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Sample Size Statistic

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HI,

I am having difficulty understanding statistics. I had just completed a paper in which I made a statistical comparison using gas prices in 1975 and 2006. The gas prices were in today's dollars. I need to do a small sample size statistic with the same info and I'm lost. Could you walk me through this with the 5 step hypothesis and a description of the results?

Thank you

Response:
This is the chart I used

Historical Gas Prices
(Adjusted for inflation)
Year Price Per Gallon
1950 $1.91
1955 $1.85
1960 $1.79
1965 $1.68
1970 $1.59
1975 $1.80
1980 $2.59

1985 $1.90
1990 $1.51
1995 $1.28
2001 $1.66
2002 $1.31
2003 $1.52
2004 $1.79
2005 $2.28
2006 (so far) $2.68

If you need more info please advise.
Thank You

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Please see the attached file.

Testing the coefficient of correlation: When there is no linear relationship between two variables,  = 0.

Hypotheses: H0:  = 0 vs. HA:  ¹ 0
Test statistic:

The statistic is Student t-distributed with ...

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