A manufacturer produces bags of sweets. The weights of the bags are independently distributed with mean 30g and standard deviation 5g.
A random sample of 50bags of sweets is taken.
i) State the approximate distribution of the mean weight of the bags in  the sample.
ii) Use this distribution to find the probability that the mean weight of the  bags in the sample is less than 29g.
iii) Suppose instead a random sample of size n bags is taken. It is desired  that the probability that the mean weight of bags in the sample is below  29g is less than 0.05. Find the minimum required value of n.

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Sol Given that XN N 10 Here u 30 6 5 n 50 Approximate distri... View the full answer