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-15 Pharmaceutical production. Exercise 14.5 (page 356) described the manu- facturing process of a pharmaceutical product. Repeated measurements follow a multiplier for a 99% manu- kacturing process of a pharmaceutical product. Repeated measurements follo Normal distribution with mean u equal to the true product concentration with standard deviation o = 0.0068 g/l. e0 9 mons (a) How many measurements would be needed to estimate the true concentration within +0.001 g/l with 95% confidence? (b) How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 99% confidence? What is the implication of higher confidence level? choosing a 1Oun io interested in the fol

-15 Pharmaceutical production. Exercise 14.5 (page 356) described the manu- facturing process of a pharmaceutical product. Repeated measurements follow a multiplier for a 99% manu- kacturing process of a pharmaceutical product. Repeated measurements follo Normal distribution with mean u equal to the true product concentration with standard deviation o = 0.0068 g/l. e0 9 mons (a) How many measurements would be needed to estimate the true concentration within +0.001 g/l with 95% confidence? (b) How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 99% confidence? What is the implication of higher confidence level? choosing a 1Oun io interested in the fol

MATLAB: An Introduction with Applications
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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15.15 

FERENCE IN PRACTIČE APPLY YOUR KNOWLEDGE homogeneous population. How large a sample of schoolgirls in Exonithin a (page 354) would be needed to estimate the mean IQ score u within with 99% confidence, assuming that o = multiplier for a 99% confidence level is z* = 2.576.) 15.14 Estimating mean lQ. IQ scores are typically Normally distributed points %3D 15.15 Pharmaceutical production. Exercise 14.5 (page 356) described the kacturing process of a pharmaceutical product. Repeated measurements foll Normal distribution with mean u equal to the true product concentration with standard deviation o = 0.0068 g/l. LAbe Abc (a) How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 95% confidence? bilidedofg Sh (b) How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 99% confidence? What is the implication of choosing a higher confidence level? spe byg 15.16 Thinking about power. An environmentalist group is interested in the fol- lowing hypotheses about the mean oxygen content (in milligrams per liter, mg/l) BE Ho: µ =5 mg/l versus Ha: µ < 5 mg/l of a stream: A liter of water will be collected from each of 45 random locations along the stream. Suppose that dissolved oxygen varies among sampling locations accord- ing to a Normal distribution with o = 0.92 mg/l. A statistician says that the power of the z test with a = 0.05 against the alternative that the true mear oxygen content is u = 4.75 mg/l is 0.57. (a) Explain in simple language what "power = 0.57" means. %3D (b) If we decide to collect water from more than 45 locations but change nothir else in this study, does the power increase or decrease? (c) If we decide to use a = 0.10 instead of a = 0.05 but change nothing else, de the power increase or decrease? | GLLOL (d) If we shift our interest to the alternative u =4.5 mg/l but change noth else, does the power increase or decrease? 15.17 Power and error probabilities. Consider two distinct situations. (a) A statistical test at significance level a = 0.05 has power 0.78 What are
Transcribed Image Text:FERENCE IN PRACTIČE APPLY YOUR KNOWLEDGE homogeneous population. How large a sample of schoolgirls in Exonithin a (page 354) would be needed to estimate the mean IQ score u within with 99% confidence, assuming that o = multiplier for a 99% confidence level is z* = 2.576.) 15.14 Estimating mean lQ. IQ scores are typically Normally distributed points %3D 15.15 Pharmaceutical production. Exercise 14.5 (page 356) described the kacturing process of a pharmaceutical product. Repeated measurements foll Normal distribution with mean u equal to the true product concentration with standard deviation o = 0.0068 g/l. LAbe Abc (a) How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 95% confidence? bilidedofg Sh (b) How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 99% confidence? What is the implication of choosing a higher confidence level? spe byg 15.16 Thinking about power. An environmentalist group is interested in the fol- lowing hypotheses about the mean oxygen content (in milligrams per liter, mg/l) BE Ho: µ =5 mg/l versus Ha: µ < 5 mg/l of a stream: A liter of water will be collected from each of 45 random locations along the stream. Suppose that dissolved oxygen varies among sampling locations accord- ing to a Normal distribution with o = 0.92 mg/l. A statistician says that the power of the z test with a = 0.05 against the alternative that the true mear oxygen content is u = 4.75 mg/l is 0.57. (a) Explain in simple language what "power = 0.57" means. %3D (b) If we decide to collect water from more than 45 locations but change nothir else in this study, does the power increase or decrease? (c) If we decide to use a = 0.10 instead of a = 0.05 but change nothing else, de the power increase or decrease? | GLLOL (d) If we shift our interest to the alternative u =4.5 mg/l but change noth else, does the power increase or decrease? 15.17 Power and error probabilities. Consider two distinct situations. (a) A statistical test at significance level a = 0.05 has power 0.78 What are
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