math teacher claims that she has developed a review course

Last updated: 12/10/2023

math teacher claims that she has developed a review course that increases the scores of students on the math ortion of a college entrance exam Based on data from the administrator of the exam scores are normally distributed with 523 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 528 with a standard deviation of 115 Complete parts a through d below c Do you think that a mean math score of 528 versus 523 will affect the decision of a school admissions administrator In other words does the increase in the score have any practical significance OA Yes because every increase in score is practically significant OB No because the score became only 0 96 greater OC Yes because the score became more than 0 96 greater O D No because every increase in score is practically significant d Test the hypothesis at the a 0 10 level of significance with n 350 students Assume that the sample mean is still 528 and the sample standard deviation is still 115 Is a sample mean of 528 significantly more than 523 Conduct a hypothesis test using the P value approach Find the test statistic 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 OA Yes because the P value is greater than 0 10 OB Yes because the P value is less than a 0 10 OC No because the P value is less than 0 10 OD No because the P value is greater than 0 10 What do you conclude about the impact of large samples on the P value OA As n increases the likelihood of not rejecting the null hypothesis increases However large samples tend to overemphasize practically significant differences OB As n increases the likelihood of rejecting the null hypothesis increases However large samples tend to overemphasize practically insignificant differences OC As n increases the likelihood of not 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