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(d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 528 and the sample standard deviation is still 113. Is a sample mean of 528 significantly more than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. t6 =0 (Round to two decimal places as needed.) Find the P-value. The P-value is N. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O A. Yes, because the P-value is less than a = 0.10. O B. No, because the P-value is less than a = 0.10. O C. Yes, because the P-value is greater than a = 0.10. O D. No, because the P-value is greater than a = 0.10. 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 insignificant differences. O B. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. OC. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. O D. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.

(d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 528 and the sample standard deviation is still 113. Is a sample mean of 528 significantly more than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. t6 =0 (Round to two decimal places as needed.) Find the P-value. The P-value is N. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O A. Yes, because the P-value is less than a = 0.10. O B. No, because the P-value is less than a = 0.10. O C. Yes, because the P-value is greater than a = 0.10. O D. No, because the P-value is greater than a = 0.10. 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 insignificant differences. O B. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. OC. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. O D. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.

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 = 523 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 528 with a standard deviation of 113. Complete parts (a) through (d) below. C. No, because the score became only 0.96% greater. D. Yes, because every increase in score is practically significant. (d) Test the hypothesis at the a = 0.10 level of significance with n= 375 students. Assume that the sample mean is still 528 and the sample standard deviation is still 113. Is a sample mean of 528 significantly more than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. to %3D (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? O A. Yes, because the P-value is less than a = 0.10. B. No, because the P-value is less than a = 0.10. C. Yes, because the P-value is greater than a = 0.10. D. No, because the P-value is greater than a = 0.10. 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 insignificant differences. B. As n increases, the likelihood of not 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 rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.
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 = 523 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 528 with a standard deviation of 113. Complete parts (a) through (d) below. C. No, because the score became only 0.96% greater. D. Yes, because every increase in score is practically significant. (d) Test the hypothesis at the a = 0.10 level of significance with n= 375 students. Assume that the sample mean is still 528 and the sample standard deviation is still 113. Is a sample mean of 528 significantly more than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. to %3D (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? O A. Yes, because the P-value is less than a = 0.10. B. No, because the P-value is less than a = 0.10. C. Yes, because the P-value is greater than a = 0.10. D. No, because the P-value is greater than a = 0.10. 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 insignificant differences. B. As n increases, the likelihood of not 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 rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.
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