大样本下均值之差假设检验例题，懿说学区7

懿说学区（7） | SPSS统计分析（16）单样本T检验实例

Yishuo school district (7) | SPSS statistical analysis (16) single sample t-test example

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"Share interests, spread happiness, increase knowledge, and leave beauty! Hello, everyone, this is Xiaobian. Welcome to continue to visit the content of the school, and we will wholeheartedly bring you more and better content sharing.

上一期我们一起分享了什么是单样本T检验，也叙述了单样本T检验的内容和用途。今天，我们通过一次实训案例来进一步了解单样本T检验。

n the last issue, we shared what is single sample t-test, and also described the content and purpose of single sample t-test. Today, we will learn more about the single sample t-test through a training case.

问题提出：某生产食盐的生产线，其生产的袋装食盐的标准质量是500克，现随机抽取10袋，其质量分别为495克，502克，510克，497克，506克，498克，503克，492克，504克，501克。假设数据呈正态分布请检验生产线的总体情况。

The problem is put forward: the standard quality of bagged salt produced by a production line producing salt is 500 grams. Now 10 bags are randomly selected, and their masses are 495 grams, 502 grams, 510 grams, 497 grams, 506 grams, 498 grams, 503 grams, 492 grams, 504 grams and 501 grams respectively. Assuming that the data is normally distributed, please check the overall situation of the production line.

从问题描述来看，这是一个十分典型的比较样本均值和总体均值的T检验问题。我们先设置假设。

原假设：μ=μ0

备择假设：μ≠μ0

From the description of the problem, this is a very typical t-test problem to compare the sample mean and the overall mean. Let's set assumptions first.

Original assumption: μ=μ 0

Alternative assumptions: μ ≠ μ 0

我们首先打开SPSS软件，建立数据文件，新建一个名为“Weight”的变量，录入相应数据。

First, we open SPSS software, create a data file, create a new variable named "weight", and enter the corresponding data.

然后，我们在SPSS的主页面，按照“分析->比较平均值->单样本T检验（S）”进行操作，打开对话框，选择需要检测的变量，设置其检验的置信区间。点击“确定”，程序输出结果后，我们可以针对运行结果进行分析。

Then, on the main page of SPSS, we operate according to "analysis - > comparison average - > single sample t-test (s)", open the dialog box, select the variable to be tested, and set the confidence interval of its test. Click "OK" and after the program outputs the results, we can analyze the running results.

当置信水平为95%时，显著性水平为0.05，双尾检测概率P值为0.650，大于0.05，故原假设成立，也就是说，抽样袋装食盐的质量与500克无显著性差异，有理由相信生产线工作状态正常。

When the confidence level is 95%, the significance level is 0.05, and the double tail detection probability p value is 0.650, which is greater than 0.05, so the original hypothesis is tenable, that is, there is no significant difference between the quality of sampled bagged salt and 500 grams, and there is reason to believe that the production line is in normal working condition.

下期预告：下一节，我们将会讲述

来自两个总体的独立样本之间的

T检验方法，用以分析两个总体均值

之间的显著性差异。

Forecast for next issue: in the next section, we will talk about the t-test method between independent samples from two populations to analyze the significant difference between the mean values of the two populations.

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That's all for today's sharing. If you have unique ideas about today's article, please leave us a message. Let's meet tomorrow. I wish you a happy day today!

参考资料：百度百科，《SPSS 23 统计分析实用教程》

翻译：百度翻译

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