Unit 8, Lesson 13
Using Normal Distributions for Experiment Analysis
Algebra 2
Practice
Problem 1
Lin is working on a science experiment. She wants to determine whether salt water boils faster than freshwater. She collects 10 samples of 100 milliliters of salt water and 10 samples of 100 milliliters of freshwater. She places each sample in a beaker on a hot plate. She then records the time it takes for each group to boil and finds that the difference in mean times for the groups is 24 seconds.
Lin writes a computer program to recombine all the data into all 184,756 possible different groupings and finds that 4,008 of the different groupings have an absolute difference in means of at least 24 seconds. Is there enough evidence for Lin to conclude that the difference in means is due to the addition of salt to the water? Explain or show your reasoning.
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