Question

(1 point) Consider the population of four juvenile condors. Their weights in pounds are : 2, 3, 6, 8

(a) Let xx be the weight of a juvenile condor. Write the possible unique values for xx: (NOTE: Separate each value in the list with a comma.)  .

(b) Find the mean of the population:

(c) Let x¯x¯ be the average weight from a sample of two juvenile condors. List all possible outcomes for x¯x¯. (If a value occurs twice, make sure to list it twice.) This is the sampling distribution for samples of size 2: (NOTE: Separate each value in the list with a comma.)  .

(d) Find the mean of the sampling distribution

Answer 1

a) here different values for xx : 2 ,3,6,8

b)

mean of the population =(2+3+6+8)/4=4.75

c)

let sample 1 is x1 and sample 2 is x2 ; hence below is  sampling distribution for samples of size 2:

sample
number	x1	x2	sample mean
1	2	2	2
2	3	2	2.5
3	6	2	4
4	8	2	5
5	2	3	2.5
6	3	3	3
7	6	3	4.5
8	8	3	5.5
9	2	6	4
10	3	6	4.5
11	6	6	6
12	8	6	7
13	2	8	5
14	3	8	5.5
15	6	8	7
16	8	8	8

d)

mean of the sampling distribution=(2+2.5+4+5+2.5+3+4.5+5.5+4+4.5+6+7+5+5.5+7+8)/16 =4.75