(i) A sample consists of the following values: 10, 8, 6, 4 Determine the range of values within which the true value of the mean of the population has a 97.5% probability of lying. (ii) In order to increase accuracy a further four values are obtained. These are: 4.6, 6.8, 8, 9.5 With this extra information determine the range of values within which the mean value has a 97.5% probability of lying.

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