Consider a variable x which is physically meaningful in the range [-1; 1],for which there are two classes of events. A set of simulated measurementsof class A is: (-0.9, -0.8, -0.7, -0.6, -0.4, -0.2, -0.1, 0.0, 0.3) while a set ofsimulated measurements of class B is: (-0.7, -0.5, -0.3, 0.0, 0.1, 0.2, 0.3,0.5, 0.6, 0.7, 0.8).What are the optimal cuts on x if A is the signal and B is the background?(a) Using the Gini index(b) Using a simple significance(c) Using a more sophisticated significance

x1 x2 -0.9 -0.7 -0.8 -0.5 -0.7 -0.3 -0.6 0 -0.4 0.1 -0.2 0.2 -0.1 0.3 0 0.5 0.3…

Answered: Consider a variable x which is…

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 special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
A researcher is investigating the effects of three different fertilizers (A, B, and C) on the growth of tomato plants. The height of the plants (in inches) is measured after one month using a sample of four plants for each fertilizer: Fertilizer A: [12, 14, 15, 13] Fertilizer B: [16, 17, 15, 18] Fertilizer C: [10, 11, 12, 9] Perform a one-way ANOVA to determine if there is a significant difference in the mean height of the tomato plants among the three fertilizers at a 5% significance level. Show all steps
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If the mean of the following probability distribution is 3.44, what is the variance?
Suppose we are interested in the risk of peripheral neuropathy among persons with diabetes. To study this relationship, we identify 100 persons with a history of diabetes. At an initial examination, three of those 100 persons were found to have peripheral neuropathy. Five years later, the group was reexamined and 12 additional persons were found to have peripheral neuropathy. Based on that information, which of the following is closest to the five- year risk of peripheral neuropathy in this group of patients? А. О.03 В. О.07 С. О.12 D. 0.15 E. 0.17
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A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers Admitted strangers into their home Didnot admit strangers into their home Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable Is this a directional or non directional
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A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 8.5, 5.6, 8.8. 6.1. 6.1. 3.3. 8.9, 6.0, 3.3, 9.7, 6.0, 9.3, 2.3, 4.6. 5.5.6.7. 6.6. 4.9. 10.0.6.6 multivitamin 6.5, 5.0, 3.2, 4.7, 3.5, 2.7, 3.8, 4.4, 4.6, 3.6, 4.0, 2.7, 3.2, 4.8, 6.3, 7.5, 6.9, 4.7, 4.8, 1.3 Treated with vitamin C Send data to calculator Send data to Excel Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard…
Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.

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