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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 ? 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 ? 2500 grams or > 2500 grams.
The data is summarized in the table below:
Birth weight
Mother's age
? 2500 grams
> 2500 grams
Total
? 20 years
5
10
15
> 20 years
4
13
17
9
23
32
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.
40
60
100
34
96
130
74
156
230
What descriptive summary measures would you use to present the data. which measure is the best to use and which is the worse and why?
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