Assume the random variable X is normally distributed, with mean \( \mu=48 \) and standard deviation \( \sigma=8 \). Find the 12 th percentle The 12 th percentile is (Round to two decimal places as needed.)

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

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.

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?

Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4140 patients treated with the drug, 137 developed the adverse reaction of nausea. Construct a \( 90 \% \) confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)