (d) below. (a) State the null and alternative hynotheses

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with p = 525.
The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 530 with a standard deviation of 119. Complete parts (a) through (d) below.
(a) State the null and alternative hypotheses.
Ho:
H4:
(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 530 statistically significantly higher than 525? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
to =
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
A. Yes, because the P-value is greater than a = 0.10.
B. No, because the P-value is less than a = 0.10.
C. Yes, because the P-value is less than a = 0.10.
D. No, because the P-value is greater than a = 0.10.
(c) Do you think that a mean math score of 530 versus 525 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
A. No, because every increase in score is practically significant.
B. Yes, because the score became more than 0.95% greater.
C. Yes, because every increase in score is practically significant.
O D. No, because the score became only 0.95% greater.
Question Viewer
Statcrunch
Next
O O
Transcribed Image Text:A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with p = 525. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 530 with a standard deviation of 119. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Ho: H4: (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 530 statistically significantly higher than 525? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? A. Yes, because the P-value is greater than a = 0.10. B. No, because the P-value is less than a = 0.10. C. Yes, because the P-value is less than a = 0.10. D. No, because the P-value is greater than a = 0.10. (c) Do you think that a mean math score of 530 versus 525 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? A. No, because every increase in score is practically significant. B. Yes, because the score became more than 0.95% greater. C. Yes, because every increase in score is practically significant. O D. No, because the score became only 0.95% greater. Question Viewer Statcrunch Next O O
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman