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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A researcher examining the jet lag that people experience when flying long distances obtained the following data measuring the number of days required to adjust after a long flight. Do the data indicate significant differences in jet lag depending on the direction of travel? Test with α = .05.

  images

To determine
Whether there are significant mean difference between jetlag and the direction using α=0.05.

Explanation

Given info:

The data with appropriate values are provided in the question

Westbound Eastbound Same time-zone  
N=18M=2.5SS=5.5 N=18M=6SS=10 N=18M=0.5SS=1.5 G=54X2=272

Calculation:

Step 1:

State the testing hypotheses:

Null hypothesis:

H0:μ1=μ2=μ3

Alternate hypothesis:

Ha: jetlag depends on the direction of travel.

Step 2: Compute the degrees of freedom:

dfbetween=k1=31=2

So,

dfwithin=5+5+5=15

With df=2,15 and α=0.05, CV from table is CV=3.68

Now,

SStotal=X2G2N=27254218=110

Similarly,

SSwithintreatment=SSinsideeachtreatment=5

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