An OBGYN wants to determine if the distributions of births are different for the periods of January to March, April to June, July to September, and October to December. She randomly selected 10 days within each time frame and obtaine

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An OBGYN wants to determine if the distributions of births are different for the periods of 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 given. 

a) Find the sum of the ranks for each time period. Use this information to calculate the test statistic.

b)What is the critical value at the 5% level of significance? 

c) What is the correct decision of the test?

Births
Month
10456 Jan-Mar
11574 Jan-Mar
12321 Jan-Mar
11661 Jan-Mar
8521 Jan-Mar
11621 Jan-Mar
11321 Jan-Mar
7706 Jan-Mar
10872 Jan-Mar
10837 Jan-Mar
10799 Apr-June
11743 Apr-June
11657 Apr-June
11608 Apr-June
10982 Apr-June
9184 Apr-June
12357 Apr-June
12251 Apr-June
11916 Apr-June
11212 Apr-June
11465 July-Sept
12475 July-Sept
Transcribed Image Text:Births Month 10456 Jan-Mar 11574 Jan-Mar 12321 Jan-Mar 11661 Jan-Mar 8521 Jan-Mar 11621 Jan-Mar 11321 Jan-Mar 7706 Jan-Mar 10872 Jan-Mar 10837 Jan-Mar 10799 Apr-June 11743 Apr-June 11657 Apr-June 11608 Apr-June 10982 Apr-June 9184 Apr-June 12357 Apr-June 12251 Apr-June 11916 Apr-June 11212 Apr-June 11465 July-Sept 12475 July-Sept
12454 July-Sept
12193 July-Sept
11244 July-Sept
12081 July-Sept
11387 July-Sept
9055 July-Sept
12319 July-Sept
12927 July-Sept
11261 Oct-Dec
11406 Oct-Dec
11627 Oct-Dec
8706 Oct-Dec
12022 Oct-Dec
11930 Oct-Dec
11054 Oct-Dec
11431 Oct-Dec
12618 Oct-Dec
10824 Oct-Dec
Transcribed Image Text:12454 July-Sept 12193 July-Sept 11244 July-Sept 12081 July-Sept 11387 July-Sept 9055 July-Sept 12319 July-Sept 12927 July-Sept 11261 Oct-Dec 11406 Oct-Dec 11627 Oct-Dec 8706 Oct-Dec 12022 Oct-Dec 11930 Oct-Dec 11054 Oct-Dec 11431 Oct-Dec 12618 Oct-Dec 10824 Oct-Dec
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