P.value (Round to three 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 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 112. Complete parts (a) through (d) below. (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.)

P1.10

Find p and q. Round your answers to three decimal places. n= 129 and X= 66 くA く