Prob-9 er cells paper that is supposed to have a weight of 75.Ogmi In a qualiny

Question

Prob-9 er cells paper that is supposed to have a weight of 75.Ogmi In a qualiny inspectionm, the weights of the20 are measured. The sample mean of these weights is x-74.23pm spes of pape with a sample standard deviation ofs-205 ema "Can we beoonfident with 99 % confidence level that paper has an average weight of 75 Ans Justify your answer! Prob-10 Hospital workers who are routinely involved administrative radicactive tracer to patients are subject to a radiation exposure emacating from akin of the patint. In an experiment to asses the amount of is, radiation levels were measured at a distance of 50 cm from -28 patients who had been injected with a radioactive tracer, and a sample mean of 5.145 and sample std s- 0.7524 are obtained Can we be 99% confident th-the averige nition level at a 50 et distan e tom patient ?s no more than ab 557 Ans Sel: Prob-11 When it is opennting properly, a chemical plaet has a daily production rate that is pomally. dstribd with a mean of 885 tons/day and a standard deviation of 42 tons/day. During an analysis of period the output is measured with randoem sampling on 60 coesecutive drys, and the meun output is tober87 5 toneday. The manager clams that "le. 195 % prohahility datte plant ?s operat ng properly bherigheJustify yo rann er! Ans Sol: Prob-12 pressure 300 kPa into units of millinsion ofmersary and mesn.s entis Use specific gravity of Hg as Su 136, and g-10m/ Ans Ans: Sol Soli Prob-13 A digital-output pressare-measuring system has the following specifications: Range 0 to 3000 kPa 1.0% : 2 kPa Resolutiorn Temperature stability Specify the types 3kPa(O to S0 C) of these errors and calculate the uncertainty of pressure measurement with this transducer. Ans Sol:

Explanation / Answer

Solution9:

sample mean=x bar=74.23

sample sd=s=2.05

n=sample size=29

conf.level=0.99

99% confidence interval for mean is

xbar-tcrit*s/sqrt(n),xbar+tcrit*s/sqrt(n)

t crit for n-1=29-1=28 df is

t crit=2.763

99% confidence interval for mean is

74.23-2.763*2.05/sqrt(29),74.23+2.763*2.05/sqrt(29)

73.178,75.282

lower limit=73.178

upper limit=75.282

the confidence interval range contains 75

73.178<75<75.282

ANSWER:YES

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