A company is producing a candy bar with an average weight of 58 grams and a standard deviation of 2 grams. To pass inspection and be boxed to sell, the company has stated that the weight of an individual bar must fall within the middle 99.7% of all the candy bar weights.
Assuming the weights are normally distributed and with the mean in the middle, plot a line segment that represents the range of weights that will pass inspection.
Not sure of this....(edited after I thought about it for a while longer)
Using a Z-score table .15% from 100% = 99.85%
99.85% represents 2.96 S.D. from the mean
so +- 2.96 S.D. represents the 'middle 99.7% of all candy bar weights'
2.96 S.D. x 2 gm/S.D. = 5.92 gm
SO acceptable weights would be 58 +- 5.92 gm = 52.08--------63.92 gm acceptable weights