Test the claim about the population mean, \( \mu \), at the given level of significance using the given sample statistics. Claim: \( \mu \neq 6000 ; \alpha=0.05 ; \sigma=373 \). Sample statistics: \( \bar{x}=5900, n=50 \) Identify the null and alternative hypotheses. Choose the correct answer below. \( \begin{array}{ll}H_{0}: \mu \leq 6000 & \text { B. } H_{0}: \mu \geq 6000 \\ H_{a}: \mu \neq 6000 & H_{a}: \mu \neq 6000\end{array} \) \( \begin{array}{ll}H_{0}: \mu \neq 6000 & H_{0}: \mu \neq 6000\end{array} \) \( H_{a}: \mu=6000 \) \( H_{0}: \mu=6000 \) \( H_{a}: \mu \neq 6000 \)

Exercise 1. How many residents had at least two falls in the last 24 months? Put the answer in cell B15. Exercise 2. What percentage of the nursing home residents had at most eight falls in the last 24 months? Put the answer in cell B16.

summarize your understanding of the role statistics play in managerial decision-making.

It is appropriate to model nonlinear relationships using correlational analysis. A) True (B) False

You are a journalist working on an article about the nursing profession. Survey data shows that 355 out of 1000 nurses surveyed are considering a different career. If the survey ratio is accurate and there are about 4.8 million nurses registered in the United States, about how many million nurses nationwide are considering a different career?

Express the confidence interval \( 0.111<p<0.777 \) in the form \( \hat{p} \pm E \).