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The liquid volume packaged in a bottle of A-brand orange juice follows a normal distribution, with a mean=μ ml and stand

Posted: Tue Apr 26, 2022 6:18 pm
by answerhappygod
The liquid volume packaged in a bottle of A-brand orange juice
follows a normal distribution, with a mean=μ ml and standard
deviation of 5 ml. We take a sample of bottles and measure their
volumes. How many bottles do we have to sample so that we are 90%
confident that the measured mean is within ± 0.5 ml of the true
mean?
Round the result to the nearest integer.
Note that from the z-distribution table, we know:
P(Z<= -1.645) = 5%
P(Z<= -1.96) = 2.5%
P(Z<= -1.28) = 10%