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ANOVA is ENOUGH Mystery Cache

This cache has been archived.

Lord Stirling: No response from CO so archiving.
Regards,
Brian
Volunteer Cache Reviewer

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Hidden : 11/25/2008
Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The coordinates above are not the location of the cache. This is an
area to park your car. The cache is a magnetic key box. The terrain
is easy and the only difficulty will be lots of muggles. Since this is a hard cache to find, I have placed a nice FTF prize in the cache. FTF gets a 1934 US quarter and a 1934 Liberty half dollar.

This cache was created to commemorate my imminent completion of Statistics for Social Science Majors course. I decided to honor the occasion with a statistics based cache.

The coordinates for this cache can only be obtained by solving a one-way ANOVA (analysis of variance). In order to solve the problem and complete the ANOVA chart, you will need an F-Table (try a statistics textbook or online).

Here are data from an experiment studying the effects of age on geocaching finds:

Age 20: 3 5 7 4 3
Age 30: 9 11 14 10 10
Age 40: 9 12 9 8 9
Age 50: 7 7 6 4 5

Compute Fobtained and fill in the provided ANOVA summary chart. Alpha = .05.

Sum of Squares Between: BAE.IGG
Sum of Squares Within: EJ.GGG
Sum of Squares Total: BCD.IGG

degrees of freedom between: A
degrees of freedom within: BD
degrees of freedom total: BF

Mean Square Between: EE.FAA
Mean Square Within: J.DJH

Fobtained: BC.BBC

Match the numbers to their corresponding letters to complete the coordinates.

EG AI.HBE
GCE HG.BEJ

Good Luck!

Additional Hints (Decrypt)

A/N

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)