each distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm. ability that an individual distance is greater than 214.30 cm. ability that the mean for 15 randomly selected distances is greater than 203.50 cm. normal distribution be used in part (b), even though the sample size does not exceed 30? ty is decimal places as needed) ty is . decimal places as needed.) correct answer below. ww mal distribution can be used because the mean is large. mal distribution can be used because the original population has a normal distribution. mal distribution can be used because the finite population correction factor is small. mal distribution can be used because the probability is less than 0.5

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each distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
ability that an individual distance is greater than 214.30 cm.
ability that the mean for 15 randomly selected distances is greater than 203.50 cm.
normal distribution be used in part (b), even though the sample size does not exceed 30?
ty is
decimal places as needed)
ity is
decimal places as needed.)
correct answer below.
R
mal distribution can be used because the mean is large.
mal distribution can be used because the original population has a normal distribution.
mal distribution can be used because the finite population correction factor is small.
mal distribution can be used because the probability is less than 0.5
Transcribed Image Text:each distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm. ability that an individual distance is greater than 214.30 cm. ability that the mean for 15 randomly selected distances is greater than 203.50 cm. normal distribution be used in part (b), even though the sample size does not exceed 30? ty is decimal places as needed) ity is decimal places as needed.) correct answer below. R mal distribution can be used because the mean is large. mal distribution can be used because the original population has a normal distribution. mal distribution can be used because the finite population correction factor is small. mal distribution can be used because the probability is less than 0.5
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation
a. Find the probability that an individual distance is greater than 214.30 cm.
b. Find the probability that the mean for 15 randomly selected distances is greater than 203.50 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)
b. The probability is
(Round to four decimal places as needed.)
c. Choose the correct answer below.
4
OA. The normal distribution can be used because the mean is large.
140
OB. The normal distribution can be used because the original population has a normal distribution.
OC. The normal distribution can be used because the finite population correction factor is small.
O D. The normal distribution can be used because the probability is less than 0.5
Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation a. Find the probability that an individual distance is greater than 214.30 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 203.50 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) b. The probability is (Round to four decimal places as needed.) c. Choose the correct answer below. 4 OA. The normal distribution can be used because the mean is large. 140 OB. The normal distribution can be used because the original population has a normal distribution. OC. The normal distribution can be used because the finite population correction factor is small. O D. The normal distribution can be used because the probability is less than 0.5
Expert Solution
Step 1

Mean= 205

Standard deviation = 8.3

Z-score = (x-mean)/standard deviation

P(X>214.3) = ?

P(x>203.5)=?

 

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