Sampling distributions Sampling distributions

Maths

1. SAMPLING DISTRIBUTION SUBJECT: BUSINESS STATISTICS PRESENTED BY: MANISH (v05) & SURESH(v09)

2. INTRODUCTION A sampling distribution is a probability distribution of a statistic that is obtained through repeated sampling of a specific population .

3. Q) At a RESTAURANT 14 guests have been invited they have to be divided into 2 groups of 7 each and seated at 2 tables. In how many different ways these guest can be seated.

4. FORMULA ? n/r=n!/(n-r)!r! Where, n- number of elements in the population r- proposed sample size.

5. Q) At a RESTAURANT 14 guests have been invited they have to be divided into 2 groups of 7 each and seated at 2 tables. In how many different ways these guest can be seated. Solution: Step 1: To identify the no. Of elements in the population (n), and the proposed sample size (r). i.e. n-14 r-7 Step 2: Apply the formula by inputting all the given data: n/r = n!/(n-r)!r! =14 ------------------------ (14-7)!7!

6. Solution: Q ) At a dinner party 12 guests have been invited they have to be divided into 2 groups of 7 each and seated at 2 tables. In how many different ways these guest can be seated. Step 2: Apply the formula by inputting all the given data: n/r = n!/(n-r)!r! =14/(14-7)!7! =14*13*12*11*10*9*8*7*6*5*4*3*2*1/7!*7! =14*13*12*11*10*9*8*7*6*5*4*3*2*1/7*6*5*4*3*2*1*7*6*5*4*3*2*1 =14*13*12*11*10*9*8/7* 6*5*4*3*2*1 =3432 Ans: The guest can be seated in 3432 different ways .

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