12) Last year, the average math SAT score for students at one school was 475. Th
ID: 3049614 • Letter: 1
Question
12) Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean math SAT score for a sample of students was 481. Is there statistically significant evidence that the new teaching method is effective? If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. a) Does the result have statístical significance? Why or why not? b) Does the result have practical significance? Explain.Explanation / Answer
a) Calculating z value
z = (Sample mean - population mean) / Sample std dev
= (481 - 475) / sqrt of (0.3*0.7)
=13.09.
Assuming binomial distribution to calculate std dev.
Since z value is greater than 1.96 for confidence interval we have enough evidence to reject the null hypothesis.
So we accept the alternate hypothesis.
Therefore there is statistically enough evidence that new learning method is effective.
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