Respuesta :
Answer:
First, we find the square of the difference of the z values provided and sum them up giving us a value of 4.997956. We, therefore, calculate the sum of the sample mean given the number of samples to be 5 which gives us zero(0).
To calculate the standard deviation we use the formula that takes the square root of the inverse of the number of samples (n)*(the summation of the square of the difference between the sample and the mean which gives us 1.
*Step-by-step explaination
Given z3= -1.101, (z3 minus mean of z3)^2= 1.212201
Given z4= -0.944, (z4 minus mean of z4)^2=0.891136
Given z9= -0.157, (z9 minus mean of z9)^2= 0.024649
Given z14= 0.629, (z14 minus mean of z14)^2= 0.395641
Given z20= 1.573, (z20 minus mean of z20)^2= 2.474329
Therefore the summation of all Z values = Zero(0)
Also, the summation of (z values minus the mean of z values)^2= 4.997956
Therefore where n =5,
The sample mean of z values is given by the summation of z values divided by n = Zero (0)
To calculate standard deviation we use the formula that takes the square root of the inverse of the number of samples (n)*(the summation of the square of the difference between the sample and the mean which gives us 1.
Using it's concepts, it is found that:
- The mean of the z-scores is 0.
- The standard deviation of the z-scores is 1.
- The mean of a data-set is the sum of all elements in the data-set, divided by the number of elements.
- The standard deviation of a data-set is the sum of the difference squared between each value and the mean, divided by the number of values.
In this problem, the observations are: -1.101, -0.944, -0.157, 0.629 and 1.573.
Hence:
[tex]M = \frac{-1.101 - 0.944 - 0.157 + 0.629 + 1.573}{5} = 0[/tex]
The mean of the z-scores is 0.
[tex]S = \sqrt{\frac{(-1.101-0)^2 + (-0.944-0)^2 + (-0.157-0)^2 + (0.629-0)^2 + (1.573-0)^2}{5}} = 1[/tex]
The standard deviation of the z-scores is 1.
A similar problem is given at https://brainly.com/question/24754716
