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 = 522. 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 527 with a standard deviation of 113. Complete parts (a) through (d) below. .... (a) State the null and alternative hypotheses. Ho: H = 522 , H1: H 522 (b) Test the hypothesis at the oa = 0.10 level of significance. Isa mean math score of 527 statistically significantly higher than 522? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =O (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 = 522. 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 527 with a standard deviation of 113. Complete parts (a) through (d) below. .... (a) State the null and alternative hypotheses. Ho: H = 522 , H1: H 522 (b) Test the hypothesis at the oa = 0.10 level of significance. Isa mean math score of 527 statistically significantly higher than 522? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =O (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
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![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 = 522. 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 527 with a standard deviation of 113. Complete parts (a) through (d) below.
(a) State the null and alternative hypotheses.
\[ H_0: \mu = 522, \, H_1: \mu > 522 \]
(b) Test the hypothesis at the \(\alpha = 0.10\) level of significance. Is a mean math score of 527 statistically significantly higher than 522? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
\[ t_0 = \boxed{} \]
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1abf5c35-9136-475d-aa34-57d94fb3cf0e%2Fe11e2ada-5773-4046-a755-8d24f4aba16f%2Fs45ujmg_processed.png&w=3840&q=75)
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 = 522. 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 527 with a standard deviation of 113. Complete parts (a) through (d) below.
(a) State the null and alternative hypotheses.
\[ H_0: \mu = 522, \, H_1: \mu > 522 \]
(b) Test the hypothesis at the \(\alpha = 0.10\) level of significance. Is a mean math score of 527 statistically significantly higher than 522? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
\[ t_0 = \boxed{} \]
(Round to two decimal places as needed.)
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