Question

Two new mathematics learning techniques are being tested. The researchers are unsure which one, if any, will be better. Two hundred students were randomly selected from a population. Ninety of them were randomly assigned to use Technique A, and 110 of them were randomly assigned to use Technique B. Each student spent 30 minutes learning the technique to which they were assigned, and then were asked to complete a task. The time to complete the task was recorded, in seconds. A shorter time indicates better mastery of the task. The data are below:

Technique A: sample average = 26.1, sample SD = 7.2 Technique

B: sample average = 27.9, sample SD = 12.4

(a) State hypotheses relevant to the research question.

(b) Perform a test of the hypotheses from (a) using a significance level of 10%. Make sure to compute the test statistic and P-value, and make a conclusion in context.

Answer 1

(a)

Let sample 1 : Technique A

Sample 2 : Technique B

Since researcher wants to test which technique is better if any. Since sample mean is less for technique A so let us test whether technique A is better than technique B.

(b)

Conclusion: There is no evidence to conclude that there is a significant difference between the technique.