Find probability that sample mean breaking strength

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The breaking strength (in kg/mmm) for a certain type of fabric has mean 1.86 and standard deviation 0.27.

(a) What is the probability that the sample mean breaking strength of a random sample of 100 pieces of fabric is less than 1 .8 kg/mm?

(b) What is the probability that the sample mean breaking strength of a random sample of 36 pieces of fabric is less than 1 .8 kg/mm?

(c) How large a sample size is needed so that the probability is 0.01 that the sample mean is less than 1.8?

Reference no: EM13112918

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