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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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