The Overhead Reach Distances Of Adult Females

The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.6cm.a. Find the probability that an individual distance is greater than 212.50cm.b. Find the probability that the mean for 15 randomly selected distances is greater than 200.70cm.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

Question
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.6cm.a. Find the probability that an individual distance is greater than 212.50cm.b. Find the probability that the mean for 15 randomly selected distances is greater than 200.70cm.c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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