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CIE 9231 2025 Nov Paper 41 Q3

A Level / CIE / FS

CIE 9231 2025 Nov Paper 41 Paper · Question 3

题目

Problem

A random sample of 10 newborn baby boys is taken and their masses in kg are recorded. From this sample, the population standard deviation of all newborn baby boys is estimated as 0.60.6 kg. A random sample of 5 newborn baby girls is taken and their masses in kg are recorded as follows.

3.93.12.93.13.63.9 \quad 3.1 \quad 2.9 \quad 3.1 \quad 3.6

It is assumed that the masses of newborn baby boys and girls have the same population standard deviation, σ\sigma kg.

By pooling the two samples, calculate an estimate of σ\sigma.

[4]
题目中文翻译

随机抽取 10 名新生男婴,并记录他们的质量(kg)。根据这个样本,所有新生男婴总体标准差的估计值为 0.60.6 kg。随机抽取 5 名新生女婴,并记录她们的质量(kg)如下。

3.93.12.93.13.63.9 \quad 3.1 \quad 2.9 \quad 3.1 \quad 3.6

假设新生男婴和女婴的质量具有相同的总体标准差 σ\sigma kg。

通过合并两个样本,计算 σ\sigma 的估计值。

解答