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1. The variation of a sampling distribution is tighter than the variation of the underlying process distribution.
A) TrueB) False
2. The sampling distribution can be assumed to be approximately normal even when the underlying process distribution is not normally distributed.
3. The Good Chocolate Company makes a variety of chocolate candies, including a 12-ounce chocolate bar (340 grams). The output of the machine that fills the bar molds is approximately normal with a mean of 340 grams and a standard deviation of 1.5 grams. If the specifications for the 12-ounce chocolate bar are 332 grams to 348 grams, what is the process capability index?
A) 1.78B) 0.56C) 0.90D) 2.22
4. The Good Chocolate Company makes a variety of chocolate candies, including a 12-ounce chocolate bar (340 grams). The output of the machine that fills the bar molds is approximately normal with a mean of 340 grams. The company considers a process or machine capable if the capability index is at least 1.33. Given that specifications for the 12-ounce chocolate bar are 332 grams to 348 grams, what is the largest standard deviation (in grams) that the machine can have and still be considered capable?
A) 1.555B) 2.005C) 1.505D) 2.955
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