topic: Finding the Mean and theVariance of the SamplingDistribution of the Sample Means|answer the questions with solutions Additional ActivitiesOkay! This is our last wrap up. You will be able to help Harvey allthroughout this Module 5 in Statistics and Probability.The following are just supplemental problems to enrich your knowledgeand skilla of the lesson learned. Good luck and God bless!Direction: Solve the given real - life problem below. Show the completesolution for the following tasks.Problem: As a Physical Education teacher of Hermosa National HighSchool Senior High School, Ma'am Mary Ann wants to compute for theBody Mass Index of few students as part of her research. As a start, thetable below shows the heights of five students in meters. SupposedNamples of size 2 are taken from this population of five students, completethe given table and answer the following tasks. Construct the desiredtables needed for your solutions and answers.StudentHeight (X)Hazel Kim1.472.16Mee Ann Mae1.582.50Grace Ann1.672.79Jethro1.692.86Chelsea Mae1.512.28TOTAL7.9212.591. Solve for the mean of the population p.2. Solve for the mean of the sampling distribution of the sample means3. Compare u and e4. Solve for the variance (a') and the standard deviation (a) of the population.5. Solve the variance (o') and the standard deviation (o) of the samplingdistribution of the sample means6. Compare o and og.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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topic: Finding the Mean and the
Variance of the Sampling
Distribution of the Sample Means|

answer the questions with solutions

Additional Activities
Okay! This is our last wrap up. You will be able to help Harvey all
throughout this Module 5 in Statistics and Probability.
The following are just supplemental problems to enrich your knowledge
and skilla of the lesson learned. Good luck and God bless!
Direction: Solve the given real - life problem below. Show the complete
solution for the following tasks.
Problem: As a Physical Education teacher of Hermosa National High
School Senior High School, Ma'am Mary Ann wants to compute for the
Body Mass Index of few students as part of her research. As a start, the
table below shows the heights of five students in meters. Supposed
Namples of size 2 are taken from this population of five students, complete
the given table and answer the following tasks. Construct the desired
tables needed for your solutions and answers.
Student
Height (X)
Hazel Kim
1.47
2.16
Mee Ann Mae
1.58
2.50
Grace Ann
1.67
2.79
Jethro
1.69
2.86
Chelsea Mae
1.51
2.28
TOTAL
7.92
12.59
1. Solve for the mean of the population p.
2. Solve for the mean of the sampling distribution of the sample means
3. Compare u and e
4. Solve for the variance (a') and the standard deviation (a) of the population.
5. Solve the variance (o') and the standard deviation (o) of the sampling
distribution of the sample means
6. Compare o and og.

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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topic: Finding the Mean and the Variance of the Sampling Distribution of the Sample