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CDA认证小程序

When studying the 'average weight of adult males in the country', which of the following statements is correct?
A. It is a population statistic, commonly denoted by the Greek letter mu μ
B. It is a population parameter, commonly denoted by the letter s
C. It is a sample statistic, commonly denoted by the Greek letter mu μ
D. It is a population parameter, commonly denoted by the Greek letter mu μ
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题目解析
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Parameters refer to characteristics of a population, while statistics refer to characteristics of a sample. Population parameters are commonly denoted by Greek letters, sample statistics by English letters.

正确答案是:D: It is a population parameter, commonly denoted by the Greek letter mu μ。

专业分析:
在统计学中,研究一个国家成年男性的平均体重属于对总体(population)的研究。总体参数(population parameter)是描述总体特征的数值,而样本统计量(sample statistic)是描述样本特征的数值。

选项分析:
A: It is a population statistic, commonly denoted by the Greek letter mu μ
- 错误。总体参数用来描述总体特征,而不是总体统计量。

B: It is a population parameter, commonly denoted by the letter s
- 错误。总体参数确实是描述总体特征的,但“s”通常用于表示样本标准差,而不是总体平均值。

C: It is a sample statistic, commonly denoted by the Greek letter mu μ
- 错误。样本统计量描述的是样本特征,而不是总体特征,而且样本平均值通常用 \(\overline{x}\) 表示,而不是 μ。

D: It is a population parameter, commonly denoted by the Greek letter mu μ
- 正确。总体平均值(即总体参数)通常用希腊字母 μ 表示。

因此,D 选项是正确的答案。