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,...

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Extracted text: 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= 523. 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 528 with a standard deviation of 113. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Но H1: (b) Test the hypothesis at the ¤ = 0.10 level of significance. Is a mean math score of 528 statistically significantly higher than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =O (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 A. No, because the P-value is less than a = 0.10. B. Yes, because the P-value is greater than a = 0.10. C. No, because the P-value is greater than a = 0.10. D. Yes, because the P-value is less than a = 0.10. (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? O A. No, because every increase in score is practically significant. B. Yes, because the score became more than 0.96% greater. C. No, because the score became only 0.96% greater. O D. 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 528 and the sample standard deviation is still 113. Is a sample mean of 528 significantly more than 523? Conduct a