Question

1. Design an experiment to test the hypothesis that students who have knowledge of the hindsight bias do better on exams than students who have no knowledge of this bias. Be sure to use and apply all the elements necessary to run a true experiment.

Answer 1

Field of experiment is a class of students with hindsight bias knowledge and without hindsight bias knowledge

20 students of the class were conducted an examination for 100 marks and the scores were recorded in 2 groups ( with hindsight bias knowledge and without it ) . The data is

With Hindsight bias	87	91	82	78	87	72	96	89	93	88
Without Hindsight bias	68	76	72	79	67	70	70	71	69	64

Next step is to frame the hypothesis

Null Hypothesis,H₀: The mean score of the two groups of students is the same (ie)

Alternative Hypothesis,H_a^: The mean score of the group of students with hindsight bias knowledge is higher than the mean score of the group of students without hindsight bias knowledge (ie)

Level of significance = 0.05 (The level at which the test is performed )

Test statistic :

Since the samples are independent and the size is less than 30 , 2 independent sample t test is used

The test statistic is

The value of t is 5.922

p value is 0.000

Since p value is less than 0.05 , we reject H₀ and conclude that the mean score of students with hindsight bias knowledge is higher than the mean score of students without hindsight bias at 5 ℅ level of significance.