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d) Test the hypothesis at the a = 10. Is a sample mean of 525 sig

d) Test the hypothesis at the a = 10. Is a sample mean of 525 sig

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
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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 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 525 with a standard deviation of 110. Complete parts (a) through (d) below. %3D (d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 525 and the sample standard deviation is still 110. Is a sample mean of 525 significantly more than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =O (Round to two decimal places as needed.) Find the P-value. The P-value is. (Round to three decimal places as needed.)
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 525 with a standard deviation of 110. Complete parts (a) through (d) below. %3D (d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 525 and the sample standard deviation is still 110. Is a sample mean of 525 significantly more than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =O (Round to two decimal places as needed.) Find the P-value. The P-value is. (Round to three decimal places as needed.)
Is the sample mean statistically significantly higher? Yes No What do you conclude about the impact of large samples on the P-value? O A. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. C. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. O O
Transcribed Image Text:Is the sample mean statistically significantly higher? Yes No What do you conclude about the impact of large samples on the P-value? O A. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. C. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. O O
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