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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Births by Day of Week An obstetrician knew that there were more live births during the week than on weekends. She wanted to discover whether the distribution for number of births was the same for each of the 5 days of the week. She randomly selected eight dates for each of the 5 days of the week and obtained the data shown.
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
|
10,456 |
11,621 |
11,084 |
11,171 |
11,545 |
|
10,023 |
11,944 |
11,570 |
11,745 |
12,321 |
|
10,691 |
11,045 |
11,346 |
12,023 |
11,749 |
|
10,283 |
12,927 |
11,875 |
12,433 |
12,192 |
|
10,265 |
12,577 |
12,193 |
12,132 |
12,422 |
|
11,189 |
11,753 |
11,593 |
11,903 |
11,627 |
|
11,198 |
12,509 |
11,216 |
11,233 |
11,624 |
|
11,465 |
13,521 |
11,818 |
12,543 |
12,543 |
(a)Â State the null and alternative hypotheses.
(b)Â The sums of the ranks in each category are as follows:
|
Monday Tuesday Wednesday |
Thursday |
Friday |
|||
|
Sample |
 |
 |
 |
 |
 |
|
size |
8 |
8 |
8 |
8 |
8 |
|
Sum of |
 |
 |
 |
 |
 |
|
ranks |
48 |
226 |
144 |
194.5 |
207.5 |
Use this information to compute the test statistic.
(c) What is the critical value at the α = 0.05 level of significance?
(d)Â State your conclusion.
(e)Â Draw side-by-side boxplots to support your conclusion.
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