In a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $37 and standard deviation of $8. Construct a confidence interval for the population mean amount spent on a child's last birthday gift with 95% confidence. Which of the following intervals is correct?
A) $35.75 to $38.25
B) $36.50 to $37.50
C) $34.75 to $39.25
D) $35.00 to $39.00