Find the P-value.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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A person wonders if eating breakfast before working out would decrease their 100-meter run times or not. The person records 8 times after eating breakfast (WB) and 8 times without breakfast (WOB). Examine if having breakfast before running does in fact lower 100-meter times. That is, test the null hypothesis: uWOB=uWB vs. Alternative: uWOB >uWB. Find the P-value.
ID Without Breakfast (WOB) With Breakfast (WB) Difference
1 29.41 29.31 0.1
2 29.02 28.02 1
3 29.35 29.32 0.03
4 31.02 27.98 3.04
5 28.92 28.97 -0.05
6 29.12 29.04 0.08
7 29.87 30.27 -0.4
8 31.17 28.73 2.44
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Hypothesis Tests and Confidence Intervals for Means
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