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Consider the following population: (5, 6, 7, 8). For this population the mean is Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 13 possible samples (provided that the order in which observations are selected is taken into account). (a) Calculate the sample mean for each of the 12 possible samples. Sample Sample Mean 7,0 (b) Use the sample means to construct the sampling distribution of Display the sampling distribution as a density histogram. O 200 0.4 02 0.0 6.5 Sample Mean 7 7.5 Derelly 0.8 as 0.4 0.2 0.0 5.5 Sample Mean 7 7.5 G Density 0.0 0.4 02 0.0 5.5 6.5 Sample Mean 7 7.5 00 Denilly 0.3 0.0 0.4 02 0.0 5.5 6.5 Sample Mean 7 7.5

Consider the following population: (5, 6, 7, 8). For this population the mean is Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 13 possible samples (provided that the order in which observations are selected is taken into account). (a) Calculate the sample mean for each of the 12 possible samples. Sample Sample Mean 7,0 (b) Use the sample means to construct the sampling distribution of Display the sampling distribution as a density histogram. O 200 0.4 02 0.0 6.5 Sample Mean 7 7.5 Derelly 0.8 as 0.4 0.2 0.0 5.5 Sample Mean 7 7.5 G Density 0.0 0.4 02 0.0 5.5 6.5 Sample Mean 7 7.5 00 Denilly 0.3 0.0 0.4 02 0.0 5.5 6.5 Sample Mean 7 7.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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2. ANSWER B,C PLEASE

Consider the following population: (5, 6, 7, 8). For this population the mean is Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 13 possible samples (provided that the order in which observations are selected is taken into account). (a) Calculate the sample mean for each of the 12 possible samples. Sample Sample Mean 7,0 (b) Use the sample means to construct the sampling distribution of Display the sampling distribution as a density histogram. O 200 0.4 02 0.0 Density 0.0 0.4 0.2 5.5 6 6.5 0.0 Sample Mean 7.5 0 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean Derelly 0.8 as 0.4 0.2 0.0 as 0.4 02 5.5 6 00 6.5 Sample Mean 7 7.5 0 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean Density 0.0 Anad 0.4 02 0.0 (c) Suppose that a random sample of size 2 is to be selected, but this time sampling will be done with replacement. Using a method similar to that of part (a), construct the sampling distribution of pant: There are 16 different possible samples in this case.) 08 08 ost ost as 0.4 02 00 3.3 (d) In what ways are the two sampling distributions of parts (b) and (c) similar? In what ways and they different? (Select all that apply) They are both symmetrical They both cover the same range Their means are equal. One distribution is not symmetrical. One distribution covers a larger range Their means are different Sample Mean 7 7.5 Denalty 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean 0.3 0.0 0.4 02 0.0 as 0.4 02 3.3 00 6.5 Sample Mean 7.5 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean
Transcribed Image Text:Consider the following population: (5, 6, 7, 8). For this population the mean is Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 13 possible samples (provided that the order in which observations are selected is taken into account). (a) Calculate the sample mean for each of the 12 possible samples. Sample Sample Mean 7,0 (b) Use the sample means to construct the sampling distribution of Display the sampling distribution as a density histogram. O 200 0.4 02 0.0 Density 0.0 0.4 0.2 5.5 6 6.5 0.0 Sample Mean 7.5 0 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean Derelly 0.8 as 0.4 0.2 0.0 as 0.4 02 5.5 6 00 6.5 Sample Mean 7 7.5 0 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean Density 0.0 Anad 0.4 02 0.0 (c) Suppose that a random sample of size 2 is to be selected, but this time sampling will be done with replacement. Using a method similar to that of part (a), construct the sampling distribution of pant: There are 16 different possible samples in this case.) 08 08 ost ost as 0.4 02 00 3.3 (d) In what ways are the two sampling distributions of parts (b) and (c) similar? In what ways and they different? (Select all that apply) They are both symmetrical They both cover the same range Their means are equal. One distribution is not symmetrical. One distribution covers a larger range Their means are different Sample Mean 7 7.5 Denalty 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean 0.3 0.0 0.4 02 0.0 as 0.4 02 3.3 00 6.5 Sample Mean 7.5 5 5.5 6 6.5 7 7.5 8 8.5 Sample Mean
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