Question

  1. We want to test if it takes less than 60 minutes to answer the quarterly test in Calculus.

Ask by Vargas Beck. in the Philippines
Mar 29,2025

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Tutor-Verified Answer

Answer

Hypotheses:
  • Null Hypothesis ( ): The mean time to answer the test is 60 minutes or more.
  • Alternative Hypothesis ( ): The mean time to answer the test is less than 60 minutes.

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Extra Insights

Did you know that hypothesis testing has its roots in the world of statistics in the early 20th century, primarily attributed to the work of Karl Pearson and Ronald A. Fisher? They laid the groundwork for how we analyze data with techniques to make decisions based on sample results, ensuring that we don’t jump to conclusions without sufficient evidence!
When conducting your test for whether it takes less than 60 minutes, remember to clearly define your null hypothesis (the average time is 60 minutes or more) and your alternative hypothesis (the average time is less than 60 minutes). This will set the stage for analysis, so you don’t confuse your conclusions down the line!

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