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=516.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 521 with a standard deviation of 116. Complete parts (a) through (d) below. 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 datafrom the administrator of the exam, scores are normally distributed with u= 516. The teacher obtains a random sample of 2200 students, puts them through the reviewclass, and finds that the mean math score of the 2200 students is 521 with a standard deviation of 116. Complete parts (a) through (d) below.(c) Do you think that a mean math score of 521 versus 516 will affect the decision of a school admissions administrator? In other words, does the increase in the scorehave any practical significance?Yes, because every increase in score is practically significant.No, because the score became only 0.97% greater.(d) Test the hypothesis at the a = 0.10 level of significance with n = 350 students. Assume that the sample mean is still 521 and the sample standard deviation is still116. Is a sample mean of 521 significantly more than 516? Conduct a hypothesis test using the P-value approach.Find the test statistic.to(Round to two decimal places as needed.)Find the P-value.The P-value is(Round to three decimal places as needed.)ARost Is the sample mean statistically significantly higher?NoYesWhat do you conclude about the impact of large samples on the P-value?A. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificantdifferences.B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.C. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.D. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.

Question

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=516.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 521 with a standard deviation of 116. Complete parts​ (a) through​ (d) below. 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 datafrom the administrator of the exam, scores are normally distributed with u= 516. The teacher obtains a random sample of 2200 students, puts them through the reviewclass, and finds that the mean math score of the 2200 students is 521 with a standard deviation of 116. Complete parts (a) through (d) below.(c) Do you think that a mean math score of 521 versus 516 will affect the decision of a school admissions administrator? In other words, does the increase in the scorehave any practical significance?Yes, because every increase in score is practically significant.No, because the score became only 0.97% greater.(d) Test the hypothesis at the a = 0.10 level of significance with n = 350 students. Assume that the sample mean is still 521 and the sample standard deviation is still116. Is a sample mean of 521 significantly more than 516? Conduct a hypothesis test using the P-value approach.Find the test statistic.to(Round to two decimal places as needed.)Find the P-value.The P-value is(Round to three decimal places as needed.)ARost Is the sample mean statistically significantly higher?NoYesWhat do you conclude about the impact of large samples on the P-value?A. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificantdifferences.B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.C. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.D. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.

Accepted Answer

Answered: Image /qna-images/answer/d110c3bd-f420-40d5-bfaa-f13c9396f33c.jpg