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Answer :
Final answer:
For the claim that the mean weight of female dancers in a local modern dance company is 131 lbs, we form the null hypothesis (H0) as μ=131 and the alternative hypothesis (H1) as μ!=131.
Explanation:
The null hypothesis (H0) and the alternative hypothesis (H1) for the given claim can be expressed symbolically as follows:
- H0: μ = 131
- H1: μ != 131
The null hypothesis states that the mean weight of female dancers in a local modern dance company is equal to 131 lbs, which is the established theory we start with and will either be rejected or not rejected based on the data. The alternative hypothesis contradicts with null hypothesis and states that the mean weight is not 131 lbs which will be accepted if null hypothesis is rejected based on the sample mean of 128 lbs. These two hypotheses are central to performing a hypothesis test which determines statistically if the sample data support the null hypothesis or alternative hypothesis.
Learn more about Hypothesis Testing here:
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