Probability and Statistics

The problem of potato chip bag weight is a one tailed test. The complainant is unsure that the mean weight of a bag of potato chips is 12 ounces. The complainant wants to be 95% confident that the potato chip bags are really less than the 12 ounce that the potato chip company suggests before filing the complaint. The key word is the at least 12 ounces. At least 12 ounces means that the potato chip bags should be greater than or equal to 12 ounces otherwise a complaint will be filed.

B. Null hypothesis: The mean weight of potato chip bags is greater than or equal to 12 ounces. M ? 12 ounces. Alternative hypothesis: The mean weight of potato chip bags is less than 12 ounces. M < 12 ounces. C. 1. A type I error is the scenario where in one rejects a null hypothesis that is true. Type I error probability is represented by the symbol (a) alpha or known as the significance level. The significance level is the probability that a type I error will occur.

Thus, if one rejects a null hypothesis that is true, the probability related to the false claim is the alpha value (Lane, 2003). 2. The type I error in the problem is when the complainant rejects the null hypothesis that the potato chip bags are equal to 12 ounces when in fact it is true. The type I error probability would be equal to (a) alpha which is 0. 05. Thus, the complainant will commit a type I error with a probability 0. 05 (Lane, 2003).

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