You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image>The data in Table 8.2 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. Let X = the number of colors on a national flag. <image 1> Construct a 95% confidence interval for the true mean number of colors on national flags. The 95% confidence interval is_____.
A. (2.92, 3.60)
B. (2.93, 3.60)
C. (2.92, 3.59)
D. (2.93, 3.59)

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
D
The data in Table 8.2 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. Let X = the number of colors on a national flag. <image 1> Construct a 95% confidence interval for the true mean number of colors on national flags. The 95% confidence interval is_____.
A. (2.92, 3.60)
B. (2.93, 3.60)
C. (2.92, 3.59)
D. (2.93, 3.59)

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val