A consumer advocate analyzes the nicotine content in two brands of cigarettes. A sample of 20 cigarettes of Brand A resulted in an verage nicotine content of 1.68 milligrams with a standard deviation of 0.22 milligram; 25 cigarettes of Brand B yielded an average nicotine content of 1.95 milligrams with a standard deviation of 0.24 milligram. Brand A Brand B X = 1.68 X2 = 1.95 S1 = 0.22 S2 = 0.24 n, = 20 n2 = 25 %3D Construct the 95% confidence interval for the difference between the two popula- tion means. Nicotine content is assumed to be normally distributed. In addition, the pOnulation yariances are unknown but assumed equal.

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s3, where the weights applied are their respective degrees of freedom relative to the total
number of degrees of freedom. In the case when of and o are unknown and cannot be
assumed equal, we cannot calculate a pooled estimate of the population variance.
EXAMPLE
A consumer advocate analyzes the nicotine content in two brands of cigarettes.
A sample of 20 cigarettes of Brand A resulted in an verage nicotine content of
1.68 milligrams with a standard deviation of 0.22 milligram; 25 cigarettes of Brand
B yielded an average nicotine content of 1.95 milligrams with a standard deviation
of 0.24 milligram.
Brand A
Brand B
X1 = 1.68
X2 = 1.95
S1 = 0.22
S2 = 0.24
n, = 20
n2 = 25
Construct the 95% confidence interval for the difference between the two popula-
tion means. Nicotine content is assumed to be normally distributed. In addition, the
population variances are unknown but assumed equal.
Transcribed Image Text:Page of 6 s3, where the weights applied are their respective degrees of freedom relative to the total number of degrees of freedom. In the case when of and o are unknown and cannot be assumed equal, we cannot calculate a pooled estimate of the population variance. EXAMPLE A consumer advocate analyzes the nicotine content in two brands of cigarettes. A sample of 20 cigarettes of Brand A resulted in an verage nicotine content of 1.68 milligrams with a standard deviation of 0.22 milligram; 25 cigarettes of Brand B yielded an average nicotine content of 1.95 milligrams with a standard deviation of 0.24 milligram. Brand A Brand B X1 = 1.68 X2 = 1.95 S1 = 0.22 S2 = 0.24 n, = 20 n2 = 25 Construct the 95% confidence interval for the difference between the two popula- tion means. Nicotine content is assumed to be normally distributed. In addition, the population variances are unknown but assumed equal.
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