Pg. 525 #13: A milk processor monitors the number of bacteria per milliliter in raw milk received at the factory. A random sample of 10 one-milliliter.

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Pg. 525 #13: A milk processor monitors the number of bacteria per milliliter in raw milk received at the factory. A random sample of 10 one-milliliter specimens of milk supplied by one producer gives the following data: Construct and interpret a 90% confidence interval for the population mean μ.

Random: The data come from a random sample. Normal: The graph indicates that there is no strong skewness or outliers. Independent: We have data from less than 10% of possible samples of milk received at the factory. The conditions are met.

We compute from the data that and s = 268 We compute from the data that and s = 268.5, and we have a sample of n = 10 observations. This means that we have 9 df and t* = 1.833. We are 90% confident that the interval from 4794.4 to 5105.6 bacteria/ml captures the true mean number of bacteria in the milk received at this factory.