Answer: the weight of the package of crackers is 323.2 grams
Explanation:
Since the weights of packages of crackers are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = weights of packages of crackers.
µ = mean weight
σ = standard deviation
From the information given,
µ = 340 grams
σ = 12 grams
The z score of the package is - 1.4
Therefore,
- 1.4 = (x - 340)/12
Cross multiplying by 12, it becomes
- 1.4 × 12 = x - 340
- 16.8 = x - 340
x = - 16.8 + 340
x = 323.2 grams