Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the 'errors ' around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. What is the minimum value of n required for the mean total fat content of n samples of 1 g of cheese, to differ from the population mean by more than 0.01 (unit) with a probability of 0.10?

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Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the 'errors ' around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape.

What is the minimum value of n required for the mean total fat content of n samples of 1 g of cheese, to differ from the population mean by more than 0.01 (unit) with a probability of 0.10?

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