Aprocessor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. twenty packages are inserted in a box for shipment. each box of carrots should weigh 20.4 pounds. the processor knows that the standard deviation of box weight is 0.5 pound. the processor wants to know if the current packing process meets the 20.4 weight standard. how many boxes must the processor sample to be 95% confident that the estimate of the population mean is within 0.2 pound?

24 boxes

Step-by-step explanation:

The processor knows that the standard deviation of box weight is 0.5 pound

We are supposed to find How many boxes must the processor sample to be 95% confident that the estimate of the population mean is within 0.2 pound

Formula of Error=

Since we are given that The estimate of the population mean is within 0.2 pound

So,

z at 95% confidence level is 1.96

Hence the processor must sample 24 boxes to be 95% confident that the estimate of the population mean is within 0.2 pound

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

part a: 1.08

part b: 27.59