Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It

Question

Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.36 ounces and a standard deviation of .04 ounces. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of te fill amounts poured by this machine. For what fill amount are they searching? Round to the nearest thousandth. (A) 12.087 (B) 12.273 (C) 12.447 (D) 11.913

Explanation / Answer

Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.36 ounces and a standard deviation of .04 ounces. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of te fill amounts poured by this machine. For what fill amount are they searching? Round to the nearest thousandth.

(A) 12.087

(B) 12.273

(C) 12.447

(D) 11.913

Z value for top 1.5% =2.17

X =12.36+2.17*0.04

=12.4468

=12.447 ( three decimals)

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