The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 217.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 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.) b. The probability is O: (Round to four decimal places as needed.) c. Choose the correct answer below. A. The normal distribution can be used because the finite population correction factor is small. B. The normal distribution can be used because the probability is less than 0.5 OC. The normal distribution can be used because the mean is large. O D. The normal distribution can be used because the original population has a normal distribution.
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 217.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 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.) b. The probability is O: (Round to four decimal places as needed.) c. Choose the correct answer below. A. The normal distribution can be used because the finite population correction factor is small. B. The normal distribution can be used because the probability is less than 0.5 OC. The normal distribution can be used because the mean is large. O D. The normal distribution can be used because the original population has a normal distribution.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm.
a. Find the probability that an individual distance is greater than 217.50 cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 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.)
b. The probability is|
(Round to four decimal places as needed.)
c. Choose the correct answer below.
A. The normal distribution can be used because the finite population correction factor is small.
B. The normal distribution can be used because the probability is less than 0.5
C. The normal distribution can be used because the mean is large.
D. The normal distribution can be used because the original population has a normal distribution.
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