Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from the beginning of interaction until mating). Suppose the mean value of X is 110 and the standard deviation of X is 100. LAUSE SALT (a) For a random sample of 85 such pairs, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? E(X)= 07 GPa GPa (Round your answer to two decimal places.) (b) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time is between 90 min and 115 min? (Round your answer to 3 decimal places.) (c) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time exceeds 164 min? (Round your answer to 3 decimal places.) (d) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time below 131 min? (Round your answer to 3 decimal places.) (e) Could the probability requested in (b) be calculated from the given information if the sample size were 15 rather than 85? Explain. O No. According to the guidelines n should be greater than 30 in order to apply the central limit theorem. O Yes. According to the guidelines n should be at least 15 in order to apply the central limit theorem. O Yes. According to the guidelines n should be less than 30 in order to apply the central limit theorem.
Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from the beginning of interaction until mating). Suppose the mean value of X is 110 and the standard deviation of X is 100. LAUSE SALT (a) For a random sample of 85 such pairs, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? E(X)= 07 GPa GPa (Round your answer to two decimal places.) (b) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time is between 90 min and 115 min? (Round your answer to 3 decimal places.) (c) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time exceeds 164 min? (Round your answer to 3 decimal places.) (d) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time below 131 min? (Round your answer to 3 decimal places.) (e) Could the probability requested in (b) be calculated from the given information if the sample size were 15 rather than 85? Explain. O No. According to the guidelines n should be greater than 30 in order to apply the central limit theorem. O Yes. According to the guidelines n should be at least 15 in order to apply the central limit theorem. O Yes. According to the guidelines n should be less than 30 in order to apply the central limit theorem.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from the beginning of interaction until mating). Suppose the mean
value of X is 110 and the standard deviation of X is 100.
LAUSE SALT
(a) For a random sample of 85 such pairs, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution?
E(X)=
07
GPa
GPa (Round your answer to two decimal places.)
(b) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time is between 90 min and 115 min? (Round your
answer to 3 decimal places.)
(c) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time exceeds 164 min? (Round your answer to 3 decimal
places.)
(d) For a random sample of 85 such pairs, what is the (approximate) probability that the sample mean courtship time below 131 min? (Round your answer to 3 decimal
places.)
(e) Could the probability requested in (b) be calculated from the given information if the sample size were 15 rather than 85? Explain.
O No. According to the guidelines n should be greater than 30 in order to apply the central limit theorem.
O Yes. According to the guidelines n should be at least 15 in order to apply the central limit theorem.
O Yes. According to the guidelines n should be less than 30 in order to apply the central limit theorem.
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