Question

Using the Kruskal-Wallis Test, test each claim. Please show work and or chart so i understand how to do it! Exercise 7. Births by week day. A researcher knows that there are more births during the week than on the weekend. The researcher wants to know if the distribution for the number of births is the same for the five week days. The data gathered are shown in the table below. At α = 0.05, can you conclude that the distribution for the number of births is the same for the five week days? Monday 10,456 10,023 10,691 10,283 10,265 11,189 11,198 11,465 Tuesday 11,621 11,944 11,045 12,927 12,577 11,753 12,509 13,521 Wednesday 11,084 11,570 11,346 11,875 12,193 11,593 11,216 11,818 Thursday 11,171 11,745 12,023 12,433 12,132 11,903 11,233 12,543 Friday 11,545 12,321 11,749 12,193 12,422 11,627 11,624 12,543

Answer 1

H0: The distribution for the number of births is t the same for the five week days

H1: The distribution for the number of births is not the same for the five week days

Let the los be alpha = 0.05

From the given data

Treatment					Ranking
Monday	Tuesday	Wednesday	Thursday	Friday	Monday	Tuesday	Wednesday	Thursday	Friday
10456	11621	11084	11171	11545	4	18	7	8	15
10023	11944	11570	11745	12321	1	27	16	21	32
10691	11045	11346	12023	11749	5	6	13	28	22
10283	12927	11875	12433	12193	3	39	25	34	30.5
10265	12577	12193	12132	12422	2	38	30.5	29	33
11189	11753	11593	11903	11627	9	23	17	26	20
11198	12509	11216	11233	11624	10	35	11	12	19
11465	13521	11818	12543	12543	14	40	24	36.5	36.5
				Rank Sums R	48	226	143.5	194.5	208
				Group Size (n )	8	8	8	8	8
				R^2/n	288	6384.5	2574.031	4728.781	5408

df =   4

Critical value = Chisquare critical value = 9.487729037
Here H value > Critical value so we reject H0

P-value = 0.000849083
Alpha =   0.05

Here P-value < alpha 0.05 so we do not accept H0.
Thus we conclude that  the distribution for the number of births is not the same for the five week days