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According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters and σ: X~ Select an answer (= Select an answer N B x² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. σ= (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown ET to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~ Select an answer ✓ (x = Select an answer N F unknown T B X² , ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)

According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters and σ: X~ Select an answer (= Select an answer N B x² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. σ= (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown ET to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~ Select an answer ✓ (x = Select an answer N F unknown T B X² , ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question 4 According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters and o: P HH2 ttttt X~ Select an answer ✓ (μ = Select an answer B X² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. , 0 = (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown Once to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X Select an answer ✓ (x = Select an answer N unknown T B X² ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)
Transcribed Image Text:Question 4 According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters and o: P HH2 ttttt X~ Select an answer ✓ (μ = Select an answer B X² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. , 0 = (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown Once to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X Select an answer ✓ (x = Select an answer N unknown T B X² ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)
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