An investigation of the effectiveness of an antibacterial soap in reducing operating room contamination resulted in the accompanying table. The new soap was tested in a sample of eight operating rooms in the greater Seattle area during the last year. The following table reports the contamination levels before and after the use of the soap for each operating room.    Operating Room A B C D E F G H Before 6.6 6.5 9.0 10.3 11.2 8.1 6.3 11.6 After 6.8 2.4 7.4 8.5 8.1 6.1 3.4 2.0     State the decision rule for 0.05 significance level: H0: μd ≤ 0; H1: μd> 0. (Round your answer to 3 decimal places.)   2. Compute the value of the test statistic. (Round your answer to 2    decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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An investigation of the effectiveness of an antibacterial soap in reducing operating room contamination resulted in the accompanying table. The new soap was tested in a sample of eight operating rooms in the greater Seattle area during the last year. The following table reports the contamination levels before and after the use of the soap for each operating room. 

  Operating Room
A B C D E F G H
Before 6.6 6.5 9.0 10.3 11.2 8.1 6.3 11.6
After 6.8 2.4 7.4 8.5 8.1 6.1 3.4 2.0
 

 

  1. State the decision rule for 0.05 significance level: H0: μd ≤ 0; H1: μd> 0. (Round your answer to 3 decimal places.)

  2. Compute the value of the test statistic. (Round your answer to 2    decimal places.)

 

 
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