# The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 210.00 210.00 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 198.70 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

###### Question:

The overhead reach distances of adult females are normally distributed with a mean of
200 cm and a standard deviation of
8 cm.
a. Find the probability that an individual distance is greater than
210.00
210.00 cm.
b. Find the probability that the mean for
25
randomly selected distances is greater than
198.70 cm.
c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

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