following information is for both question 5 and question 6:n experiment, a student tosses a coin three times independently. The tossing time with the coin realizing head aredenoted by H while those results in tail are denoted by T. The letters are written in the order of the tossingtime. For example, the denotation THT means in the first time of tossing the coin results in tail, in the secondtime of tossing the coin results in head, and in the third time the coin is tail.Write the following sets for this experiment?Sample space:S={Event at least 2 times the coin is head: A={Event at most 1 time the coin is head:B={Event all the time the coin results in headC={

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Answered: following information is for both…

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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A psychologist wants to know whether viewing more violent TV shows affects aggressive behavior. 12 children were chosen at random for an experiment and randomly allocated to one of two conditions. In condition 1, six kids were given an aggressive behavior test. The more aggressive the conduct, the higher the score. In condition 2, six children were given the identical test after watching two hours of tv shows. The following results were obtained. Condition 1 5 14 6 8 7 6 Condition 2 12 14 14 8 15 9 Assume the obtained value of the appropriate statistic is t obt = -2.431, using α = 0.05, 2 tail, and t crit = +2.228 and -2.228, what do you conclude? a. retain null hypothesis, suggesting that violent TV show does not affect aggression. b. reject null hypothesis, suggesting that violent TV show affects aggression.
1. An experiment consists of flipping a coin until either heads is flipped 6 times, or the same side shows up 3 times in a row. The random variable X assigns the number of total coins flips to each outcome. What number is assigned to HTTT? 2. A person picks a number between 1 and 28536. The random variable Z assigns the number picked to each outcome. What number is assigned to 267927? 3. A person picks a number between 1 and 285336. The random variable Z assigns the 0 to an even number 1 to an odd number. What number is assigned to 267927?
A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. a. 1 ticket labeled $10 and 4 tickets labeled -$10 b. 20 tickets labeled $10 and 80 tickets labeled -$10 c. 20 tickets labeled 1 and 80 tickets labeled 0 d. 1 ticket labeled $40 and 4 tickets labeled -$10 e. 20 tickets labeled $40 and 80 tickets labeled -$10 f. 1 ticket labeled 1 and 4 tickets labeled 0
OSM HTAM MATH 1420 11. A roulette wheel has 38 slots around the rim. The first 36 slots are numbered from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equally likely chance of falling into any one of the 38 slots. Find each of the following: a. The probability that the ball lands in a black slot. b. The probability that the ball lands on 0 or 00. C. The probability that the ball does not land on a number from 1 through 12 d. The probability that the ball lands on an odd number or on a green slot
Question 3 To compare three brands of computer keyboards, 4 data entry specialists were randomly selected. Each specialist used all three keyboards to enter the same kind of text material for 10 minutes, and the number of words entered per minute was recorded. SST, SSB, and SSE can be calculated to be 392.6667, 143.5833, and 2.6667, respectively. When you make a pairwise comparison between Brand A and Brand B, what is 95% Tukey Confidence interval? (Consider tables below) Keyboard Brand Specialist A B C 1 177 67 63 2 71 62 59 3 74 63 59 67 57 54 Summary Count Sum Average Variance 3 207 69 52 3 192 64 39 3 196 65,33333 60,33333| 3 178 59,33333 46,33333 14 289 72,25 18,25 249 62,25 16,91667 235 58,75 13,58333 df MS F P-value F critical SS 143,5833 3 47,86111 107,6875 1,32E-05 4,757063 392,66672 196,3333 441,75 3,07E-07 5,143253 2,6666676 0,444444 538,9167 11 4 1 2 3 14 A B C ANOVA Source of Variation Specialist Brand Error Total 4 4
Anthony has just received Covid-19 test results from a patient named Melania. The accuracy of the test is as follows: the probability the test will be positive if Melania has Covid-19 is p, and the probability the test will be positive if Melania does not have Covid-19 is q. The proportion of the population that has Covid-19 is 7. The test comes back positive. Anthony has no information about Melania's symptoms. (For reasons he does not understand.) Problem 3c What value of y would result in the simple model of base-rate neglect we learned in class? 67 O 33 O 25 Question 24 Problem 3d If p = .95, q = .05, and r = .1, what must be the value of y if Anthony believes that the probability Melania has Covid-19 is .9? O 3.214 O 5 O 1.05 O 3.57
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
Among mammals, bears probably have the best sense of smell. You want to investigate this. You take food and place it in an airtight plastic container and randomly place it behind one of three panels. You repeat this 50 times. If the bear can correctly smell the food and press the panel with the food, he/she gets the food as a reward. You get the following results: Observed results Number of times the bear correctly presses the panel with food behind it: 43 Number of times the bear incorrectly presses one of the two panels without food behind it: 7 Can the bear smell the food? Give both the test statistic and the table value.
A college biology teacher wants to know whether being tutored at the study lab will help her students score higher on their final exam. She randomly selects 60 students from among the four sections of Introductory Biology that she teaches. Then she randomly divides them into two groups of 30 students each. Group A will be tutored at the study lab, and group B will not be tutored at the study lab. After all 60 students take their final exam, she will compare their results. Which of these are the treatments in this experiment?
Anthony has just received Covid-19 test results from a patient named Melania. The accuracy of the test is as follows: the probability the test will be positive if Melania has Covid-19 is p, and the probability the test will be positive if Melania does not have Covid-19 is q. The proportion of the population that has Covid-19 is 7. The test comes back positive. Anthony has no information about Melania's symptoms. (For reasons he does not understand.) wiet value of ya would result in the simple model of base-rate neglect we learned in class? 67 O 33 25 Problem If p = .95, q = .05, and a = .1, what must be the value of y if Anthony believes that the probability Melania has Covid-19 is .9? 3.214 O 1.05 O 3.57
A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. The coach split the 26 boys into two equal sized groups, where Group 1 was given the energy drink and Group 2 was not. The 100 meter race times were recorded during practice and shown in the table below. What inference can be made about the results? Group 1 Group 2 12.2 13 12.5 12.3 13.3 12.8 12.9 13 13 13.8 12.1 13 13 13 13 13 12.1 13 13 13 12.1 13 12.8 13 13 12.6 Mean: 12.7 Mean: 13 Since the simulation shows ( many cases or free cases )? where a mean difference of ( solve for this answer ) or less occurred when the groups were re-randomized, it can be inferred that the mean difference observed in the study was ( very possibly or very unlikely ) ?due to the random assignment of participants into groups, so the results of the study are (…
A psychologist wants to know whether viewing more violent TV shows affects aggressive behavior. 12 children were chosen at random for an experiment and randomly allocated to one of two conditions. In condition 1, six kids were given an aggressive behavior test. The more aggressive the conduct, the higher the score. In condition 2, six children were given the identical test after watching two hours of tv shows. The following results were obtained. Condition 1 5 14 6 8 7 6 Condition 2 12 14 14 8 15 9 Q1, The alternative (H1) hypothesis and null (H0) hypothesis are (2-tail) _________. a. H1: violent TV show does not affects aggressive behavior H0: violent TV show affects aggressive behavior b. H1: violent TV show affects aggressive behavior H0: violent TV show does not affect aggressive behavior

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