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The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm...

The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 196.20 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Math   Statistics-And-Probability   
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Because the original population has a normal distribution, the distribution of the sample mean is normal for any sample size.

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