Direction: On your answer sheets, match Column X to Column Y and Match Column Y to Column Z by writing the same and exact number or letter that corresponds to your answers for the following columns: Column X displays the Unknown Values, Column Y enumerates the Symbols of the Unknown Values, and Column Z reveals the exact answers. Consider the problem below for your reference. Problem: Random samples of size n = 2 are drawn from a finite population consisting of the number 5, 6, 7, 8, and 9. Compute for the Mean, Variance and Standard Deviation of the Population, and the Mean, Variance and Standard Deviation of the Sample Means. Show your complete solution and verify theorem #2. Column X Column Y Column Z A. Population Mean _1.o a. 7 B. Mean of the Sample Means 2. o?2 b. 2 C. Variance of the Population _3. Hã c. 0.75 D. Variance of the Sample Means 4. o d. 1.414 - E. Standard Deviation of the Population 5. µ e. 0.87 F. Standard Deviation of the Sample Means _6. o² f. 7
Direction: On your answer sheets, match Column X to Column Y and Match Column Y to Column Z by writing the same and exact number or letter that corresponds to your answers for the following columns: Column X displays the Unknown Values, Column Y enumerates the Symbols of the Unknown Values, and Column Z reveals the exact answers. Consider the problem below for your reference. Problem: Random samples of size n = 2 are drawn from a finite population consisting of the number 5, 6, 7, 8, and 9. Compute for the Mean, Variance and Standard Deviation of the Population, and the Mean, Variance and Standard Deviation of the Sample Means. Show your complete solution and verify theorem #2. Column X Column Y Column Z A. Population Mean _1.o a. 7 B. Mean of the Sample Means 2. o?2 b. 2 C. Variance of the Population _3. Hã c. 0.75 D. Variance of the Sample Means 4. o d. 1.414 - E. Standard Deviation of the Population 5. µ e. 0.87 F. Standard Deviation of the Sample Means _6. o² f. 7
Direction: On your answer sheets, match Column X to Column Y and Match Column Y to Column Z by writing the same and exact number or letter that corresponds to your answers for the following columns: Column X displays the Unknown Values, Column Y enumerates the Symbols of the Unknown Values, and Column Z reveals the exact answers. Consider the problem below for your reference. Problem: Random samples of size n = 2 are drawn from a finite population consisting of the number 5, 6, 7, 8, and 9. Compute for the Mean, Variance and Standard Deviation of the Population, and the Mean, Variance and Standard Deviation of the Sample Means. Show your complete solution and verify theorem #2. Column X Column Y Column Z A. Population Mean _1.o a. 7 B. Mean of the Sample Means 2. o?2 b. 2 C. Variance of the Population _3. Hã c. 0.75 D. Variance of the Sample Means 4. o d. 1.414 - E. Standard Deviation of the Population 5. µ e. 0.87 F. Standard Deviation of the Sample Means _6. o² f. 7
Compute for the Mean, Variance and Standard Deviation of the Population, and the Mean, Variance and Standard Deviation of the Sample Means. SHOW YOUR COMPLETE SOLUTION AND VERIFY THEOREM #2
Transcribed Image Text:Direction:
On your answer sheets, match Column X to Column Y and Match Column Y
to Column Z by writing the same and exact number or letter that corresponds to your
answers for the following columns: Column X displays the Unknown Values,
Column Y enumerates the Symbols of the Unknown Values, and Column Z reveals
the exact answers. Consider the problem below for your reference.
Problem:
Random samples of size n = 2 are drawn from a finite population consisting
of the number 5, 6, 7, 8, and 9. Compute for the Mean, Variance and Standard
Deviation of the Population, and the Mean, Variance and Standard Deviation of the
Sample Means. Show your complete solution and verify theorem #2.
Column X
Column Y
Column Z
A. Population Mean
_1.o
а. 7
B. Mean of the Sample Means
2. o²%
b. 2
C. Variance of the Population
3. Hã
c. 0.75
D. Variance of the Sample Means
4. o
d. 1.414
E. Standard Deviation of the Population
5. и
е. 0.87
F. Standard Deviation of the Sample Means
6. o²
f. 7
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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