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Problem 1. 5 pts] Confidence levels what is the confidence level (in %), if the

ID: 3050371 • Letter: P

Question

Problem 1. 5 pts] Confidence levels what is the confidence level (in %), if the following expression is given as the measure of testing a normal population? a. b, what is the confidence level (in%) if the following expression is given as the measure of testing a population, whose variance is unknown and sample number is 11? f +2.81 s/vn what is the confidence level (in%) if the following expression is given as the measure of testing a population, which is normal and variance is known, and sample number is 11? c,

Explanation / Answer

a) P(Z > 2.81) = 0.0025

Confidence level = 100 - 0.0025*100 * 2 = 99.5%

b) Since variance is unknown, this is t distribution

P(t > 2.81) = 0.0092

Confidence level = 100 - 0.0092*100 * 2 = 98.16%

c) P(Z > 2.81) = 0.0025

Confidence level = 100 - 0.0025*100 * 2 = 99.5%

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