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Chapter 7: Q. 7.4 (page 405)

Cans of a cola beverage claim to contain 16 ounces. The amounts in a sample are measured and the statistics are n=34,x炉=16.01ounces. If the cans are filled so that 渭=16.00ounces (as labeled) and 蟽=0.143ounces, find the probability that a sample of 34 cans will have an average amount greater than 16.01ounces. Do the results suggest that cans are filled with an amount greater than 16 ounces?

Short Answer

Expert verified

P(X炉>16.01)=0.3417

The likelihood of the cola can having a volume greater than 16 ounces is 34.17%.

Step by step solution

01

Given information

Given :

The value of Mean is 16ounces

The value of Standard deviation is 0.134ounces

n=34

Formula used:

X炉~N渭x,axn

02

Determine the likelihood that an average amount more than 16.01 ounces will be found in a sample of 34 cans.

Consider

X炉~N16,0.13434P(X>16.01)=normalcdf16.01,1E99,16,0.13434P(X炉>16.01)=0.3417

The likelihood of the cola can having a volume greater than 16 ounces is 34.17%.

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