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Suppose a quality control specialist wants to use the mean of a random sample si

ID: 3228444 • Letter: S

Question

Suppose a quality control specialist wants to use the mean of a random sample size n = 35 to determine the average fat content of a large shipment of hamburgers. The value of sigma = .25 oz. What can he assert with 95% confidence about the maximum size of his error? Now use the above information to create a confidence interval for mu. Suppose your sample mean in the above experiment is 3 oz. of fat per burger. With 95% confidence, what can you say about the upper and lower bound of a confidence interval for the population mean?

Explanation / Answer

1)here std error of mean =std deviation/(n)1/2 =0.0423

for 95% CI, z=1.96

hence maximum error =margin of error =z*std error =0.0828

2)confidence interval =sample mean -/+ margin of error =2.9172 ; 3.0828

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