The Weight of a Product Is Normally Distributed with a Mean

question 92

Multiple Choice

The weight of a product is normally distributed with a mean of four ounces and a variance of .25 "squared ounces." What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces?

• A).0228
• B).9772
• C)0.000
• D)1.00

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Definitions:

Population Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of values in a population.

Sampling Distribution

The statistical distribution that represents the probability of various outcomes, originating from a vast number of samples from a targeted population.

Standard Deviation

The square root of the variance showing how much individual data points differ from the mean.

Central Limit Theorem

A statistical principle stating that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population's distribution.