The random variable $$\(X\)$$ is normally distributed with unknown mean $$\(\mu\)$$ and known variance $$\(\sigma^{2}\)$$ A random sample of 25 observations of $$\(X\)$$ produced a 95\% confidence interval for $$\(\mu\)$$ of $$\((26.624,28.976)\)$$ Calculate the value of $$\(a\)$$ (6)

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