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miranda911
05.09.2019 •
Mathematics
In a study of the length of time that students require to earn bachelor’s degrees, 60 students are randomly selected and they are found to have a sample mean of 4.8 years and a sample standard deviation of 2.2 years, construct a 95% confidence interval estimate of the population mean.
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Ответ:
Step-by-step explanation:
The confidence interval to estimate the population mean is given by :_
Given : Sample size : n= 60 , the sample is a large sample (n>30), so we can apply z-test.
Sample mean =![\overline{x}=4.8](/tpl/images/0223/9504/e9ee8.png)
Standard deviation :![\sigma=2.2](/tpl/images/0223/9504/803a3.png)
Level of confidence:![1-\alpha=0.95](/tpl/images/0223/9504/de49a.png)
Then, critical z-value =![z_{\alpha/2}=1.96](/tpl/images/0223/9504/6c626.png)
Then, a 95% confidence interval estimate of the population mean will be
Hence, the 95% confidence interval to estimate the population mean =
.
Ответ: