In: Statistics and Probability
The math department is trying to determine if their tests have a gender bias. They look at scores at old exams which were normally distributed and take a random sample of students. They found that the scores of the 16 male students had a normal distribution with a mean of 73.4 and a standard deviation of 7.1. The scores of the 17 females students had a normal distribution with a mean of 77.4 and a standard deviation of 6.2. Using a significance level of 0.05, test the claim the tests have no gender bias.
Therefore the null hypothesis is not rejected. Hence we conclude that There is not enough evidence to claim that there is gender bias at 0.05 level of Significance.