A sample of 10 packs of a brand of chewing gum was taken. Each pack was weighed and their weights, in grams, are shown. 43 point 0 , 43 point 7 , 49 point 6 , 46 point 9 , 47 point 6 , 45 point 4 , 51 point 2 , 48 point 0 , 40 point 5 , 49 point 1 What is the z -score for the pack of gum weighing 43 grams?
The mean weight is 46.5 grams. The sample standard deviation is about 3.32 grams, so the z-score for 43 grams is (43 − 46.5) ÷ 3.32 ≈ −1.05. Therefore, the correct choice is negative 1.05.
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