Quizzol

QUESTION:

College Students and Depression: A public health official is studying differences in depression among students at two different universities. They collect a random sample of students independently from each of the two universities and administer a well known depression inventory. A score of 5 or above indicates some depression. A score above 15 indicates that active treatment is necessary.

Sample Statistics

	Size(n)	Mean $(\bar{x})$	SD(s)
Sample 1	50	9.2	.85
Sample 2	45	8.7	1.2

The official conducts a two-sample t-test to determine whether these data provide significant evidence that students at University 1 are more depressed than students at University 2. The test statistic is t = 2.64 with a P-value 0.005.
Which of the following is an appropriate conclusion?

The samples provide significant evidence that students at University 1 are more depressed than students at University 2.

The samples do not provide statistically significant evidence.

We can not use the t-test in this case because the variables (depression scores) are likely skewed to the right at each university.

ANSWER:

The samples provide significant evidence that students at University 1 are more depressed than students at University 2.

Good job! A P-value this small indicates statistically significant results.

Posted by Cleveland on September 22, 2024