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permix for every 2000 pounds of product. These specifications are designed to produce a mean ( ï ) vitamin C content in the final product of 40mg/100g. We can test a null hypothesis that the mean vitamin C content of the production run conforms to these specifications. Specifically, we test H 0 : ï ï½ 40 H a : ï ï¹ 40 Recall that n ï½ 8 , x ï½ 22.50 , and s ï½ 7.19 . The t test statistics is x ï ï 0 22.5 ï 40 tï½ ï½ ï½ ï6.88 s n 7.2 8 Because the degrees of freedom are n-1=7, this t statistic has the t(7) distribution. Figure. The P-value for Example.
