Consider the 24 values shown in the table. Complete parts a through d below. 17 23 16 18 11 18 18 19 23 21 27 28 12 24 28 19 The sampling error for the sample is (Round to two decimal places as needed.) 26 7 a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample. 18 28 18 32 32 31 190 7 28 12 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. 28 19 12 28 18 27 19 26 c. If a random sample of n = 12 items includes the values below, compute the sampling error for the sample mean. 11 12 19 19 23 18 12 23 32 31 17 24 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. O A. As the sample size increases, the sampling error becomes increasingly negative. O B. Sample size has no effect on the sampling error. O C. As the sample size increases, the magnitude of sampling error decreases. O D. As the sample size increases, the sampling error becomes increasingly positive. O E. As the sample size increases, the magnitude of sampling error increases.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Consider the 24 values shown in the table. Complete parts a through d below.

Consider the 24 values shown in the table. Complete parts a through d below.
17
27
16
18 11
18 18
19
28 21
23
23
12
24
28 19
The sampling error for the sample is
(Round to two decimal places as needed.)
26
7
a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample.
18 28 18 32
32 31
19
7 28 12
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.
28 19 12 28 18 27 19 26
c. If a random sample of n = 12 items includes the values below, compute the sampling error for the sample mean.
23 32 31 17 24 11 12 19 19 23 18 12
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.
O A. As the sample size increases, the sampling error becomes increasingly negative.
O B. Sample size has no effect on the sampling error.
O C. As the sample size increases, the magnitude of sampling error decreases.
O D. As the sample size increases, the sampling error becomes increasingly positive.
O E. As the sample size increases, the magnitude of sampling error increases.
Transcribed Image Text:Consider the 24 values shown in the table. Complete parts a through d below. 17 27 16 18 11 18 18 19 28 21 23 23 12 24 28 19 The sampling error for the sample is (Round to two decimal places as needed.) 26 7 a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample. 18 28 18 32 32 31 19 7 28 12 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. 28 19 12 28 18 27 19 26 c. If a random sample of n = 12 items includes the values below, compute the sampling error for the sample mean. 23 32 31 17 24 11 12 19 19 23 18 12 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. O A. As the sample size increases, the sampling error becomes increasingly negative. O B. Sample size has no effect on the sampling error. O C. As the sample size increases, the magnitude of sampling error decreases. O D. As the sample size increases, the sampling error becomes increasingly positive. O E. As the sample size increases, the magnitude of sampling error increases.
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