Researchers studied the association between birth mother’s smoking habits and th

Question

Researchers studied the association between birth mother’s smoking habits and the birth weights of their babies. A sample of size n = 11 subjects was selected from each of the four groups.

Group 1 – nonsmokers

Group 2 – smokers who smoked less that 1 pack per day

Group 3 – smokers who smoke more than 1 Pack but less than 2 packs per day

Group 4 –smokers who smoke more than 2 packs per day.

The summary statistic of baby weights (in gram) are given as follows:

a) Find the degrees of freedoms

b) Find SSB and MSB

c) Find SSW and MSW

d) Find the numerical value of F statistic

e) Find the p-value (or a range from F table)

nonsmokers <1pack 1-2packs >2packs mean 3649.73 3168.64 2554.73 1992.00 standard deviation 317.12 260.39 391.61 241.99

Explanation / Answer

Let us prepare anova table as follows:

SS df MS F p Between: 17,205,577.322 3 5,735,192.441 60.332 0.000 Within: 3,802,420.486 40 95,060.512 Total: 21,007,997.808 43

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