Q1) You are attending high school reunion where discussion of birthdays comes up as part of game which is being played. As birthdays are disclosed one of your friends mentions that inordinate number of class members appear to have been born in March and April. You are curious about this comment and decide to do some testing to find out if your friend's comment bears any merit. Clearly, there is no reason to suspect that distribution of 180 birthdays (total attendees at reunion) would follow anything other than uniform distribution.

Data you have collected appear below.

a) Set up hypotheses to test if distribution of birthdays can be considered coming from uniform distribution.

b) Carry out required test and mention your conclusions.