a state meat inspector in lowa has been A state meat inspector in lowa has been

Question

a state meat inspector in lowa has been A state meat inspector in lowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled "3" pounds. "Of course, he realizes that the weights cannot be precisely 3 pounds. A sample of 36 packages reveals the mean weight to be 3.01 pounds, with a standard deviation of 0.03 pound. a. What is the estimated population mean? Estimated population mean b. Determine a 95% confidence interval for the population mean. Confidence interval is between and

Explanation / Answer

Sola:

estimated populatin mean is sample mean=3.01 pounds

Solutionb:

sample mean=3.01

sample sd=0.03

n=36

n>30 ,given sample is large sample

use z distribution

95% confodence interval for population mean is given by

sample mean-zcrit*sample sd/sqrt(n),sample mean+zcrit*sample sd/sqrt(n)

z crit for 95%=1.96

therfore

3.01-1.96*0.03/sqrt(36),3.01+1.96*0.03/sqrt(36)

3.0002,3.0198

3.000,3.019

We are 95% confident that the true population mean lies in between

3.000 and 3.019

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