A study was conducted to evaluate the birth weights of infants based on the smok

Question

A study was conducted to evaluate the birth weights of infants based on the smoking status of mothers. The data in table lists the birth weights of infants and the smoking status of their mothers. Perform an Analysis of Variance for the data at an alpha=0.01 and state your conclusions. • State clearly the Null and the Alternate Hypothesis.

Smoking Status Non Smokers Ex-Smokers =1/2 pack/day (greater than/equal to) Birth Weight of Infants (pounds) 8.56 7.39 5.97 7.03 8.47 8.64 6.77 5.24 6.39 8.54 7.26 6.14 9.26 5.37 5.74 6.74 7.98 9.21 8.74 6.62 6.84 7.80 6.30 7.37 9.20 8.20 6.80 4.94 7.50 8.00 7.10 6.34

Explanation / Answer

here null hypothesis:population mean of all categories are equal

alternate hypothesis: at least two categories have diffierent population mean.

applying one way ANOVA on above:

as p value=0.0042 is less then 0.01 level ; we reject null hypothesis.

we have sufficient evidence to conclude that at least two categories have diffierent population mean.

Groups Count Sum Average Variance non smoker 8 64.2 8.025 1.1065 ex-smokers 8 63.15 7.89375 1.3491 <1/2 pack 8 54.68 6.835 0.8741 >1/2 pack 8 50.42 6.3025 0.7106 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 16.6738 3 5.5579 5.5025 0.0042 4.5681 Within Groups 28.2821 28 1.0101 Total 44.9560 31

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