The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 204.30 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 192.80 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.)

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The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.6 cm.
a. Find the probability that an individual distance is greater than 204.30 cm.
rk
b. Find the probability that the mean for 20 randomly selected distances is greater than 192.80 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.)
est
1) is
202 Enter your answer in the answer box and then click Check Answer.
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Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 204.30 cm. rk b. Find the probability that the mean for 20 randomly selected distances is greater than 192.80 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.) est 1) is 202 Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Chec
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