4:00 PM oooo T-Mobile Engineering Probability and Class (circle one) Morning Noo

Question

4:00 PM oooo T-Mobile Engineering Probability and Class (circle one) Morning Noon Quiz 10 Instructor: Collaborative Quiz engineer at Acme Parts supply,anoklahoma company that manufactures 1. You are an specialty machine parts. Recently, your company began manufacturingahigh strength composite support mod usingahetly efficient and cost effective manufacturing process, The breaking stress of 750ONrmm. Arandom sample of 35 rods rods are intended to have a mean breaking stress 742 Nmm with a standard deviation of 250Nmm. Your had a mean department beleves that this newmanufacturing process is producing nods with a mean lower than its rated value. a) State an appropriate null and alternative hypothesis that will allow youto show that the actual breaking stress of the rods is below its rated value. m bl Find the p-value. Use the pvalue to determine whether your claim the mean breaking stressisbelow its that

Explanation / Answer

here null hypothesis: Ho: mean =750

and alternate hypothesis: mean <750

std error =std deviation/(n)1/2 =4.2258

hence test stat t=(X-mean)/std errior =(742-750)/4.2258=-1.8931

for above at 34 degree of freedom ; p value =0.0334

as p vlaue is less then 0.05 level we can reject that mean is 750 and can conclude that mean has fallen below 750.

2) here test stat t =(745-750)/4.2258 =-1.1832

for above at 34 degree of freedom ; p value =0.1225

as p vlaue is less then 0.05 level we can not reject that mean is 750 .

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