Question

Complete parts (a) through (e) for the population data below. 1, 4, 7, 10 a. Find the mean, l, of the variable. u= (Type an integer or a decimal. Do not round.) b. For each of the possible sample sizes, construct a table with all possible samples and their sample means, and draw a dotplot for the sampling distribution of the sample mean. Find the sample mean x for each possible sample of size n= 1. Sample X 1 4 7 10 (Type integers or decimals rounded to two decimal places as needed.) Draw the dotplot for the sampling distribution of the sample mean for n=1. Choose the correct plot below. OA. OB 8 9 10 11 o 11 O c. OD. 4 5 6 7 8 9 10 11 6 7 8 9 10 11

Answer 1

a) µ= population mean=(1+4+7+10)/4=5.5          

b)

sample	Xbar
1	1
4	4
7	7
10	10

c. 0 1 2 3 4 5 6 7 8 9 10 11

=============

sample	Xbar		Xbar
(1,4)	2.5	(4,7)	5.5
(1,7)	4	(4,10)	7
(1,10)	5.5	(7,10)	8.5

D. 0 1 2 3 4 5 6 7 8 9 10 11

============

sample	Xbar
(1,4,7)	4
(1,4,10)	5
(1,7,10)	6
(4,7,10)	7

C. 0 1 2 3 4 5 6 7 8 9 10 11

==========

sample	Xbar
(1,4,7,10)	5.5

OC. a a ארז 0 1 2 3 4 5 6 7 8 9 10 11

c)

OA. и na 1. n=2 n3 n=4 x 0 1 2 3 4 5 6 7 8 9 10 11

OC. As the sample size increases, the sampling distribution of the sample mean clusters closer to the population mean.

d)

n	Probability
1	0
2	2/6 = 1/3
3	0
4	1

e)

n	Probability
1	0
2	2/6 = 1/3
3	2/4=1/2
4	1