Consider the 24 values shown in the table. Complete parts a through d below. 14 20 25 11 8 30 25 9 31 21 34 11 32 17 20 34 7 32 7 24 8 16 24 27 a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample. 27 34 24 25吋 The sampling error for the sample is (Round to two decimal places as needed.) b. If a random sample of n = 8 items includes the values below, compute the sampling error for the sample mean. 34 32巳 17 20 30 24 16 25 The sampling error for the sample is (Round to two decimal places as needed.) c. If a random sample of n = 12 items includes the values below, compute the sampling error for the sample mean. 9 20 27 31 34 21 11 25 25 30 8吋 14 The sampling error for the sample is ☐ . (Round to two decimal places as needed.) d. Compare the sampling error for parts a, b, and c and explain the reason for the differences. OA. As the sample size increases, the magnitude of sampling error increases. OB. As the sample size increases, the sampling error becomes increasingly negative. OC. Sample size has no effect on the sampling error. OD. As the sample size increases, the magnitude of sampling error decreases. O E. As the sample size increases, the sampling error becomes increasingly positive.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3CP
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Related questions
Question
Consider the 24 values shown in the table. Complete parts a through d below.
14
20
25
11
8
30
25
9
31
21
34
11
32
17
20
34
7
32
7
24
8
16
24
27
a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample.
27
34
24
25吋
The sampling error for the sample is
(Round to two decimal places as needed.)
b. If a random sample of n = 8 items includes the values below, compute the sampling error for the sample mean.
34 32巳
17
20
30
24
16
25
The sampling error for the sample is
(Round to two decimal places as needed.)
c. If a random sample of n = 12 items includes the values below, compute the sampling error for the sample mean.
9 20 27 31 34
21
11
25
25
30
8吋
14
The sampling error for the sample is ☐ .
(Round to two decimal places as needed.)
d. Compare the sampling error for parts a, b, and c and explain the reason for the differences.
OA. As the sample size increases, the magnitude of sampling error increases.
OB. As the sample size increases, the sampling error becomes increasingly negative.
OC. Sample size has no effect on the sampling error.
OD. As the sample size increases, the magnitude of sampling error decreases.
O E. As the sample size increases, the sampling error becomes increasingly positive.
Transcribed Image Text:Consider the 24 values shown in the table. Complete parts a through d below. 14 20 25 11 8 30 25 9 31 21 34 11 32 17 20 34 7 32 7 24 8 16 24 27 a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample. 27 34 24 25吋 The sampling error for the sample is (Round to two decimal places as needed.) b. If a random sample of n = 8 items includes the values below, compute the sampling error for the sample mean. 34 32巳 17 20 30 24 16 25 The sampling error for the sample is (Round to two decimal places as needed.) c. If a random sample of n = 12 items includes the values below, compute the sampling error for the sample mean. 9 20 27 31 34 21 11 25 25 30 8吋 14 The sampling error for the sample is ☐ . (Round to two decimal places as needed.) d. Compare the sampling error for parts a, b, and c and explain the reason for the differences. OA. As the sample size increases, the magnitude of sampling error increases. OB. As the sample size increases, the sampling error becomes increasingly negative. OC. Sample size has no effect on the sampling error. OD. As the sample size increases, the magnitude of sampling error decreases. O E. As the sample size increases, the sampling error becomes increasingly positive.
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