The datasetlowbwt contains information for a sample of 100 low birth weight infants born in two teaching hospitals in Boston. Measurements of systolic blood pressure are in the variablesbp, and values of the Apgar score recorded five minutes after birth (an index of neonatal asphyxia or oxygen deprivation) are in the variableapgar5.

1. Create a two-way scatter plot for these data.
2. Does Apgar score tend to increase or decrease as systolic blood pressure increases?
3. Estimate the correlation between systolic blood pressure and five-minute Apgar score for this population of low birth weight infants. What can you say about the strength of the relationship?
4. Test the hypothesis that the population correlation coefficient is zero (Ho: = 0) against a two-sided alternative. Under the null hypothesis, the test statistic