A random sample of 36 women results in a mean height of 64.5 inches. Other studies have shown that women's heights are normally distributed with a standard deviation of 2.3 inches. Construct a 95% confidence interval for the mean height of all women.

a) (63.749, 65.251)

b) (35.425, 36.575)

c) (35.437, 36.563)

d) (63.722, 65.278)