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This module provides a practice on F Distribution and One-Way ANOVA as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

Student learning outcome

  • The student will conduct a One-Way ANOVA hypothesis test.


Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.

Northeast South West Central East
16.3 16.9 16.4 16.2 17.1
16.1 16.5 16.5 16.6 17.2
16.4 16.4 16.6 16.5 16.6
16.5 16.2 16.1 16.4 16.8
x ¯ = size 12{ {overline {x}} ={}} {} ________ ________ ________ ________ ________
s 2 = size 12{s rSup { size 8{2} } ={}} {} ________ ________ ________ ________ ________


State the hypotheses.

H o size 12{H rSub { size 8{O} } } {} :

H a size 12{H rSub { size 8{a} } } {} :

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Data entry

Enter the data into your calculator or computer.

degrees of freedom - numerator: df ( n ) = size 12{ ital "df" \( n \) ={}} {}

d f ( 1 ) = 4

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degrees of freedom - denominator: df ( d ) = size 12{ ital "df" \( d \) ={}} {}

d f ( 2 ) = 15

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F test statistic =

Test statistic = F = 4.22

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Decisions and conclusions

State the decisions and conclusions (in complete sentences) for the following preconceived levels of α size 12{α} {} .

α = 0 . 05 size 12{α=0 "." "05"} {}



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α = 0 . 01 size 12{α=0 "." "01"} {}



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Questions & Answers

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At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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