MHB Null hypothesis and alternate hypotheses

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The discussion focuses on formulating the null and alternate hypotheses regarding the variation in seventh-grade test scores. The principal claims that her school's test scores vary less than those of a neighboring school, which has a standard deviation of 14.7. The null hypothesis (H0) is that the variation in test scores at her school is equal to or greater than 14.7, while the alternate hypothesis (H1) posits that the variation is less than 14.7. The conversation emphasizes the importance of starting with the null hypothesis to test the principal's claim. Understanding these hypotheses is crucial for conducting proper hypothesis testing in statistics.
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express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer
 
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rainbow said:
express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer

Hi rainbow,

So with hypothesis testing we usually aim for an argument from contradiction, which means we assume the thing we want to disprove as a starting point. What is the claim that we want to disprove? This would be the null hypothesis.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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