A population consists of the four numbers 3, 4, 5, 9 with mean = 5.25 and variance = 5.1875 possible samples of size two which can be drawn with replacement from the population. Bel distribution of the sample mean.
A population consists of the four numbers 3, 4, 5, 9 with mean = 5.25 and variance = 5.1875 possible samples of size two which can be drawn with replacement from the population. Bel distribution of the sample mean.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:For numbers 13-14, consider the following:
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
3,5
4
5,5
3,9
5,9
4, 3
9,3
4,4
9,4
4,5
9,5
4,9
9,9
6
3.5
4
4.5
6.5
4.5
5
7
6
6.5
7
9
![4,4
4
4.5
6.5
9.4
9,5
9,9
6.5
7
3.5
4
4.5
5
6
2/16 3/16 2/16 1/16 2/16
4,5
4,9
Sample
3
7
mean
Probability 1/16
2/16
1/16
Find the mean of the sample mean. [Select]
[Select]
Find the standard error of the sample mean.
The heights of students in a certain school are normally distributed with a mean of 173.4 centimeters and a
standard deviation of 6.8 centimeters. What is the probability that the mean height of random sample of 26
student will be below 171 centimeters? [Select]
9
6.5
2/16
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6800b49-2dda-4e60-bbea-a5504a304c74%2F47d8ad9a-4653-4f5a-9ec5-77a1f8a86e7d%2F4imhb0j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4,4
4
4.5
6.5
9.4
9,5
9,9
6.5
7
3.5
4
4.5
5
6
2/16 3/16 2/16 1/16 2/16
4,5
4,9
Sample
3
7
mean
Probability 1/16
2/16
1/16
Find the mean of the sample mean. [Select]
[Select]
Find the standard error of the sample mean.
The heights of students in a certain school are normally distributed with a mean of 173.4 centimeters and a
standard deviation of 6.8 centimeters. What is the probability that the mean height of random sample of 26
student will be below 171 centimeters? [Select]
9
6.5
2/16
9
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