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Math 1040 Semester Project. ~ Group 6 ~ Kimberly Jorgensen, Daniel Lollathin and Whitney Woodruff. Research Question. Is there any relation between the number of hours of sleep an individual gets and the amount of caffeinated beverages consumed daily?. Data Collection.
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Math 1040 Semester Project ~ Group 6 ~ Kimberly Jorgensen, Daniel Lollathin and Whitney Woodruff
Research Question • Is there any relation between the number of hours of sleep an individual gets and the amount of caffeinated beverages consumed daily?
Data Collection • We decided to take a systematic sampling approach and sample between ten and twenty individuals each, resulting in a sufficient sample size of over 30 people.
Variable 1 Statistics– Hours of sleep • Mean: 6.78 • Standard deviation: 1.36975 • Five-number summary • MIN: 2 • Q1: 6 • Median: 7 • Q3: 8 • MAX: 10 • Range: 8 • Mode: 7 • Outliers: 2
Variable 1 Statistics– Caffeinated drinks • Mean: 1.5 • Standard deviation: 1.6507 • Five-number summary • MIN: 0 • Q1:0 • Median: 1 • Q3: 2 • MAX: 7.5 • Range: 7.5 • Mode: 0 • Outliers: 5, 5, 5, 6, 6, 7.5
Calculations Correlation coefficient: -.2956 • Line of regression: • Y=-.2466x+7.1499
What does this mean? • The critical value for the line of regression in this case is near .205. With a result closer to .3 it would appear that there is a very weak relationship between our variables, but it is still statistically significant.
Difficulties and Surprises Encountered • We felt like one difficulty was the determination on the amount of caffeine consumed. Different types of drinks hold varying amounts of caffeine. • It is difficult to compare the amounts of caffeine per drink
Difficulties and Surprises Encountered (cont.) • Another difficulty in this type of study is the awareness and honesty of the individual being sampled. Being unaware how much sleep vs. caffeine consumed makes this study difficult. • We were also surprised that there was not a stronger correlation between the two variables.
Kimberly – Data collection, PowerPoint assembly, Results, (Slides 1,4,7,10,11,12) • Daniel – Data collection, Summary, Conclusion, Difficulties/Surprises, (Slides 2,3,13,14) • Whitney – Data collection, Graphs, (Slides 5,6,8,9)