1. Listed below are the fuel economy ratings (in mile/gallon) for 11 different c
ID: 3064396 • Letter: 1
Question
1. Listed below are the fuel economy ratings (in mile/gallon) for 11 different cars. The old ratings are based on tests used before 2008 and the new ratings are based on tests that went into effect in 2008. Old 16 27 17 33 28 24 18 22 20 2921 Rating New 15 24 15 29 25 22 16 2018 26 19 Rating Use traditional method to test the claim that there is a linear correlation between the old ratings and the new ratings. The significance level is 0.05. Identify the null hypothesis, alternative hypothesis, test statistic, critical value and state your conclusion about the claim.Explanation / Answer
Answer to the question is the following:
The correlation between the 2 variable is r = .9908
Hypothesis:
Null hypo, Ho: r = 0
Alternative hypo, Ha: r != 0
Hence, t = r*sqrt( n-2 / 1-r^2 ) = .9908*sqrt( (11-2) / (1-.9908^2)) = 21.96
Critical value of t is 2.228
Since test statitic of 21.96 is more than 2.228 we conclude that the correlation is significant
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