A survey by American Express Spending reported that the average amount spent on a wedding gift for a close family member is $166. A random sample of 45 people who purchased wedding gifts for a close family member spent an average of $160.50. Assume that the population standard deviation is $38. Use a 95% confidence interval to test the validity of this report and choose the one statement that is correct.

a. Because this confidence interval does include $166, the report by American Express Spending is not validated.
b. Because this confidence interval does include $166, the report by American Express Spending is validated.
c. Because this confidence interval does not include $166, the report by American Express Spending is not validated.
d. Because this confidence interval does not include $166, the report by American Express Spending is validated.