b) For a random sample of 50 such pairs, what is the (approximate) probability that the samplemean 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 timeexceeds 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 thestandard 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 theinterval μ ± 30 should be entirely negative which is true in this case.

The variable X denotes the courtship time (in minutes) of the mating pair of specified files. For…

Answered: Let X denote the courtship time for a…

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

Similar questions

For the past few month, my husband and I have been visting preschools in Camarillo for our 3-year-old daughter. The annual cost of preschool in Camarillo is assumed to be normally distributed with a mean of $7,508, and standard deviation of $2,071. Let X be the annual tuition of a random selected preschool in Camarillo. Please show the following answers to 4 decimal places. If a Camarillo preschool is randomly chosen, find the probability that its annual tuition is beyond $5,437.
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute. (a) If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. (Round your answer to 4 decimal places) (b) If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. (Round your answer to 4 decimal places)
fast
Suppose that the walking step links of adult males are normally distributed with a mean of 2.7' and a standard deviation of 0.5'. A sample of 66 men's step lengths is taken. Find the probability that the mean of the sample taken is less than 2.2' round your answer to 4 decimal places if necessary.
SAT scores in one state is normally distributed with a mean of 1532 and a standard deviation of 200. Suppose we randomly pick 50 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1492. P(X < 1492) = b) Find the probability that the average of the scores for the sample of 50 scores is less than 1492. P(X < 1492) =
A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from a personality inventory. She would like to estimate the mean SI score, µ, for the population of all smokers. She plans to take a random sample of SI scores for smokers and estimate u via this sample. Assuming that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 95% confident that her estimate is within 12 of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
The National Health and Nutrition Examination Survey reported in the recent year, the mean cholesterol level for U.S. adults was 202 with standard deviation of 41 (unit: mg/dl) A simple random sample of 110 adults are chosen. Let x¯ be the sample mean cholesterol with a) The probability that the sample mean cholesterol level of the sample of 110 is greater than 210 is P(x¯>210) = ["", "", "", ""] b) What is the probability that the sample mean is between 190 and 200: P(190<x¯<200) = ["", "", "", ""]
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…
An electronic device is claimed to remain alive under water on average for 26 minutes (assume under-water lifetimes are approximately Normal). A random sample of 25 devices were tested and found to be alive on average for 23.6 minutes with a sample standard deviation of 4 minutes. If the computed t-value falls into the interval that contains 95% of all critical values, the claim will be satisfied. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The claim can V satisfied, because the computed t-value is and it between the critical values and (Round to three including any zeros.) be not be
SAT scores in one state is normally distributed with a mean of 1481 and a standard deviation of 88. Suppose we randomly pick 49 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1457. P(X<1457)P(X<1457) = b) Find the probability that the average of the scores for the sample of 49 scores is less than 1457. P(¯¯¯X<1457)P(X¯<1457) =
A statistician wishing to test a hypothesis that students score at most 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the 20 students on the exam is 72% and the standard deviation in the population is known to be = 15%. The statistician calculates the test statistic to be –0.8944. If the statistician chose to do a two-sided alternative, the P-value would be calculated by: a. finding the area to the right of –0.8944 and doubling it. b. finding the area to the left of –0.8944 and doubling it. c. finding the area to the right of the absolute value of –0.8944 and dividing it by two. d. finding the area to the left of –0.8944
Scores for a common standardized college aptitude test are normally distributed with a mean of 510 and a standard deviation of 105. Randomly selected men are given a Prepartion Course before taking this test. Assume, for sake of argument, that the Preparation Course has no effect on people's test scores.If 1 of the men is randomly selected, find the probability that his score is at least 580.P(X > 580) = Enter your answer as a number accurate to 4 decimal places.If 9 of the men are randomly selected, find the probability that their mean score is at least 580.P(x-bar > 580) = Enter your answer as a number accurate to 4 decimal places. A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 178 lb and a standard deviation or…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS