PreparED Study Materials
Notes
Videos
Analyzing Grade Variance: Is it More than Usual? A Chi-Square Test
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Discover the process of analyzing variance in midterm grades with a Chi-Square test. Understand the significance of high variance and its implications. Follow along as we assess a professor's suspicion about unusually varied student performance.
Traffic Light Wait Time: Using Probability to Decode Delays
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Explore the mathematical intricacies behind calculating the waiting time for a motorist at traffic lights. Learn about normal random variables, conditional probabilities, and the challenges in determining specific waiting durations.
Thread Strength After Heat Treatment: A 99% Confidence Analysis"
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Explore the impact of heat treatment duration on thread breaking strength. Using statistical analysis, we assess the difference in mean strengths between batches. Confidence intervals help quantify this difference with 99% certainty.
Probabilities with Poisson Variables X1 & X2
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Explore the complexities of two independent Poisson random variables, X1 and X2, with means ?1 = 2 and ?2 = 3. Understand the process of calculating specific event probabilities and the application of the Poisson formula. Key takeaways include the manipulation and interpretation of these statistical values.
Committee Selection: Breaking Down Probabilities
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Uncover the mathematical methods used to determine various probabilities when selecting committees. Utilize combination formulas and probabilities to evaluate different teacher-parent combinations.
Analyzing Voter Demographics: Independence & Exclusivity
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Analyze the relationships between different political affiliations and age groups. Determine whether certain events are independent, mutually exclusive, or neither, based on the provided probabilities. The findings offer a nuanced understanding of voter demographics and their interdependencies.