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 = 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 112. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. Ο Α. Ho: μ> 520, H : μ# 520 Ο Β. Ηo: μ= 520, Η,: μ > 520 O C. Ho: H = 520, H, : µ # 520 O D . Ho: μ< 520, H : μ > 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 =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 u = 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 112. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. Ο Α. Ho: μ> 520, H : μ# 520 Ο Β. Ηo: μ= 520, Η,: μ > 520 O C. Ho: H = 520, H, : µ # 520 O D . Ho: μ< 520, H : μ > 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 =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:Find the P-value.
The P-value is
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
No
Yes
(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?
Yes, because every increase in score is practically significant.
No, because the score became only 1.15% greater.
ARostConnuortor
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 = 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 112. Complete parts (a) through (d) below.
...
(a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.
O A. Ho: H> 520, H,: µ#520
O B. Ho: µ = 520, H1: µ > 520
O C. Ho: H= 520, H,: µ+ 520
O D. Ho: H< 520, H,: µ > 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 =0
(Round to two decimal places as needed.)
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