Problem
Part 1 of 4 Points: 0 of 1 Save Systolic blood pressure levels above $120 \mathrm{~mm} \mathrm{Hg}$ are considered to be high. For the 100 systolic blood pressure levels listed in the accompanying data set, the mean is $123.12000 \mathrm{~mm} \mathrm{Hg}$ and the standard deviation is $18.08916 \mathrm{~mm} \mathrm{Hg}$. Assume that a simple random sample has been selected. Use a 0.10 significance level to test the claim that the sample is from a population with a mean greater than $120 \mathrm{~mm} \mathrm{Hg}$. Click the icon to view the data set of systolic blood pressure levels. Identify the null and alternative hypotheses. \begin{tabular}{lll} $\mathrm{H}_{0}:$ & $\mathbf{v}$ & $\mathbf{v}$ \\ $\mathrm{H}_{1}:$ & $\mathbf{v}$ & $\mathbf{v}$ \end{tabular} (Type integers or decimals. Do not round.)
Solution
Step 1 ：Identify the null and alternative hypotheses.
Step 2 ：The null hypothesis \(H_{0}: \mu = 120\)
Step 3 ：The alternative hypothesis \(H_{1}: \mu > 120\)
Step 4 ：\boxed{\text{Final Answer: }} \begin{tabular}{lll} \(H_{0}:\) & \(\mu\) & \(= 120\) \\ \(H_{1}:\) & \(\mu\) & \(> 120\) \end{tabular}
