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Comparing Means: T-Test for Travel Distance between Men and Women - Prof. Lorrie L. Hoffma, Study notes of Statistics

Instructions on how to perform a t-test to compare the means of travel distance between men and women using a small sample size. It includes the problem statement, theory background, and steps to calculate the t-score and compare it to the t-value from the t-table. The document also explains how to find the degrees of freedom and the confidence interval for the difference in means.

Typology: Study notes

Pre 2010

Uploaded on 08/04/2009

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CI and Testing to compare Means
NEW TYPE OF QUESTION
Test whether men at AASU have a mean
travel distance that is greater than the
mean travel distance for women. Use
. Collect data on 3 men and 3
women. Ho: men = women Ha: men > women
Note: these are really too small samples.
THEORY:
men women
x x
_____________________ is a t-score
2 2
men women
men women
s s
n n
1
pf3
pf4
pf5

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CI and Testing to compare Means

NEW TYPE OF QUESTION

Test whether men at AASU have a mean

travel distance that is greater than the

mean travel distance for women. Use

. Collect data on 3 men and 3

women. Ho: men = women Ha: men > women

Note: these are really too small samples.

THEORY:

men women

x  x

_____________________ is a t-score

2 2 men women men women

s s

n n

when you compare it to a t-value in the t-table A- your df =

2 2 men women men women 2 s s n n 

____________________________

2 2 2 2 men women men men women women

1 s 1 s

n 1 n n 1 n

EEEKK!! Let XL do it.

This number is always between

((Smallest n) –1) and (the sum of the n’s – 2)

s / n^ given to you in the problem or for this new situation men women x  x / 2 2 men women men women s s n n       

  1. go to the t-tables in A- A.Look for 2-tail or one-tail B. Look for so now you know which column C. Find the correct row by using your df D. Pluck off your t-value E.Put a negative in front of your t-value if there is a < in your Ha hypothesis 4.COMPARE A.If Ha is < and your t-score < - t-value then “go with” Ha B. If Ha is > and your t-score > - t-value then “go with” Ha C. If Ha is not equal to sign then if either A. or B. is true then “go with” Ha.

The t-tables are found in text

Upper tail probability

df .10 .05 .025 .01…

Confidence level