For numbers 13-14, consider the following: A population consists of the four numbers 3, 4, 6, 8 with mean-5.25 and variance-3.6875 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 6.3 4.5 3,4 3.5 6.4 S 3,6 4.5 6.6 6 3,8 5.5 6.8 7 4.3 3.5 8,3 5.5 4,4 4 8.4 6 4,6 5 8,6 7 4,8 6 8.8 3 3.5 4 4.5 5 Sample mean 5.5 6 7 8 Probability 1/16 2/16 1/16 2/16 2/16 2/16 3/16 2/16 1/16 Find the mean of the sample mean. 5.25 Find the standard error of the sample mean, [Select] 8
For numbers 13-14, consider the following: A population consists of the four numbers 3, 4, 6, 8 with mean-5.25 and variance-3.6875 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 6.3 4.5 3,4 3.5 6.4 S 3,6 4.5 6.6 6 3,8 5.5 6.8 7 4.3 3.5 8,3 5.5 4,4 4 8.4 6 4,6 5 8,6 7 4,8 6 8.8 3 3.5 4 4.5 5 Sample mean 5.5 6 7 8 Probability 1/16 2/16 1/16 2/16 2/16 2/16 3/16 2/16 1/16 Find the mean of the sample mean. 5.25 Find the standard error of the sample mean, [Select] 8
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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Question
![For numbers 13-14, consider the following:
A population consists of the four numbers 3, 4, 6, 8 with mean - 5.25 and variance =3.6875 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
6.3
4.5
3,4
3.5
6,4
S
3,6
4.5
6.6
6
3,8
5.5
6.8
7
4.3
3.5
8,3
5.5
4,4
4
8.4
6
4,6
5
8.6
7
4,8
6
8,8
8
3
Sample
mean
3.5 4 4.5 5
5.5 6
7
8
Probability 1/16
2/16 1/16 2/16 2/16 2/16 3/16 2/16 1/16
5.25
V
Find the mean of the sample mean.
V
Find the standard error of the sample mean. [Select]
The heights of students in a certain school are normally distributed with a mean of 163.4 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 161 centimeters [Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F996e5638-24ec-4928-ad2b-3332b742046a%2Fe9d4b53c-0ed5-4877-b013-3b0424a84005%2Fy5rlkcl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For numbers 13-14, consider the following:
A population consists of the four numbers 3, 4, 6, 8 with mean - 5.25 and variance =3.6875 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
6.3
4.5
3,4
3.5
6,4
S
3,6
4.5
6.6
6
3,8
5.5
6.8
7
4.3
3.5
8,3
5.5
4,4
4
8.4
6
4,6
5
8.6
7
4,8
6
8,8
8
3
Sample
mean
3.5 4 4.5 5
5.5 6
7
8
Probability 1/16
2/16 1/16 2/16 2/16 2/16 3/16 2/16 1/16
5.25
V
Find the mean of the sample mean.
V
Find the standard error of the sample mean. [Select]
The heights of students in a certain school are normally distributed with a mean of 163.4 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 161 centimeters [Select]
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