题目
Problem
A random sample of 12 observations of a normal random variable is taken. The results give unbiased estimates for the population mean and variance as 10.24 and 0.52 respectively.
Test, at the 10% significance level, the null hypothesis that the population mean is 10.6 against the alternative hypothesis that the population mean is less than 10.6.
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题目中文翻译
从一个正态随机变量中抽取容量为 12 的随机样本。结果给出总体均值和总体方差的无偏估计分别为 10.24 和 0.52。
在 10% 显著性水平下，检验原假设“总体均值为 10.6”，备择假设为“总体均值小于 10.6”。