Assume the random variable \( X \) is normally distributed with mean \( \mu=50 \) and standard deviation \( \sigma=7 \). Find the 77 th percentile. The 77 th percentile is (Round to two decimal places as needed.)

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

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.)

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

Calcúlese el estimador máximo-verosímil del parámetro \( \lambda \) la distribución de Poisson en muestras aleatorias simples de tamaño \( n \).

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?