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=524. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 532 with a standard deviation of 117. Complete parts (a) through (d) below. (a) state the full and alterative hypoteses. Ho H = 524, H₁: H > 524 (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 532 statistically significantly higher than 524? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = 0 (Round to two decimal places as needed.)

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