Complete the partial ANOVA table. Is the corresponding p-value greater or less than 5%? Justify your response.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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At what age do babies learn to crawl? Does it take longer to learn in the winter when babies are often bundled in clothes that restrict their movement? Data were collected from parents who brought their babies into the University of Denver Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age at which their child was first able to creep or crawl a distance of four feet within one minute. The resulting data were grouped by month of birth. The data are for January, May, and September

Average
Birth month     crawling age     SD       n
January                 29.84           7.08    32
May                      28.58           8.07    27
September           33.83           6.93    38

Crawling age is given in weeks. Assume the data come from three independent simple random samples, one from each of the three populations (babies born in a particular month) and that the populations of crawling ages have normal distributions.  A partial ANOVA table is given below:

Analysis of Variance for crawling age
Source             df         Sums of squares         Mean square     F-ratio 
Birth month     XX           505.26                          XXXXXX         XXXX    
Error                XX           XXXXXX                        XXXXXX
Total                 XX          5529.56

Note the following: F2,94,0.05 = 3.09.  

-Complete the partial ANOVA table. Is the corresponding p-value greater or less than 5%? Justify your response.  (Note that this question is not asking you to write out all steps of the test…just answer the question and justify your response.)

 

 

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