③ For $n=10$ measurement we have the - sample mean $\bar{X}_{10}=20.2$ & $s^2_{10}=0.96$ Assuming the results represent the realization of $\{X_i\}_{i=1}^{10}$ independent with the same distribution $N(\mu, \sigma)$ for the unknown $\mu$ & $\sigma$ find the 90% confidence interval for $\mu$. Here $s^2_n = \frac{1}{n} \sum_{i=1}^{n}(X_i - \bar{X}_n)^2$ & $\bar{X}_n = \frac{1}{n} \sum_{i=1}^{n} X_i$
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2$ and sample variance $s^2_{10}=0.96$ for a sample size of $n=10$. Show more…
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