The American Breast Feeding Association makes the claim that breastfeeding infants can lead to a significant increase in IQ scores. To test this, a sample of twelve breastfed children were tested using the standard IQ test. Their average score was 110 points, with a standard deviation of 15 points. The national average for their age group is 100 points.
a. What are the null and alternative hypotheses?
b. What is the test statistic for testing these hypotheses?
c. What is the p-value for this test statistic?
d. For which values of alpha would you reject the null hypothesis?