Solve the Problem

question 2

Multiple Choice

Solve the problem. Round to the nearest tenth unless indicated otherwise.
-Suppose that replacement times for washing machines are normally distributed with a mean of 8.4 years and a standard deviation of 2 years. Find the replacement time that separates the top 18% from the bottom 82%.

• A) 6.6 years
• B) 9.7 years
• C) 8.8 years
• D) 10.2 years

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Definitions:

Histogram

A graphical representation of the distribution of numerical data, where the data is grouped into bins and the frequency of data points within each bin is depicted by the height of the bar.

Intervals

Ranges or spans between two values, often used in contexts of measurement, time, or statistical analysis.

Overlap

The extent to which two or more things cover the same area or share common elements.

Frequency Distribution

A statistical analysis that shows how often each different value in a set of data occurs.