Question

The following 14 Questions (Q18- Q31) are based on the following example:

A researcher want to determine whether high school students who attend an SAT prepared course score significantly different on an SAT than students who did not attend. For those who do not attend the course the population mean is 1050. The 16 students who attend the prep course average an 1200 on the SAT, with a sample standard deviation of 100. On the basis of this data, can the researcher conclude that the preparation course has a significant difference on SAT scores? Set Alpha to .01.

Answer 1

* Null hypothesis, Ho: M = 1050 Alternative hypothesis, Hai M #1050 Sample size, n = 16 sample mean, X = 1200 sample standard deviation, s=100 FM * Test Statistic, t = Sa 1200-1050 = 100/16 = 6 * degrees of freedom = n-1= 16-1=15 significance level, d = 0.01 * evitical value, tale = I 2.9467 (two-tailed) :. The rejection regions are: t <-2:9467 or t>2.9467 rejection region rejection region Z -ZE -2.9467 2.9467 6 * Since our test statistic falls in the rejection region, we reject the hull hypothesis and conclude that the preparation course has a significant difference on SAT scores.