The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 9 flights, the correlation between the number of passengers and total fuel cost was 0.712. State the decision rule for 0.01 significance level: H0: ρ ≤ 0; H1: ρ > 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 9 flights, the correlation between the number of passengers and total fuel cost was 0.712.

State the decision rule for 0.01 significance level: H0ρ ≤ 0; H1ρ > 0. (Round your answer to 3 decimal places.) Reject H0 if t>_____

 

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

 

Can we conclude that the correlation in the population is greater than zero? Use the 0.010 significance level.

_____ H0. It is _____ to conclude that there is a positive association in the population between the two variables. 

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