and find the probability that the length of pregnancy for a randomly selected female is more than 313 days. 0.0 x (Round the answer to 4 decimal places)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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According to a study, the length of pregnancy has unknown distribution with a mean of 274 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 11.
1. Describe the probability distribution of X and state its parameters μ and o:
X~ unknown
∞ (μ = 27 0,0 = 14✓ )
and find the probability that the length of pregnancy for a randomly selected female is more than 313
days.
0.0 X (Round the answer to 4 decimal places)
Note: If it is not possible to compute, type "DNE"
2. Explain why the Central Limit Theorem cannot be used
the sample size is small (n<30) and the distribution of the original population is unknown
Transcribed Image Text:‒‒‒‒‒‒‒ According to a study, the length of pregnancy has unknown distribution with a mean of 274 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 11. 1. Describe the probability distribution of X and state its parameters μ and o: X~ unknown ∞ (μ = 27 0,0 = 14✓ ) and find the probability that the length of pregnancy for a randomly selected female is more than 313 days. 0.0 X (Round the answer to 4 decimal places) Note: If it is not possible to compute, type "DNE" 2. Explain why the Central Limit Theorem cannot be used the sample size is small (n<30) and the distribution of the original population is unknown
Consider two independent binomial experiments. In the first one, 86 trials had 51 successes. In the second
one, 83 trials had 21 successes.
Find the point estimate for a 95% confidence interval. Use at least 4 decimal places.
Transcribed Image Text:Consider two independent binomial experiments. In the first one, 86 trials had 51 successes. In the second one, 83 trials had 21 successes. Find the point estimate for a 95% confidence interval. Use at least 4 decimal places.
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