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An air-conditioner servicing company had repaired air-conditioners over the last year. A random sample of 40 of these repairs showed a mean repair cost of

An air-conditioner servicing company had repaired air-conditioners

over the last year. A random sample of 40 of these repairs showed

a mean repair cost of RM80.61 and a standard deviation of

RM31.04.

Find the probability that a randomly selected sample mean

falls within RM10 of the mean of all repair costs.

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