3. The manager of a t and sells 1 ounce jars of caviar (at $300 per ounce) has j

Question

3. The manager of a t and sells 1 ounce jars of caviar (at $300 per ounce) has just recelved the following quality control report on the welghts from a sample of 30 packages Welghts of Jars of Caviar Weight Class (Upper Limit) Frequency Relative 1.13 1.15 17 0.09 0.07 0.23 0.10 0 13 0.27 0.13 0.07 Mode Standard 1.05 1.1 1.15 1.2 1.25 1.3 Skewness 0.20 0.29 0.98 1.27 32.66 Maximu Sum Count 30 a. Using all of the descriptive statistics provided in the Excel output above, describe what is happening in the packaging process. (15 points) b. From a business perspective, what concerns would you raise with management as a result of your analysis? (5 points)

Explanation / Answer

ANSWER:

a. On the basis of descriptive statistics, we can see that the distribution of weights of Jars of Caviar is left-skewed that means not normal. Thus, the packaging process is not normal. The mean weight is 1.13 ounce which is expected to be 1 ounce, therefore, it is larger than the expected. Half of the Jars have a weight less than 1.15 ounce and half of the Jars weighs more than 1.15 ounces, also the amount of weight which is mostly packaged is 1.17. The maximum amount that is packed was 1.27 ounces that means there is at least one package having weight 1.27 ounces. The standard deviation is quite high for the weights, it means that on an average the weights are 0.09 far from the mean.

b. Since the packaging process is not normal hence the food-processing company is going into loss thus they should check the process and figure out the ways to reduce the variation in weights of Jars of Caviar.

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