Describing the Sampling Distribution of the Sample Means from an Infinite Population is a topic from statistics and Probability.

1. Prepared by: Roqui M. Gonzaga, Lpt
11th
GRADE
Describing the Sampling
Distribution of the Sample Means
from an Infinite Population

2. Steps in Solving;
Identify the given information
Find the mean of the sampling
distribution. Use the property
that 𝜇𝑥 = 𝜇
Find the standard deviation of
the sampling distribution. Use
the property that 𝜎𝑥 =
𝜎
𝑛

3. 1. A population has a mean of 60 and a standard deviation of 5. A random
sample of 16 measurements is drawn from this population. Describe the
sampling distribution of the sample means by computing its mean and
standard deviation.
Identify the given information 𝜇
𝜎
n
= 60
=5
=16
Find the mean of the sampling
distribution. Use the property
that 𝜇𝑥 = 𝜇
𝜇𝑥 = 𝜇
𝜇𝑥=60

4. 1. A population has a mean of 60 and a standard deviation of 5. A random
sample of 16 measurements is drawn from this population. Describe the
sampling distribution of the sample means by computing its mean and
standard deviation.
Find the standard deviation of
the sampling distribution. Use
the property that 𝜎𝑥 =
𝜎
𝑛
𝜎𝑥 =
𝜎
𝑛
𝜎𝑥 =
5
16
𝜎𝑥 =
5
4
𝜎𝑥 =1.25

5. 2. The heights of the male college students are normally distributed mean of
68 inches and standard deviation of 3 inches. If 80 samples consisting of 25
students each are drawn from the population, What would be the expected
mean an standard deviation of the resulting sampling distribution of the mean?
Identify the given information 𝜇
𝜎
n
= 68
=3
=25
Find the mean of the sampling
distribution. Use the property
that 𝜇𝑥 = 𝜇
𝜇𝑥 = 𝜇
=68

6. Find the standard deviation of
the sampling distribution. Use
the property that 𝜎𝑥 =
𝜎
𝑛
𝜎𝑥 =
𝜎
𝑛
𝜎𝑥 =
3
25
𝜎𝑥 =
3
5
𝜎𝑥 = 0.6
2. The heights of the male college students are normally distributed mean of
68 inches and standard deviation of 3 inches. If 80 samples consisting of 25
students each are drawn from the population, What would be the expected
mean an standard deviation of the resulting sampling distribution of the mean?

7. Thank You and
God bless!!!