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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. ANSWER B,C PLEASE
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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