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 = 514. 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 520 with a standard deviation of 113. 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> 514, H,: µ#514 Ο Β. Ho: μ < 514, H1: μ > 514 O c. Ho: μ= 514, Η1 : μ#514 D. Ho: H= 514, H,: µ > 514 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.)

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 H = 525. 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 530 with a standard deviation of 119. Complete parts (a) through (d) below. C. Yes, because every increase in score is practically significant. D. No, because the score became only 0.95% greater. (d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 530 and the sample standard deviation is still 119. Is a sample mean of 530 significantly more than 525? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.) %3D Find the P-value. The P-value is (Round to three decimal…

Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest

The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50.  If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be?  Assume that the scores are normally distributed.