An obstetrician wants to determine if the distribution of births is the same for the periods January to March, April to June, July to September, and October to December. She randomly selected 10 days within each time frame and obtained the results shown in the table in the next column.

(a) State the null and alternative hypotheses.
(b) The sums of the ranks in each category are as follows:

Use this information to compute the test statistic.
(c) What is the critical value at the α = 0.05 level of significance?
(d) State your conclusion.
(e) Draw side-by-side boxplots to support your conclusion.