Question 5 A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a process. (a) If three-sigma limits are used, find the sample size for the control charte 2 (b) Use the Poisson approximation to the binomial to find the probability of type I error. (c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction defective is actually p = 0.20.

A study reported the results of a randomized trial of​ whole-body hypothermia​ (cooling) for neonatal hypoxicischemic encephalopathy​ (brain problems in babies due to lack of​ oxygen). Twenty-nine of the 99 infants randomly assigned to hypothermia died and 44 of the 97 infants in the control group died. Complete parts​ (a) and​ (b) below. 1. Find the test statistic for this test. z = ___ ​(Round to two decimal places as​ needed.) 2. Find the​ p-value for this test. p-value = ___ (Round to three decimal places as​ needed.) 3. What is the conclusion for this​ test? Use a significance level of 0.10.

The minimum fatigue life of rivets in the fuselage of a certain type of aircraft is modeled with a two-parameter Weibull distribution (&=0). During accelerated testing for the purpose of certification and approval by the FAA, the mean value of minimum life is found to be 90 minutes and the coefficient of variation is 15%. The rivet design is unacceptable if the minimum life during accelerated testing is less than 50 minutes. What is the probability of non-acceptance of the rivet design?

Find the value of variance in the Binomial distribution where there are 5 samples and p=0.3.