Question

Consider the 24 values shown in the table. Complete parts a through d below. 9 18 17 10 33 20 26 32 10 27 18 18 8 15 22 27 22 35 12 22 12 26 32 10 a. A simple random sample of 4 items is shown below. Calculate the sampling error for the sample. 12 32 27 26 The sampling error for the sample is O. (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. 35 20 22 15 17 26 12 180 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 mea 27 33 22 8 26 18 22 9 26 10 20 220 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. Sample size has no effect on the sampling error. O B. As the sample size increases, the sampling error becomes increasingly negative. OC. As the sample size increases, the magnitude of sampling error decreases. OD. As the sample size increases, the sampling error becomes increasingly positive. O E. As the sample size increases, the magnitude of sampling error increases. Click to select your answer's).

Answer 1

In this population mean (M) = Sum of observations Number of obsenatiens (M)9H18+ 10+20+-- + 12+32 24 14) 20.04. 2 247.25 a) In this n=4 12: 32 27 26. Sample mean = 12+32+27+26 4 Sampling error = x-4 324.25-20.04 =14:21 b:) 35 20 22 15 17 26 12 18 Sample mean = 35+20+:- +12+18 20. 625 sampling error = x-3: 20.625-20:04 = 0.585 -0.59 .:) 27 38 22 8 26 18 22 q 26 10 20 22 Sample mean 27 +33+22+ +20122 12 - 20:25 Sampling error = X-M 20.25-20104 =10.2! d) option © As the sample size increases, the magnitude. of Sampling error decreases