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 withH= 519. 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 524 with a standard deviation of 117. Complete parts (a) through (d) below.(a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.O A. Ho: µ=519, H,: u519О В. На: и«519, Н, и> 519OC. Ho: H= 519, H,: µ> 519O D. Ho: µ> 519, H,: µ+519(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 524 statistically significantly higher than 519? Conduct a hypothesis test using the P-value approach.Find the test statistic.to =0(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?NoO Yes(c) Do you think that a mean math score of 524 versus 519 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?O No. because the score became only 0.96% greater.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 524 and the sample standard deviation is still 117. Is a sample mean of 524 significantly more than 519? Conduct ahypothesis test using the P-value approach.Find the test statistic.to =0(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 YesO NoWhat 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.O B. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant 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.

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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 u=519. 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 524 with a standard deviation of 117. Complete parts (a) through (d) be (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: u= 519, H,: µ#519 ОВ. Но и«519, н, и» 519 OC. Ho: H=519, H,: µ> 519 OD. Ho: u>519, H,: µ#519 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 524 statistically significantly higher than 519? 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.

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 u=519. 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 524 with a standard deviation of 117. Complete parts (a) through (d) be (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: u= 519, H,: µ#519 ОВ. Но и«519, н, и» 519 OC. Ho: H=519, H,: µ> 519 OD. Ho: u>519, H,: µ#519 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 524 statistically significantly higher than 519? 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.

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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