Find the Value of a Normal Random Variable

question 16

Multiple Choice

Find the Value of a Normal Random Variable
-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 12.15 ounces and a standard deviation of 0.04 ounce. 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 the fill amounts poured by this machine. For what fill amount are they searching

• A) 12.237 oz
• B) 11.913 oz
• C) 12.063 oz
• D) 12.087 oz

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Definitions:

Type I Error

The statistical mistake of rejecting a true null hypothesis, also known as a "false positive" finding in hypothesis testing.

Genetic Mutation

A permanent alteration in the DNA sequence that makes up a gene, resulting in a variation that may affect an organism's traits.

Male Fireflies

The male members of the firefly species, known for their bioluminescence used in mating displays to attract female fireflies.

Power

In statistics, the probability of correctly rejecting the null hypothesis when it is false.