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lana [24]
3 years ago
6

NewPop produces their brand of soda drinks in a factory where they claim that the

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

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