Question

The assets in billions of dollars) of the four wealthiest people in a particular country are 35, 26, 16, 12. Assume that samples of size n=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability 30.5 26 25.5 23.5 (Type integers or fractions.)

Answer 1

Solution :- Given The assets of the four wealthiest people in a particular country are . 35, 26, 16, 12 The Samble size ne2 are randomble selected .. with Replacement. Total no of cases = 4² = 16 and the cases are (35,35) ( 35, 26) (35, 16) (35,12) (26,35) (26,26) (26,16) (26,12) (16,35) (16,26) (16,16) (16,12) (12,35) (12,26) (12,16) (2,12) } Now mean of each sample : o mean of (35,35) 6 mean of (26, 26) 5 = 26726 - 26 X = 35735 - 35 e mean of (35; 26) I mean of (26,16) FE26716 = 21 X = 35725 = 30.5 mean of (35,16) ③ mean of (26,12) X = 26+12 = 19 75 35+16 = 25.5 © mean of (16,35) Mean of (35,12) mean Mean 3.5 + I mean n 9 * = 16+35 = 25.5 X 35+12 - 23.5 nean mean of (16,26) X = 16+26 = 21 W 2 © Mean of (36,35) 7- 26735 = 30.5 2

wa W mean of (12, 26) - 마끌= 19 12+ 2 . | ① mean (16116) | 1616 16 ® Pleat + 16, 12) | - 1612 = 1 B 100 mean | TE of (12,16) HIE = 1 2. 2 ⓒ Pean (12,35) = 12+35, 235 @ man g (12112) 쁠 =12 2- Now probability probability 아 35 중 19 즙ㅎ 30.5 급이 ㅎ 26 | 눈 | ·255 급이R호 끊Rㅎ 중에 ㅎ 2305