TABLE 9-9
The president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean SAT score is lower than previous years. He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53. The university's record indicates that the mean SAT score for entering students from previous years is 1,520. He wants to find out if his claim is supported by the evidence at a 5% level of significance.
-Referring to Table 9-9, if these data were used to perform a two-tail test, the p-value would be 0.1254.

Question

Quizplus · Accepted Answer

Since the question mentions a two-tail test, we can find the p-value by looking at the row in Table 9-9 that matches the sample size (n = 20) and the corresponding t-value for a two-tail test with 19 degrees of freedom (df = n-1). In this case, the t-value is -1.729, which corresponds to a p-value of 0.1254. This means that if we were to perform a two-tail test at a significance level of 5%, we would fail to reject the null hypothesis that the mean SAT score for this year's entering class is not significantly different from the mean SAT score for previous years. Therefore, the answer is A, true.

TABLE 9-9 The President of a University Claimed That the Entering Class