# Can we conclude a positive association between two Variables

37. A regional commuter airline selected a random sample of 25 flights and found that the correlation between the number of passengers and the total weight, in pounds, of luggage stored in the luggage compartment is 0.94. Using the .05 significance level, can we conclude that there is a positive association between the two variables?

© BrainMass Inc. brainmass.com December 15, 2020, 5:32 pm ad1c9bdddfhttps://brainmass.com/statistics/correlation/can-we-conclude-a-positive-association-between-two-variables-301107

#### Solution Preview

H0: r ≤ 0 vs Ha: r > 0

t = r sqrt(n - 2) / sqrt(1 - r^2) = 0.94 sqrt(25 - 2) / ...

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided.

$2.19