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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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 = 518. The teacher obtaips 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 113. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Ho: H 518, H: H 518 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 518? Conduct a hypothesis test using the P-value approach. Find the test statistic. (Round to two decimal places as needed.)
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the…
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