The industry standard specifies that a 500 ml can of beer must contain at least 480 ml and at most520 ml of beer. The quality management team at a beer manufacturing plant has been monitoringthe volume of beer filled in 500 ml cans for 7 days, and concluded that the filling process is in control,follows a normal distribution and is centred on the target value of 500 ml. The standard deviation offilling weights is estimated to be equal to 4.5 ml. Find and interpret the value of the C, capabilityindex.

It is given that Upper Specification limit, USL = 520 Lower Specification limit, LSL = 480 SD = 4.5

Answered: The industry standard specifies that a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
Matthew wants to estimate the mean fat content of a pack of potato chips manufactured by UniBee Foods. He wants to be 90% confident that the estimate is accurate within 0.5 mg. Old records showed a 1.2 mg standard deviation. What should be the minimum sample size that he needs to construct this estimate?
A patient is classified as having gestational diabetes if their glucose level is above 144 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with µ= 146 mg/dl and o = 4 mg/dl. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: (a) 4 times CS Scanned with CamScanner
The weights of an adult female population of killer whales are approximately normally distributed with a mean of 18,000 pounds and a standard deviation of 4,000 pounds. The weights of an adult male population of killer whales are approximately normally distributed with a mean of 30,000 pounds and a standard deviation of 6,000 pounds. A certain adult male killer whale weighs 24,000 pounds. This adult male would have the same z-score weight as a female killer whale whose weight, in kilograms, is equal to which of the following? Select one: 1. 24,000 2. 30,000 3. 36,000 4. 21,000 5. 14,000
Erin is a nutritionist and cardiologist. She is testing whether the average total cholesterol level of adults in the region is less than 175mgdL. Erin randomly selects 25 people in the region who willingly allowed their blood to be drawn for the survey. Based on several previous studies, Erin assumes that the population standard deviation for the total cholesterol level is 30.22mgdL. For this test: H0:μ=175; Ha:μ<175, which is a left-tailed test. The test results are: z0=−1.158, p-value is = 0.123 Using a 5% level of significance, which of the following are appropriate conclusions for this hypothesis test? Select all that apply. Select all that apply: We reject H0. We fail to reject H0. At the 5% significance level, the data provide sufficient evidence to conclude that the average total cholesterol level of adults in the region is less than 175mgdL. At the 5% significance level, the data do not provide sufficient evidence to conclude that…
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