Problem 4. Suppose that a person's score X on a mathematics aptitude test is a number between0 and 1, and that their score Y on a music aptitude test is also a number between 0 and 1. Supposefurther that in a certain population, the scores X and Y are distributed according to the joint PDF(2x + 3y) for 0≤x, y ≤1f(x, y) =otherwise(A) What proportion of college students obtain a score greater than 0.8 on the math test?(B) If the student's score on the music test is 0.3, what is the probability that their score on themath test will be greater than 0.8?(C) If a student's score on the math test is 0.3, what is the probability that their music test willbe greater than 0.8?

A person's score on mathematics aptitude test is a number between 0 and 1.A person's score on…

Answered: Problem 4. Suppose that a person's…

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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5. Calculate the net reproduction rate from the following data : Age group of No. of female child-bearing females No. of survivors out of each 1,000 female children Age group of No. of female child-bearing children born females No. of survivors out of each 1,000 female children children born to 1,000 to 1,000 women women oub passing through each age group passing through each age group da15-20 50 850 35-40 300 650 20-25 180 800 40-45 100 600 25-30 450 750 45-50 40 500 30-35 500 700
1. There is a theory that people who drink caffeine can run longer than those who do not. To test this theory a random sample of seven people who drink caffeine and a random sample of seven people who do not drink caffeine was obtained and their length of time they could run non-stop was measured, in seconds. Non-Caffeine drinkers 359 280 138 227 203 184 231 Caffeine drinkers 394 477 439 428 391 488 454 a. At the 5% significance level, can you conclude that those who drink caffeine can run longer than those who do not? b. Are the samples independent or dependent? c. If independent, would using dependent samples have been better? Why or Why not? If depen- dent, explain why dependent samples were used.
1. Researchers want to know if there is a relationship between the amount of time spent online and the amount of jealousy experienced when in a romantic relationship. Use alpha =.05. Hours online/week Jealousy Score (X) (Y) X = 10 Y = 7 SS, = 450 SS, = 268 1 5 3 3 SPy = 254 3 4 S = 5.67 Sy = 4.38 4 4 6. 5 9. 3 12 5 14 13 7 16 16 10 17 12 18 20 A. Graph the data. B. State the hypotheses. C. Make a decision about the null. a. Calculate Pearson's r i. Decision about null hypothesis? b. Calculate effect size i. Interpret effect size. D. State your conclusion. E. Relate your conclusion to the research. F. Calculate the regression formula. a. Plot the regression line. b. If someone spent 14 hours online, what is the predicted jealousy score? O 00 o
6. In a field experiment, the earth worm densities observed in different sites with varying soil moisture regimes are given below. Is there any relationship between the soil moisture and earth worm densities: Moisture % 6 25 12 8 16 20 30 22 27 31 Earth worm density (No./m2) 0 5 3 14 10 12 14 6
Table 1 gives data on GDP (Y - in billions), foreign direct investment (X₂ - in billions), and corruption index (X3) 31. Y 45 50 54 58 63 69 74 78 X₂ 75 78 83 86 90 93 98 100 X3 15 12 9 6 3 -2 -5 -8 What is the value of Σx and Σx3, given that x₁ = X; - X? A. 579 and 475 B. 959 and 737 C. 675.2500 and -518.2500 D. - 567.1456and 255.3750
4. A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of four participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (X) Time it Took to sleep (Y) 5. 10 10 18 20 30 40 25 M = 18.75 M = 20.75 S= 15.48 S = 8.69 r= .68 Create a scatter plot of the data b. Calculater and r2 c. Report results in APA style. d. What do results mean? a.
llustration 19.18.. A sample study of the population of two districts gives that in district A the percentage of male population is 52% while this is the figure for the female percentage in the B district. If the size of the sample selected was in district A and B as 400 and 625 respectively, can both of these samples be taken to come from a population where the percentage of males and females is equal?
The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. y 7.5 404 16.6 702 10.9 507 6.5 385 10 464 12.1 495 8.6 400 10.2 503 7.5 310 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242
22 of 47 > Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. The table gives the resulting bacterial counts for each condition: 24 hours at 35 degrees Celsius 24 hours at 43 degrees Celsius 66 98 71 67 93 42 102 31 62 77 Suppose we had plotted bacterial count at 35 degrees Celsius on the y axis instead of the x axis. How would this change affect the value of the correlation coefficient? The correlation would be the inverse of, or I over, the original value. The correlation coefficient would have the opposite sign. The correlation coefficient would be exactly the same. The correlation coefficient would have an entirely different magnitude.
3. If there is a linear, strong, and positive relationship between the scores on two tests, we should conclude that A. Scoring high on one test causes an individual to score high on the other test. B. high scores on one test are associated with low scores on the other test. C. as one test score goes down, the other test score goes up. D. low scores on one test are associated with low scores on the other test. E. the value of r must be close to 0.
A sample of 20 students who had recently taken elementary statistics yielded the following information on brand of calculator owned. (T = Texas Instruments, H = Hewlett Packard, C = Casio, S = Sharp): нCSCTннSсс cs CTH TTSH H (a) Estimate the true proportion of all such students who own a Texas Instruments calculator. (b) Of the 4 students who owned a TI calculator, 2 had graphing calculators. Estimate the proportion of students who do not own a TI graphing calculator.
4. Areal estate company wants to study the relationship between Home price in OMR 1000) and the following variables: Floor size (in 100 square feet (X 1 ) , Type of Heating (X 2 =1 if electricity and X 2 =0,if Gas) , Location of home (X 3 =1 if in town and X 3 =0 , if in village). Use this to answer the following questions: Then the degrees of freedom of Fstatistic for finding critical value is A . r 1 =3,r 2 =10 B. None C. r 1 =11,r 2 =3 D. r 1 =3,r 2 =11 E. r 1 =10; r 2 =3

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