An instructor is interested in checking whether attending labs improves students

Question

An instructor is interested in checking whether attending labs improves students' performance on their finals. The instructor asks a TA to investigate this problem. The TA decides to conduct a one-sided two sample t-test. He randomly chooses 30 students in the course who never missed a lab, as well as 25 students from the same course who missed at least 1 lab. Let 11 denote the mean final exam score of all students in the course who never missed a lab. Let 22 denote the mean final exam score of all students in the course who missed at least 1 lab. The hypothesis test can be formulated as H0:1=2H0:1=2 vs HA:1>2HA:1>2. The P-value is 0.001.

Part a) What type of study is this?
An observational study.
An experiment with a completely randomized design.
An experiment with a randomized block design.
An experiment with a matched pairs design.

Part b) What can we conclude from this study? (Select all that apply)
A. Since the P-value is very small, the TA can report to the instructor that there is strong evidence to show attending labs improves performance on finals.
B. Since the null hypothesis is rejected at 5% level, the TA can report to the instructor that there is sufficient evidence to show attending labs improves performance on finals.
C. There is insufficient evidence to answer the instructor's question.

Explanation / Answer

Ans a) It is an experiment with a completely randomised design as the sample is completely random

Ans b) A & B as small P value signifies rejection of HO which is what we are doing in B

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