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A manufacturer of chocolate topping uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses toppings is

A manufacturer of chocolate topping uses machines to dispense liquid

ingredients into bottles that move along a filling line. The machine that

dispenses toppings is working properly when 8 grams are dispensed. The

standard deviation of the process is 0.15 gram. A sample of 50 bottles is

selected periodically and the filling line is stopped if there is evidence

that the average amount dispensed is actually less than 8 grams. Suppose

that the average amount dispensed in a particular sample of 50 bottles is

7.983 grams.

At the 0.05 level of significance, using the critical value approach to

hypothesis testing, is there evidence that the average amount dispensed

is less than 8 grams?

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