Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS