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For the two large newspapers in your city, you are interested in knowing whether

ID: 3050174 • Letter: F

Question

For the two large newspapers in your city, you are interested in knowing whether there is a significant difference in the average number of pages in each dedicated solely to advertising. You randomly select 10 editions of newspaper A and 6 editions of newspaper B (excluding weekend editions). The data follow. Use = 0.01 to test whether there is a significant difference in averages. Assume the number of pages of advertising per edition is normally distributed and the population variances are approximately equal.

(Round the intermediate values to 3 decimal places. Round your answer to 2 decimal places.)

Observed t =?

The decision is to : a) reject the null hypothesis b) fail to reject the null hypothesis

A B 16 16 21 15 11 20 20 22 26 17 8 14 11 9 11 6

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of A
2 : Mean of B
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(with pooled variances)

Hypothesis test results:

Hence,

Observed t = 4.38

Since p - value is less than 0.01, reject the null hypothesis. Option a is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 8.5666667 1.9578089 14 4.3756398 0.0006
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