1) Gasoline pumped from a supplier\'spipeline is supposed to have an octane rati

Question

1) Gasoline pumped from a supplier'spipeline is supposed to have an octane rating of 87.3. On 13consecutive days a sample was taken and analyzed with the followingresults:

    88.6 86.4 87.2 88.4 87.2 87.6 86.8 88.1 87.4 87.9 86.4 86.9 87.5

Is there sufficient evidence to show that these octane readingwere taken from gasoline with a mean octane significantly greaterthan 87.3 at the = 0.05?

Explanation / Answer

=87.3, n=13 xbar= 87.42 ,S=0.7 =0.05, t(0.05, df= n-1 =12)= 1.78 (check student t table) The test hypothesis is Ho:< =87.3 Ha:>87.3 The test statistics is t=(xbar - )/ (s/n)= (87.42 -87.3)/ (0.7/sqrt(13)) = 0.6181 Since t=0.6181 < 1.78, we do not reject Ho.

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