a) find the probability that a individual distance is greater than 213.40cm. b) find the probability that the mean for 20 randomly selected distances is greater than 197.80cm. c) why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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The overhead reach distances of adult females are normally distributed with a mean of 200cm and a standard deviation of 8.3cm.

a) find the probability that a individual distance is greater than 213.40cm.

b) find the probability that the mean for 20 randomly selected distances is greater than 197.80cm.

c) why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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