Mathematics, 24.04.2020 19:47 orangeicecream
A random sample of 40 PCC students are surveyed about their commuting time. A mean of 24.5 minutes was calculated from the survey. The population standard deviation is known to be 5.8 minutes. Construct a 95% confidence interval for the average commuting time for all PCC students. Round your answer to the nearest tenth of a minute.
Answers: 1
![CI=\mu\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\\\=24.5\pm1.96\times \frac{5.8}{\sqrt{40}}\\\\\\=24.5\pm 1.8\\\\=[22.7,\ \ \ 26.3]](/tpl/images/0624/7694/24257.png)
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