16 Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 51 hours or less? (c) What proportion of light bulbs will last between 57 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts less than 46 hours? (a) The proportion of light bulbs that last more than 62 hours is 0.0344 . (Round to four decimal places as needed.) (b) The proportion of light bulbs that last 51 hours or less is 0.0651 (Round to four decimal places as needed.)

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

The bivariate hypothesis-testing procedure that is used when both the independent and dependent variables are continuous is (A) Continuous hypothesis test (B) Pearson's correlation (C) Analysis of variance (D) continuous samples t-test

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.)

Find the critical value \( z_{\alpha / 2} \) that corresponds to the given confidence level. \( 94 \% \)