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%
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The liquid volume packaged in a bottle of A-brand orange juice follows a normal distribution, with a mean=u 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% Answer:
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