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# The Association Between Maternal Age and Birth Weight

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A small pilot study is being conducted to determine the association between maternal age and birth weight.

First, from all the single births in 2009 at Hospital X with mothers aged less than or equal to 20 years, we randomly selected 15 records. We also selected randomly 17 records from all the single births with mothers aged > 20 years. Then we classified each newborn as weighting less than or equal to 2500 grams or > 2500 grams.

a) State the relevant null and alternative hypotheses.
b) Using a type I error level of 0.05, perform the appropriate statistical test.
c) Explain your results in 2-3 sentences.
d) If we extended the study and randomly selected 230 records from all the single births in 2009 at Hospital X (the data is shown below), would the maternal age be related to the birth-weight of the infant? Conduct test of hypothesis. Interpret the results.

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