Do males have a significantly lower mean on the ACT test than females?nst. dev12pt ✓I50ParagraphMalesFemalesWhat is the appropriate statistical test that should be used to test for significance?Calculate the standard error, the test statistic, and the degrees of freedom?What is the critical score?Do males score significantly lower than females?Edit View Insert Format Tablemean2518.821.34.53.0✓ T²✓ E✓ EV SVB I UAV 2 ✓ T²VT田√x+ <> ✓

Answered: Do males have a significantly lower…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Do males have a significantly lower mean on the ACT test than females?
n
st. dev
12pt ✓
I
50
Paragraph
Males
Females
What is the appropriate statistical test that should be used to test for significance?
Calculate the standard error, the test statistic, and the degrees of freedom?
What is the critical score?
Do males score significantly lower than females?
Edit View Insert Format Table
mean
25
18.8
21.3
4.5
3.0
✓ T²✓ E✓ EV SV
B I UAV 2 ✓ T²V
T田
√x
+ <> ✓

Expert Solution

Step 1: Definition

t-test is used when population is from normal distribution and population standard deviation is unknown.

t-test for different sample variance is given as :

$t space equals space fraction numerator x minus y over denominator square root of s squared subscript 1 over n subscript 1 plus s squared subscript 2 over n subscript 2 end root end fraction space tilde space t subscript n text where n is degree of freedom.Pooled degree of freedom is given as : end text d. f space equals space fraction numerator open parentheses s squared subscript 1 over n subscript 1 plus space s squared subscript 2 over n subscript 2 close parentheses squared over denominator fraction numerator open parentheses s squared subscript 1 over n subscript 1 close parentheses squared over denominator n subscript 1 minus 1 end fraction plus fraction numerator open parentheses space s squared subscript 2 over n subscript 2 close parentheses squared over denominator n subscript 2 minus 1 end fraction end fraction$