Suppose we are testing brake light reaction times for a new brake light design. The current design (we will call it the old design) is known to have an average reaction time of 0.8 seconds. A random sample of 50 drivers are tested on the new design, and the 50 drivers have an average reaction time of 0.76 seconds, with a 95% confidence interval of (0.66, 0.86) seconds. Write a few sentences to explain how we should interpret this data. Explain what the null hypothesis is here, whether we rejected the null, or failed to reject, and also what the implications are.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Suppose we are testing brake light reaction times for a new brake light design. The current design (we will call it the old design) is known to have an average reaction time of 0.8 seconds.

A random sample of 50 drivers are tested on the new design, and the 50 drivers have an average reaction time of 0.76 seconds, with a 95% confidence interval of (0.66, 0.86) seconds.

Write a few sentences to explain how we should interpret this data. Explain what the null hypothesis is here, whether we rejected the null, or failed to reject, and also what the implications are.

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