Consider the 24 values shown in the table. Complete parts a through d below.   10 20 29 16 33 19 15 31 11 35 12 24   8 15 20 19 12 12 8 35 9 19 25 28       Question content area bottom Part 1 a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample.   19 8 12 12     The sampling error for the sample is enter your response here. ​(Round to two decimal places as​ needed.) Part 2 b. If a random sample of n=8 items includes the values​ below, compute the sampling error for the sample mean.   12 9 19 15 11 33 12 10     The sampling error for the sample is enter your response here. ​(Round to two decimal places as​ needed.) Part 3 c. If a random sample of n=12 items includes the values​ below, compute the sampling error for the sample mean.   19 28 15 31 20 12 24 19 16 15 20 25     The sampling error for the sample is enter your response here. ​(Round to two decimal places as​ needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 7CR
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Question
Consider the
24
values shown in the table. Complete parts a through d below.
 
10
20
29
16
33
19
15
31
11
35
12
24
 
8
15
20
19
12
12
8
35
9
19
25
28
 
 
 

Question content area bottom

Part 1
a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample.
 
19
8
12
12
 
 
The sampling error for the sample is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 2
b. If a random sample of
n=8
items includes the values​ below, compute the sampling error for the sample mean.
 
12
9
19
15
11
33
12
10
 
 
The sampling error for the sample is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 3
c. If a random sample of
n=12
items includes the values​ below, compute the sampling error for the sample mean.
 
19
28
15
31
20
12
24
19
16
15
20
25
 
 
The sampling error for the sample is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 4
d. Compare the sampling error for parts​ a, b, and c and explain the reason for the differences.
 
 
A.
As the sample size​ increases, the magnitude of sampling error increases.
 
B.
As the sample size​ increases, the magnitude of sampling error decreases.
 
C.
Sample size has no effect on the sampling error.
 
D.
As the sample size​ increases, the sampling error becomes increasingly negative.
 
E.
As the sample size​ increases, the sampling error becomes increasingly positive.
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