What assumption is needed for this CI to be valid?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The NTSB wants to estimate the difference between the average stopping distance for a car traveling 40 MPH on wet versus dry pavement.  Ten vehicles were used for the study where each vehicle was driven at 40 MPH and came to a sudden stop on both wet pavement and dry pavement.  The stopping distance was measured (feet) for each pavement condition and the data is shown below followed by Minitab output with the CI.


Estimation for Paired Difference

Mean StDev SE Mean 95% CI for
μ_difference
34.700 2.452 0.775 (32.946, 36.454)

b. What assumption is needed for this CI to be valid?

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