II - Answer each of the following questions. Use extra sheets if necessary. 1. Complete the table X-4 (x-1)- 3 10 12 18 Compute the following: a. Population mean b. Population variance c. Population standard deviation
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![7:27 M
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E [Template] Sampling and.
(8, 8)
(8, 2)
1| Page
(8, 4)
(8, 6)
Calculate the following:
a. Mean of the sampling distribution of means.
b.
Variance of the sampling distribution of means.
Standard deviation of the sampling distribution of means.
C.
IV - Answer each question:
1. If a population has a mean of 5.6, what is the mean of the sampling distribution of its means?
2. If the mean of the sampling distribution of the means is 12.6, what is the mean of the
population?
3. If a population has a variance of 8.4, what is the variance of the sampling distribution of its
means? The sampling distribution has a sample size of 2 and all posible samples are drawn with
replacements.
4. If the population has a standard deviation of 4.6, what is the standard deviation of the sampling
distribution of its means? The sampling distribution was derived with sample size n= 4 and all
possible samples were drawn with replacements.
5. Consider a population consisting of values (2, 4, 6, 8)
a.
List all the possible samples of size 2 that can be drawn from the population without
replacement.
b. Compute the mean of the sampling distribution of the means.
C.
Compute the variance of the sampling distribution of the means.
d. Compute the standard deviation of the sampling distribution of the means.
e. Construct the probability histogram of x with replacement when n = 2.
2| Page
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F652ff9c5-b06a-476d-940f-048b36c9a95b%2F02452b06-a552-4479-a430-6d9714138940%2F57sn95x_processed.jpeg&w=3840&q=75)
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E [Template] Sampling and...
SENIOR HI
CHAPTER III
OYOLAS
Statistics and Probability
CARMONA SENIOR HIGH
SCHOOL
Name
Year and
CARMONA, CAVITE
Section
Subject: Statistics and Probability
Session: Sampling and Sampling Distribution
II- Answer each of the following questions. Use extra sheets if necessary.
1. Complete the table
X-4
(x-4):
10
12
18
Compute the following:
a. Population mean
b. Population variance
c. Population standard deviation
2. Complete the following table
Sample
Мean x
(x-4):
(2, 2)
(2, 4)
(2, 6)
(2, 8)
(4, 4)
(4. 2)
(4. 6)
(4, 8)
(6, 6)
(6, 4)
(6, 8)
(8, 8)
(8, 2)
1| Page
(8, 4)
(8, 6)
Calculate the following:
a.
Mean of the sampling distribution of means.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F652ff9c5-b06a-476d-940f-048b36c9a95b%2F02452b06-a552-4479-a430-6d9714138940%2Fail58rl_processed.jpeg&w=3840&q=75)
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