Year 13 CAIE Statistics: Mock Unit Test Walkthrough | A Level CAIE 统计:单元测试模拟卷解析

📚 Year 13 CAIE Statistics: Mock Unit Test Walkthrough | A Level CAIE 统计:单元测试模拟卷解析

This article provides a detailed walkthrough of a mock unit test for Year 13 CAIE Statistics. We cover typical exam-style questions on normal distribution, hypothesis testing using binomial and Poisson, continuous random variables, sampling distributions, confidence intervals, and chi-squared tests. Each question is solved step by step with full explanations in both English and Chinese, helping you master essential techniques and avoid common mistakes.

本文详细解析一份针对 Year 13 CAIE 统计的单元测试模拟卷,涵盖正态分布、二项与泊松假设检验、连续随机变量、抽样分布、置信区间以及卡方检验等典型考题。每道题均逐步解答,并提供中英双语解释,帮助你掌握关键技巧并避开常见误区。


1. Normal Distribution Problem | 正态分布问题

Question 1: The weights of chocolates produced by a machine are normally distributed with mean 25.4 g and standard deviation 1.2 g. A chocolate is selected at random. Find the probability that its weight lies between 24.5 g and 26.0 g. Also find the weight exceeded by only 5% of chocolates.

问题1:某机器生产的巧克力重量服从正态分布,均值为 25.4 g,标准差为 1.2 g。随机选取一块巧克力,求其重量介于 24.5 g 与 26.0 g 之间的概率,

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