By measuring the amount of time it takes a component of aproduct to move from on

Question

By measuring the amount of time it takes a component of aproduct to move from one workstation to the next, an engineer hasestimated that the standard deviation is 2.6 seconds. a) how many measurements should be made in order to be 95%certain that the maximum error of estimation will not exceed 0.5seconds? b) what sample size is required for maximum error of 1second? Show all work. By measuring the amount of time it takes a component of aproduct to move from one workstation to the next, an engineer hasestimated that the standard deviation is 2.6 seconds. a) how many measurements should be made in order to be 95%certain that the maximum error of estimation will not exceed 0.5seconds? b) what sample size is required for maximum error of 1second? Show all work.

Explanation / Answer

Given S=2.6 (a)how many measurements should be made in order to be 95% certainthat the maximum error of estimation will not exceed 0.5seconds? Given =0.05, Z(0.025)=1.96 (check normaltable) E=0.5 n=(Z*S/E)^2 = (1.96*2.6/0.5)^2 =103.8769 Take n=104 (b)what sample size is required for maximum error of 1 second? Given E=1 n=(1.96*2.6/1)^2=25.96922 Take n=26

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