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 beginning of interaction until mating). Suppose the mean value of X is 120 min and the standard deviation of X is 110 min. a) Is it plausible that X is normally distributed? O No, courtship time cannot plausibly be normally distributed. Since X must be negative, realistically the interval μ ±30 should be entirely negative which is not true in this case. O Yes, courtship time is plausibly normally distributed since the mean of X is larger than 100. O No, courtship time cannot plausibly be normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is not true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be negative, realistically the interval u ± 30 should be entirely negative which is true in this case.

Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from beginning of interaction until mating). Suppose the mean value of X is 120 min and the standard deviation of X is 110 min. a) Is it plausible that X is normally distributed? O No, courtship time cannot plausibly be normally distributed. Since X must be negative, realistically the interval μ ±30 should be entirely negative which is not true in this case. O Yes, courtship time is plausibly normally distributed since the mean of X is larger than 100. O No, courtship time cannot plausibly be normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is not true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be negative, realistically the interval u ± 30 should be entirely negative which is true in this case.

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
See similar textbooks
icon
Related questions
Question
b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 105 and 125 min? (round your answer to 4 decimal places) c) For a random sample of 50 such pairs, what is the (approximate) probability that the time exceeds 155 min? (round your answer to 4 decimal places)
Transcribed Image Text:b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 105 and 125 min? (round your answer to 4 decimal places) c) For a random sample of 50 such pairs, what is the (approximate) probability that the time exceeds 155 min? (round your answer to 4 decimal places)
Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from beginning of interaction until mating). Suppose the mean value of X is 120 min and the standard deviation of X is 110 min. a) Is it plausible that X is normally distributed? O No, courtship time cannot plausibly be normally distributed. Since X must be negative, realistically the interval μ ± 30 should be entirely negative which is not true in this case. O Yes, courtship time is plausibly normally distributed since the mean of X is larger than 100. O No, courtship time cannot plausibly be normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is not true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be negative, realistically the interval μ ± 30 should be entirely negative which is true in this case.
Transcribed Image Text:Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from beginning of interaction until mating). Suppose the mean value of X is 120 min and the standard deviation of X is 110 min. a) Is it plausible that X is normally distributed? O No, courtship time cannot plausibly be normally distributed. Since X must be negative, realistically the interval μ ± 30 should be entirely negative which is not true in this case. O Yes, courtship time is plausibly normally distributed since the mean of X is larger than 100. O No, courtship time cannot plausibly be normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is not true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be non-negative, realistically the interval μ ± 30 should be entirely non-negative which is true in this case. O Yes, courtship time is plausibly normally distributed. Since X must be negative, realistically the interval μ ± 30 should be entirely negative which is true in this case.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS