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State whether each set of hypotheses is valid for a statistical test. (a) H₀ :μ=11 VS Hₐ​ :μ=11

1 Answer

6 votes

Final answer:

The hypotheses mentioned refer to a valid set for a two-tailed statistical test at the college level, where the null hypothesis is that the population mean is 11 and the alternative hypothesis is that it's not equal to 11.

Step-by-step explanation:

The subject of the question is statistics, specifically about forming and evaluating null and alternative hypotheses for a statistical test. The question comes from a high-level discussion of hypothesis testing, which indicates that it's likely a college-level subject.

The set of hypotheses presented by the student: H₀ : μ=11 VS Hₐ​ :μ≠11 is valid for a statistical test, where H₀ is the null hypothesis stating that the population mean is equal to 11, and Hₐ is the alternative hypothesis stating that the population mean is not equal to 11. This forms a two-tailed test since the alternative hypothesis does not specify a direction of difference (neither greater than nor less than 11), but merely that the mean is not equal to 11.

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User Carl Owens
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