Question: A gender study in facebook is trying to determine if women in general have on average more friends than men. We can assume that the variances of the amount of friends that men and women have are equal, but unknown. A random sample of 45 men indicated an average of 112 friends with a standard deviation of 15.23 and a random sample of 42 women indicated and average of 129 friends with a standard deviation of 18.21.

a) State the null and alternative hypothesis

b) At an alpha level of 0.05, is there evidence that women on average have more friends than men? (Justify and state a conclusion).