Boeing has a contract with an outside company, Opus EnterpriseInc., to supply ri
ID: 2954919 • Letter: B
Question
Boeing has a contract with an outside company, Opus EnterpriseInc., to supply rivets. These rivets are used to fasten the wingsto the fuselage (body) of the plane, etc. The contractspecifications require the rivets to have an average diameterof 1.48 cm an allowable error ±0.150 cm. The true proportionoutside the error is 5%. The sample size (taken from a shipment of200,000 rivets to calculate a 98%confidence interval for thepopulation mean) is 50. 1.189 1.364 1.104 1.42 1.514 1.92 1.21 2.29 0.757 0.929 1.47 1.723 1.624 1.416 1.713 1.384 1.16 1.555 1.583 1.461 1.449 1.293 1.741 1.113 1.115 1.52 1.101 1.237 1.207 1.206 1.205 1.649 1.654 1.729 1.163 1.4 1.743 1.434 1.192 1.173 1.483 1.322 1.134 1.273 1.201 1.305 1.278 1.717 1.565 1.567 (The numbers read going across, left to right) A) Using the information above, calculate a 98% confidenceinterval for the population mean, the averagediameter of the rivets. (Don't forget to determine the sample meanand sample standard deviation) B) Using the information above, calculate a 98% confidenceinterval for the population proportion of therivets outside the allowable error. C) Based upon the contract's specifications for the rivets,does Boeing accept or reject the shipment of 200,000 rivets fromOpus Enterprise, Inc.? Comment on whether the contractspecifications were satisfied by the confidence intervals youfound. Boeing has a contract with an outside company, Opus EnterpriseInc., to supply rivets. These rivets are used to fasten the wingsto the fuselage (body) of the plane, etc. The contractspecifications require the rivets to have an average diameterof 1.48 cm an allowable error ±0.150 cm. The true proportionoutside the error is 5%. The sample size (taken from a shipment of200,000 rivets to calculate a 98%confidence interval for thepopulation mean) is 50. 1.189 1.364 1.104 1.42 1.514 1.92 1.21 2.29 0.757 0.929 1.47 1.723 1.624 1.416 1.713 1.384 1.16 1.555 1.583 1.461 1.449 1.293 1.741 1.113 1.115 1.52 1.101 1.237 1.207 1.206 1.205 1.649 1.654 1.729 1.163 1.4 1.743 1.434 1.192 1.173 1.483 1.322 1.134 1.273 1.201 1.305 1.278 1.717 1.565 1.567 (The numbers read going across, left to right) A) Using the information above, calculate a 98% confidenceinterval for the population mean, the averagediameter of the rivets. (Don't forget to determine the sample meanand sample standard deviation) B) Using the information above, calculate a 98% confidenceinterval for the population proportion of therivets outside the allowable error. C) Based upon the contract's specifications for the rivets,does Boeing accept or reject the shipment of 200,000 rivets fromOpus Enterprise, Inc.? Comment on whether the contractspecifications were satisfied by the confidence intervals youfound.Explanation / Answer
Given n=50, xbar=1.4, s=0.27 (based on the data) =0.02, Z(0.01)=2.326 (check normal table) The 98% CI is xbar ± Z*s/n --> 1.4 ± 2.326*0.27/sqrt(50) --> (1.31, 1.49)