1, 3, 4, 5, 9, 10 The following data represent the number of days absent per year in a population of six employees of a small company. Complete parts (a) through (d). *** The mean of all the sample means for n=3 without replacement and the population mean are (c) Compare the shape of the sampling distribution of the mean in parts (a) and (b). Which sampling distribution has less variability? Why? Choose the correct answer below. OA. The distribution for n = 3 without replacement has less variability because the sample means cluster closer to the population mean, μ. OB. The distribution for n = 2 without replacement has less variability because there are fewer possible values the sample mean could take. OC. The distribution for n = 2 without replacement has less variability because the sample means cluster closer to the population mean, μ. Subr Why? (d) Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distributions have the least variability-those in the new part (a) or the new part ( Construct the sampling distribution for n = 2 with replacement. Choose the correct graph below.
1, 3, 4, 5, 9, 10 The following data represent the number of days absent per year in a population of six employees of a small company. Complete parts (a) through (d). *** The mean of all the sample means for n=3 without replacement and the population mean are (c) Compare the shape of the sampling distribution of the mean in parts (a) and (b). Which sampling distribution has less variability? Why? Choose the correct answer below. OA. The distribution for n = 3 without replacement has less variability because the sample means cluster closer to the population mean, μ. OB. The distribution for n = 2 without replacement has less variability because there are fewer possible values the sample mean could take. OC. The distribution for n = 2 without replacement has less variability because the sample means cluster closer to the population mean, μ. Subr Why? (d) Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distributions have the least variability-those in the new part (a) or the new part ( Construct the sampling distribution for n = 2 with replacement. Choose the correct graph below.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Step 1: Write the given information.
VIEWStep 2: Determine the mean of all the sample means for n = 2 without replacement.
VIEWStep 3: Determine the mean of all the sample means for n = 3 without replacement.
VIEWStep 4: Compare the shape of the sampling distribution of the means in part (a) and part (b).
VIEWStep 5: Determine the mean of all the sample means for n = 2 with replacement.
VIEWStep 6: Determine the mean of all the sample means for n = 3 with replacement.
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