18The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm.
a. Find the probability that an individual distance is greater than 210.00 cm. (Round to four decimal places as needed.)
b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm. Round to four decimal places as needed.)
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? Round to four decimal places as needed.)
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