Consider the allocation of students in a school to classes when student achievement is a function...

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Consider the allocation of students in a school to classes when student achievement is a function of abilities of fellow students. Suppose there are 40 students; 20 high ability students and 20 low ability students. There are to be 2 classes with 20 students in each class. TH is the achievement of high ability students, TL is the achievement of low ability students, NH is number high ability in a class. a. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH= 60 + 2Nμ and T₁ = 30 + 2NH. How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? Explain your reasoning. b. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH=60+ 2NH and TL = 30 + 2NH. (same as part a). How should you allocate high ability students across classrooms if the aim is to maximize total achievement of low ability students? c. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH=60+ 4NH and TL = 30 + NH. Which model of peer effects will be in line with these equations? How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? d. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH= 60 + NH-NL and TL = 30 + |NH-NL. Which model of peer effects will be in line with these equations? How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? e. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH= 60+ (NH-NL) and TL = 30 + (NL-NH). Which model of peer effects will be in line with these equations? How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? Consider the allocation of students in a school to classes when student achievement is a function of abilities of fellow students. Suppose there are 40 students; 20 high ability students and 20 low ability students. There are to be 2 classes with 20 students in each class. TH is the achievement of high ability students, TL is the achievement of low ability students, NH is number high ability in a class. a. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH= 60 + 2Nμ and T₁ = 30 + 2NH. How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? Explain your reasoning. b. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH=60+ 2NH and TL = 30 + 2NH. (same as part a). How should you allocate high ability students across classrooms if the aim is to maximize total achievement of low ability students? c. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH=60+ 4NH and TL = 30 + NH. Which model of peer effects will be in line with these equations? How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? d. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH= 60 + NH-NL and TL = 30 + |NH-NL. Which model of peer effects will be in line with these equations? How should you allocate high ability students across classrooms if the aim is to maximize total student achievement? e. Suppose achievement of high-ability and low-ability students is determined according to the following equations: TH= 60+ (NH-NL) and TL = 30 + (NL-NH). Which model of peer effects will be in line with these equations? How should you allocate high ability students across classrooms if the aim is to maximize total student achievement?

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a The aim is to maximize total student achievement so the best way to allocate high ability students across classrooms is to have 10 high ability stud... View the full answer