The measurement of head circumference is closely tracked in pediatric medicine. Microcephaly (defined as a head circumference 2.0 standard deviations below average for weight and gender) or...

The measurement of head circumference is closely tracked in pediatric medicine.  Microcephaly (defined as a head circumference 2.0 standard deviations below average for weight and gender) or macrocephaly (defined as a head circumference 2.5 standard deviations above average for weight and gender) are markers of possible developmental abnormalities.  According to Örmeci, Gürbüz, Ayata, and Çetin (1997), the average cranium for an adult female in Turkey measures 54.57 cm in circumference, with a standard deviation of 1.61 cm.  We use the responses students in our class made to the survey at the beginning of the semester to compare the average head size for the women in our class in the United States to the population average taken from the women in Turkey.

What statistical test should be used and why?