Question: A variety of packaging solutions exist for products that must be kept within a specific temperature range. A cold chain distribution is a temperature-controlled supply chain. An unbroken cold chain is an uninterrupted series of storage and distribution activities that maintain a given temperature range. Cold chains are particularly useful in the food and pharmaceutical industries. A common suggested temperature range for a cold chain distribution in pharmaceutical industries is between 2 and 8 degrees Celsius. Gopal Vasudeva works in the packaging branch of Merck & Co. He is in charge of analyzing a new package that the company has developed. With repeated trials, Gopal has determined that the mean temperature that this package is able to maintain during its use is 5.6°C with a standard deviation of 1.2°C. He is not sure if the distribution of temperature is symmetric or skewed to the right.
In a report, use the sample information to:
1. Calculate the probability that temperature goes
(a) below 2°C and
(b) above 8°C using a normal distribution approximation.
2. Calculate the probability that temperature goes
(a) below 2°C and
(b) above 8°C using a lognormal distribution approximation.
3. Compare the results from the two distributions used in the analysis.