A population consists of the four numbers 3, 4, 5, 9 with mean = 5.25 and variance = 5.1875. Consider all the possible samples of size two which can be drawn with replacement from the population. Below is the sampling distribution of the sample mean. Sample Sample mean Sample Sample mean 3,3 3 5,3 4 3,4 3.5 5,4 4.5

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A population consists of the four numbers 3, 4, 5, 9 with mean = 5.25 and variance = 5.1875.
Consider all the possible samples of size two which can be drawn with replacement from the
population. Below is the sampling distribution of the sample mean.
Sample
Sample mean
Sample
Sample mean
3, 3
3
5,3
4
3,4
3.5
5,4
4.5
3,5
4
5, 5
5
3,9
5,9
7
4, 3
9,3
6
4,4
9,4
6.5
4,5
7
9,5
4,9
9
9,9
6
3.5
4
4.5
6.5
Transcribed Image Text:A population consists of the four numbers 3, 4, 5, 9 with mean = 5.25 and variance = 5.1875. Consider all the possible samples of size two which can be drawn with replacement from the population. Below is the sampling distribution of the sample mean. Sample Sample mean Sample Sample mean 3, 3 3 5,3 4 3,4 3.5 5,4 4.5 3,5 4 5, 5 5 3,9 5,9 7 4, 3 9,3 6 4,4 9,4 6.5 4,5 7 9,5 4,9 9 9,9 6 3.5 4 4.5 6.5
Sample
mean
3
3.5
4
4.5
5
6
6.5 7
Probability 1/16
2/16 3/16 2/16 1/16
2/16
2/16
Find the mean of the sample mear ✓ [Select]
5.25
5.1875
2.5938
1.6105
toom is normally distributed with a mean of 173.4
9
2/16 1/16
>
Transcribed Image Text:Sample mean 3 3.5 4 4.5 5 6 6.5 7 Probability 1/16 2/16 3/16 2/16 1/16 2/16 2/16 Find the mean of the sample mear ✓ [Select] 5.25 5.1875 2.5938 1.6105 toom is normally distributed with a mean of 173.4 9 2/16 1/16 >
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