Using the provided dataset below, determine whether the mean birthweight for inf

Question

Using the provided dataset below, determine whether the mean birthweight for infants differs significantly according to mothers’ smoking status by using a one way ANOVA in Stata. Make sure to include all 5 hypothesis testing steps in your writeup. If you found a significant difference, how might you determine which specific groups differ? Are there any potential problems with the method you have proposed? Define the parameter of interest. State the hypotheses Determine the test statistic and p-value considering any necessary assumptions Decide whether to reject or not reject the null hypothesis Clearly state a conclusion in the context of the problem Specific Comparisons: How would you figure out which specific groups differ? Potential Problems: What are the potential problems with the method you have proposed to figure out which groups differ?

7.5 Non-smokers 6.199999809 Non-smokers 6.800000191 Non-smokers 7.400000095 Non-smokers 9.199999809 Non-smokers 8.300000191 Non-smokers 7.599999905 Non-smokers 5.800000191 Ex-smokers 7.300000191 Ex-smokers 8.199999809 Ex-smokers 7.099999905 Ex-smokers 7.800000191 Ex-smokers 5.900000095 Light smokers 6.199999809 Light smokers 5.800000191 Light smokers 4.699999809 Light smokers 8.300000191 Light smokers 7.199999809 Light smokers 6.199999809 Light smokers 6.800000191 Heavy smokers 6.199999809 Heavy smokers 5.699999809 Heavy smokers 4.900000095 Heavy smokers 6.199999809 Heavy smokers 7.099999905 Heavy smokers 5.800000191 Heavy smokers 5.400000095 Heavy smokers

Explanation / Answer

Result of ANova

Ho :  the mean birthweight for infants does not differs significantly according to mothers’ smoking status

Ha :  the mean birthweight for infants differs significantly according to mothers’ smoking status

Determine the test statistic = 4.3124

and p-value = 0.0149

Decide whether to reject or not reject the null hypothesis

since p-value < 0.05 (level of signiifcance)

we reject the null hypothesis

Conclusion -  the mean birthweight for infants differs significantly according to mothers’ smoking status

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Non-Smokers 7 53 7.571428571 0.949047594 Ex- -Smokers 5 36.20000029 7.240000057 0.832999837 Light -Smokers 7 44.29999971 6.328571388 1.299047762 Heavy -Smokers 8 48.0999999 6.012499988 0.518392809 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 11.50253108 3 3.834177028 4.312420497 0.01492893 3.027998 Within Groups 20.44932114 23 0.889100919 Total 31.95185222 26

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