1. Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to ha a simple random sampling of size 64 from a population with mean of 44 and standard deviation of 16. Random samples of size 225 are drawn from a ponulation with mean 100 and standard deviation 20 Find the
1. Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to ha a simple random sampling of size 64 from a population with mean of 44 and standard deviation of 16. Random samples of size 225 are drawn from a ponulation with mean 100 and standard deviation 20 Find the
Transcribed Image Text:Example 1. Suppose the mean amount of cholesterol in
Example 2. A school has 800 senior high school students.
eggs labeled “large" is 186 milligrams, with standard
The average height of these students is 65 in. with a standard
deviation 7 milligrams. Find the mean and variance for a
deviation of 5 in. Suppose you draw a sample of 45 students.
sample size of 100.
Find the mean and standard deviation of the sampling
Given: µ = 186, a = 7, n= 100
distribution.
Solution:
Given: N = 800, µu = 65, o = 5, n= 45
Solution:
A. Solving for sample mean
i = u = 186
a. Solve for sample mean :
I=μ= 65
B. Solving for variance:
o? 7?
b. Solving for standard deviation
49
= 49
100 100
5. 800 – 45
755
=.11..97
799
N-n
N-1
45
800 –1
9
=0.1067
Transcribed Image Text:ACTIVITY: Solve for the following
1. Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to have
a simple random sampling of size 64 from a population with mean of 44 and standard deviation of 16.
2. Random samples of size 225 are drawn from a population with mean 100 and standard deviation 20. Find the
mean and variance of the sample mean.
3. Random samples of size 64 are drawn from a population with mean 32 and standard deviation 5. Find the mean
and variance of the sample mean.
4. With the same distribution of young women's height where the mean is 52.5 inches and a standard deviation of
6.25 inches, what will be your new sample mean and standard deviation for a sample size of 100?
5. If a random sample of 81 are taken from a population with a mean (µ) of 5.75 and standard deviation of 1.02,
then what will be the mean and variance of the sample mean.
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