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  • July 29, 2023
  • Statistics

Comparing Exam Scores | ACT vs. SAT – Determining Your Performance Relative to Mean and Standard Deviation

There are two college entrance exams that are often taken by​ students, the ACT and the SAT. The composite score on the ACT is approximately normally distributed...
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  • John Rhodes
  • July 29, 2023
  • Statistics

Observational Study | Association between TV in Bedroom and Higher BMI in Adolescents, with Potential Lurking Variables

Researchers wanted to determine if having a television​ (TV) in the bedroom is associated with obesity. The researchers administered a questionnaire to 350 twelve-year-old adolescents. After analyzing...
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  • John Rhodes
  • July 29, 2023
  • Statistics

Analyzing Histogram Characteristics to Determine If a Normal Distribution Model Fits the Data

A study was conducted that resulted in the following relative frequency histogram. Determine whether or not the histogram indicates that a normal distribution could be used as...
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  • John Rhodes
  • July 29, 2023
  • Statistics

Calculating the Probability of Observing Values Above the Mean (μ) in a Normal Distribution

The area under the normal curve to the right of μ equals The area under the normal curve to the right of μ refers to the probability...
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  • John Rhodes
  • July 29, 2023
  • Statistics

Confidence Interval Analysis on Adults’ Perception of Low Wages during Economic Uncertainty | A Statistical Interpretation

In a survey of 2085 adults in a certain country conducted during a period of economic​ uncertainty, 57​% thought that wages paid to workers in industry were...
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  • John Rhodes
  • July 29, 2023
  • Geometry

The Role of Conjectures in Mathematics | Inspiring Research, Guiding Discoveries

conjecture A conjecture in mathematics is a statement or proposition that is believed to be true, although it has not been formally proven or disproven A conjecture...
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  • John Rhodes
  • July 29, 2023
  • Geometry

Exploring Perpendicular Lines | Definition, Slopes, and Applications in Mathematics

perpendicular lines Perpendicular lines are two lines that intersect each other at a right angle (90 degrees) Perpendicular lines are two lines that intersect each other at...
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  • John Rhodes
  • July 29, 2023
  • Geometry

The Role of Counterexamples in Mathematics | Disproving Statements and Refining Conjectures

counterexample A counterexample, in mathematics, is an example that disproves a statement or conjecture A counterexample, in mathematics, is an example that disproves a statement or conjecture....
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