A math teacher claims that she has developed a review course

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 = 518. 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 525 with a standard deviation of 115. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let be the mean score. Choose the correct answer below. OB. H0: 518 Oc. Ho: = 518, H,: > 518 OD. Ho: = 518, H,: #518 (b) Test the hypothesis at the = 0.10 level of significance. Is a mean math score of525 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.) Find the P-value The P-value is Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O No Yes (c) Do you think that a mean math score of 525 versus 518 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?

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