Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has improved. The mean math SAT score for a random sample of 40 students from this school is 469 with a standard deviation of 73. Do the data provide sufficient evidence to conclude that the mean math SAT score for students at the school has improved from the previous mean of 475? Perform the appropriate hypothesis test using a significance level of 10% using the critical value method. Be sure to show all six steps, including interpreting your answer within the context of the problem.
TOPIC:One sample t-test for population mean.
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