Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places.
In 1990, the average math SAT score for students at one school was 475. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed. He picks a random sample of 40 students and obtains their the mean math SAT score, which is 472. Test whether the claim that the mean math SAT score for all students at the school has changed from the previous mean of 475 is supported or not supported. Assume that the population standard deviation is 73.
◦ not supported
◦ supported