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A random sample of 16 winter days in Denver gave a sample mean pollution index of...

A random sample of 16 winter days in Denver gave a sample mean pollution index of 43 with a standard deviation of 16. For Englewood (a suburb of Denver), a random sample of 17 winter days gave a sample mean pollution index of 51 with a standard deviation of 13. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. show all 5 steps

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Answer #1

Degree of freedom=n1+n2-2=16+17-2=31

p-value=P(|t|<-1.58)

=0.1243

p-value > significance(alpha=0.01), Fail to reject Null hypothesis.

There is not enough evidence to support the claim that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter.

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