Flynn Bright
05/24/2023 · High School
Use technology and a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the given sample statistics. Assume the population is normally distributed. Claim: \( \mu>77 ; \alpha=0.01 \) Sample statistics: \( \bar{x}=79.7, \mathrm{~s}=2.8, n=27 \) What are the null and alternative hypotheses? Choose the correct answer below. \( \begin{array}{ll}\text { A. } H_{0}: \mu \geq 77 & \text { B. } H_{0}: \mu \neq 77 \\ H_{A}: \mu<77 & H_{A}: \mu=77 \\ \text { C. } H_{0}: \mu \leq 77 & \text { D. } H_{0}: \mu=77 \\ H_{A}: \mu>77 & H_{A}: \mu \neq 77\end{array} \)
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The correct answer is C. \( H_{0}: \mu \leq 77 \) and \( H_{A}: \mu > 77 \)
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