we will sinmlate 1000 simple randam semples of (a specifiedl) sire n-50 druo fro

Question

we will sinmlate 1000 simple randam semples of (a specifiedl) sire n-50 druo fron a enormnal population with mem -ind standrd de intim -1. Rr e d sample, we wil compute the sample men, nd then create a histogran of the 1000 sample means- wich is a graphical representation of the sampling distribution the sample neEs We want to exenine the centix and shape of the histogrm of 1) Histogm Central Limit Theorem n=50 Relative Frequency 0.15 0.1 0.05 0 0.6 0.8 1.2 14 Sample Means 2) What is the cester (means) of the exponential distribution from which the samples were generated? 3) Where does the center of the historam appear to be? 4) What is the shape of the disribution of the 1000 sample means fronm samples of sizen- 50? S) Is there reasonable agreement between the theoretical normal curte and the histogran? 0 How tave you seen the Central Linwit Theorem ilustr ated by this simulation stady?

Explanation / Answer

we will sinmlate 1000 simple randam semples of (a specifiedl) sire n-50 druo fron a enormnal population with mem -ind standrd de intim -1. Rr e d sample, we wil compute the sample men, nd then create a histogran of the 1000 sample means- wich is a graphical representation of the sampling distribution the sample neEs We want to exenine the centix and shape of the histogrm of 1) Histogm Central Limit Theorem n=50 Relative Frequency 0.15 0.1 0.05 0 0.6 0.8 1.2 14 Sample Means 2) What is the cester (means) of the exponential distribution from which the samples were generated? 3) Where does the center of the historam appear to be? 4) What is the shape of the disribution of the 1000 sample means fronm samples of sizen- 50? S) Is there reasonable agreement between the theoretical normal curte and the histogran? 0 How tave you seen the Central Linwit Theorem ilustr ated by this simulation stady?

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