Components are manufactured such that their length in $$\(\mathrm{mm}\)$$ is normally distributed with mean $$\(\mu\)$$ and variance $$\(\sigma^{2}\)$$. Below is a $$\(95 \%\)$$ confidence interval for $$\(\mu\)$$ calculated from a random sample of components. $$\[ (11.52,13.75) \]$$ Using the same random sample, find a 90\% confidence interval for $$\(\mu\)$$. (6) Four $$\(90 \%\)$$ confidence intervals are found from independent random samples.

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