Questions: Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1170 ; α=0.01 ; σ=214.43. Sample statistics: x̄=1190.46, n=250 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ ≥ 1190.46 Ha: μ<1190.46 C. H0: μ ≤ 1190.46 Ha: μ>1190.46 E. H0: μ>1170 Ha: μ ≤ 1170 F. H0: μ>1190.46 Ha: μ ≤ 1190.46 Calculate the standardized test statistic, z. Use the z formula. The standardized test statistic, z is . (Round to two decimal places as needed.)
Transcript text: Use technology to help you 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: $\mu>1170 ; \alpha=0.01 ; \sigma=214.43$. Sample statistics: $\bar{x}=1190.46, n=250$
Identify the null and alternative hypotheses. Choose the correct answer below.
A. $H_{0}: \mu \geq 1190.46$ $H_{a}: \mu<1190.46$
C. $H_{0}: \mu \leq 1190.46$ $H_{a}: \mu>1190.46$
E. $H_{0}: \mu>1170$
$H_{a}: \mu \leq 1170$
F.
\[
\begin{array}{l}
\mathrm{H}_{0}: \mu>1190.46 \\
\mathrm{H}_{\mathrm{a}}: \mu \leq 1190.46
\end{array}
\]
Calculate the standardized test statistic, $z$. Use the $z$ formula.
The standardized test statistic, $z$ is $\square$ I.
(Round to two decimal places as needed.)
Solution
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