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

Question

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.
a. Find the probability that an individual distance is greater than 209.30 cm.
b. Find the probability that the mean for 15 randomly selected distances is greater than 198.50 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
a. The probability is.
(Round to four decimal places as needed.)

Kunduz · Accepted Answer

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