Homework Help is Here – Start Your Trial Now!
Math
Statistics
Question 10

Question 10

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
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 (c) below. --- **(a) State the null and alternative hypotheses.** \( H_0: \mu = 520 \ , \ H_1: \mu > 520 \) **(b) Test the hypothesis at the \(\alpha = 0.10\) 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. \( t_0 = 2.47 \) (Round to two decimal places as needed.) - 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 \(\alpha = 0.10\). - B. No, because the P-value is greater than \(\alpha = 0.10\). - C. No, because the P-value is less than \(\alpha = 0.10\). - D. Yes, because the P-value is greater than \(\alpha = 0.10\). **(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?** - ○ A. Yes, because the score became more than 1.15% greater. - ○ B. No, because every increase in score is practically significant. - ● C. No, because the score became only 1.15% greater. - ○ 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 (c) below. --- **(a) State the null and alternative hypotheses.** \( H_0: \mu = 520 \ , \ H_1: \mu > 520 \) **(b) Test the hypothesis at the \(\alpha = 0.10\) 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. \( t_0 = 2.47 \) (Round to two decimal places as needed.) - 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 \(\alpha = 0.10\). - B. No, because the P-value is greater than \(\alpha = 0.10\). - C. No, because the P-value is less than \(\alpha = 0.10\). - D. Yes, because the P-value is greater than \(\alpha = 0.10\). **(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?** - ○ A. Yes, because the score became more than 1.15% greater. - ○ B. No, because every increase in score is practically significant. - ● C. No, because the score became only 1.15% greater. - ○ 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

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS