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 samples 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. Solve for the mean of the sampling distribution of the sample means μx̅. Solve for the variance (σ2) and the standard deviation (σ) of the population. Solve the variance (σ2x̅) and the standard deviation (σx̅) of the sampling distribution of the sample means μx̅.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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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 samples 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.

  1. Solve for the mean of the sampling distribution of the sample means μx̅.
  2. Solve for the variance (σ2) and the standard deviation (σ) of the population.
  3. Solve the variance (σ2x̅) and the standard deviation (σx̅) of the sampling distribution of the sample means μx̅.

 

Student
Height (X)
X2
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
Transcribed Image Text:Student Height (X) X2 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
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