Question 10

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

Question 10

Answer part C only!!

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 µ= 520.
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 526 with a standard deviation of 114. Complete parts (a) through (d) below.
.....
(a) State the null and alternative hypotheses.
Ho:
H - 520, H,: H
520
(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
to
(Round to two decimal places as needed.)
= 2.47
Find the P-value.
The P-value is 0.007.
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
A. Yes, because the P-value is less than a = 0.10.
B. No, because the P-value is greater than a = 0.10.
C. No, because the P-value is less than a = 0.10.
D. Yes, because the P-value is greater than a = 0.10.
(c) Do you think that a mean math score of 526 versus 520 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
O A. Yes, because the score became more than 1.15% greater.
B. No, because every increase in score is practically significant.
O C. No, because the score became only 1.15% greater.
O D. Yes, because every increase in score is practically significant.
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 µ= 520. 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 526 with a standard deviation of 114. Complete parts (a) through (d) below. ..... (a) State the null and alternative hypotheses. Ho: H - 520, H,: H 520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to (Round to two decimal places as needed.) = 2.47 Find the P-value. The P-value is 0.007. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? A. Yes, because the P-value is less than a = 0.10. B. No, because the P-value is greater than a = 0.10. C. No, because the P-value is less than a = 0.10. D. Yes, because the P-value is greater than a = 0.10. (c) Do you think that a mean math score of 526 versus 520 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? O A. Yes, because the score became more than 1.15% greater. B. No, because every increase in score is practically significant. O C. No, because the score became only 1.15% greater. O D. Yes, because every increase in score is practically significant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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