8. When analyzing a standard sample of barium chloride dihydrate, the following values of the mass fraction of barium in the sample were obtained,%: 56.10; 56.18; 56.10 and 56.14. Calculate a confidence interval for the mean of this analysis with a confidence level of 0.95. Does the actual value of the determined quantity, calculated from the chemical formula of the analyzed salt, fit into this interval? If the actual value is out of range, find what the systematic error of the determination is.

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