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 = 514. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students 520 with a standard deviation of 113. Complete parts (a) through (d) below. D. Ho: H= 514, H,: µ>514 (b) Test the hypothesis at the a = 0.10 level significance. Isa mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = 2.25 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.012. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O Yes O No (c) Do you think that a mean math score of 520 versus 514 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? Yes, because every increase in score is practically significant. V No, because the score became only 1.17% greater. (d) Test the hypothesis at the a = 0.10 level test using the P-value approach. significance with n= 400 students. Assume that the sample mean is still 520 and the sample standard deviation is still 113. Is a sample mean of 520 significantly more than 514? Conduct a hypothesis Find the test statistic. to =0 (Round to two decimal places as needed.)
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 = 514. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students 520 with a standard deviation of 113. Complete parts (a) through (d) below. D. Ho: H= 514, H,: µ>514 (b) Test the hypothesis at the a = 0.10 level significance. Isa mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = 2.25 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.012. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O Yes O No (c) Do you think that a mean math score of 520 versus 514 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? Yes, because every increase in score is practically significant. V No, because the score became only 1.17% greater. (d) Test the hypothesis at the a = 0.10 level test using the P-value approach. significance with n= 400 students. Assume that the sample mean is still 520 and the sample standard deviation is still 113. Is a sample mean of 520 significantly more than 514? Conduct a hypothesis Find the test statistic. to =0 (Round to two decimal places as needed.)
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
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 u = 514.
The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 520 with a standard deviation of 113. Complete parts (a) through (d) below.
D. Ho: μ= 514, Hi: μ> 514
(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
to
= 2.25
(Round to two decimal places as needed.)
Find the P-value.
The P-value is 0.012.
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
Yes
No
(c) Do you think that a mean math score of 520 versus 514 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
Yes, because every increase in score is practically significant.
No, because the score became only 1.17% greater.
(d) Test the hypothesis at the a = 0.10 level of significance with n = 400 students. Assume that the sample mean is still 520 and the sample standard deviation is still 113. Is a sample mean of 520 significantly more than 514? Conduct a hypothesis
test using the P-value approach.
Find the test statistic.
to
(Round to two decimal places as needed.)
Expert Solution
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
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman