Two of the teams competing in the America's Cup race are Team Oracle U.S.A. and Land Rover BAR. They race their boats over a part of the course several times. Below are a sample of times in minutes for each boat. Assume the population standard deviations are not the same.   At the 0.05 significance level, can we conclude that there is a difference in their mean times?   Boat Time (minutes) Land Rover BAR 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3     Team Oracle 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0           Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)     State the decision rule for 0.05 significance level: H0: μLand Rover = μOracle; H1: μLand Rover ≠ μOracle. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)     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
Section10.4: Distributions Of Data
Problem 19PFA
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Two of the teams competing in the America's Cup race are Team Oracle U.S.A. and Land Rover BAR. They race their boats over a part of the course several times. Below are a sample of times in minutes for each boat. Assume the population standard deviations are not the same.

 

At the 0.05 significance level, can we conclude that there is a difference in their mean times?

 

Boat Time (minutes)
Land Rover BAR 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3    
Team Oracle 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0
 

 

 

 

 

  1. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)

 

 
  1. State the decision rule for 0.05 significance level: H0: μLand Rover = μOracle; H1: μLand RoverμOracle. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

 

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

 

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