BuyFindarrow_forward

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

Solutions

Chapter
Section
BuyFindarrow_forward

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

For the following sample of n = 8 scores: 0, 1, ½, 0, 3, ½, 0, and 1:

  1. Simp1ify the arithmetic by first multiplying each
  2. score by 2 to obtain a new sample of 0, 2, 1, 0, 6,

0 and 2. Then, compute the mean and standard

deviation for the new sample.

  • Using the value you obtained in part a, what are the values for the mean and standard deviation for the original sample?
  • To determine

    Mean and standard deviation of a new converted sample and using the result of new sample we need to find the mean standard deviation of old sample

    Explanation

    Here we have to find the first mean then variance and followed by SD. So, in the calculation part will see how each step has done. And for part b will use part a and the sample values will be half of that and the statistic mean, and SD will follow from this only.

    Given:

    Here y=0, 1, 0.5, 0, 3, 0.5,0,1 and n=8, samples are given

    Formula Used:

    For sample of size n, we have below formulas

    Mean= x ¯ = 1 n i=1 n x i

    Variance= 1 n1 i=1 n ( x i x ¯ ) 2

    Standard Deviation (SD)= 1 n1 i=1 n ( x i x ¯ ) 2

    [we know the properties of mean and Variance

    Define,

    Y=X+b

    Z=a*X

    To find the mean and Variance of Y and Z

    Where X having mean m and Variance s2

    E(Y) =E (X +b) =E(X) +b=m+b; var(Y) =Var(X) = s2

    E(z)=a*E(X)=a*m; Var(Z)=var(X)*a2= s2*a2

    Here a and b are arbitrary constant]

    Calculation:

    a)

    Y X=2*y (x- x ¯ )2
    0 0 2.25
    1 2 0.25
    0.5 1 0.25
    0 0 2.25
    3 6 20.25
    0.5 1 0.25
    0 0 2

    Still sussing out bartleby?

    Check out a sample textbook solution.

    See a sample solution

    The Solution to Your Study Problems

    Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

    Get Started

    Additional Math Solutions

    Find more solutions based on key concepts

    Show solutions add

    In Exercises 5-8, find the limit. limx0(x+x)2x2x

    Calculus: An Applied Approach (MindTap Course List)

    A FALLING Stone A stone is thrown straight up from the roof of an 80-ft building, and the height (in feet) of t...

    Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

    If f(x)=0xx2sin(t2)dt, find f(x).

    Single Variable Calculus: Early Transcendentals

    limh04+h2h is the derivative of: a) f(x)=4+x at x = 2 b) f(x)=x at x = 4 c) f(x)=x at x = 2 d) f(x)=4+h2h at x ...

    Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th