In fiscal 1996, the U.S. Agency for International Development provided 238,300 metric tons of corn soy blend (CSB) for development programs and emergency relief in countries throughout the world. CSB is a highly nutritious, low-cost fortified food that is partially cooked and can be incorporated into different food preparations by the recipients.
The specifications for the CSB state that the mixture should contain 2 pounds of vitamin premix for every 200 pounds of product. These specifications are designed to produce a mean vitamin C content in the final product of 40mg per 100g. A sample of 8 readings from a production run has a mean of 22.50mg per 100g with a standard deviation of 7.19mg per gram.
Is there significant evidence that this production run does not meet the specifications? Use a 1% level of significance.
1. State the Null Hypothesis and the Alternative Hypothesis
2. Determine the test statistic.
3. Determine the P-value
4. Make a decision regarding the hypotheses based on the P-value and the Level of Significance.
The solution details the step by step method for computing Z test statistic for comparing population mean with an excel spreadsheet of calculations to aid understanding.