The Makers of Sweet-Things Candy Sell Their Candy by the Box

question 7

Multiple Choice

The makers of Sweet-Things candy sell their candy by the box. Based on company policy, the mean target weight of all boxes is 2.0 pounds. To make sure that they are not putting too much in the boxes, the manager wants no more than 3 percent of all boxes to contain more than 2.10 pounds of candy. In order to do this, what should the mean fill weight be set to if the fill standard deviation is 0.13 pounds? Assume that the box weights are normally distributed.

• A) Just over 2 pounds
• B) Approximately 2.33 pounds
• C) Nearly 1.27 pounds
• D) Approximately 1.86 pounds

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Definitions:

Standard Deviation

An indicator of the degree of difference or spread among a collection of numbers.

Confidence Interval

A continuum of values, originating from sample-derived statistics, that is considered likely to embrace the value of a mysterious population parameter.

Breaking Strength

The amount of stress or force required to break a material, often measured in pounds or kilograms.

Confidence Level

Confidence level represents the probability that an interval estimate will include the true population parameter, often expressed as a percentage.