Math Problem Statement

A company tracks the time it takes for its employees to complete a data task. The completion times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes. Fill the chart with the following information: Class, Boundaries, Midpoint, Total Area (proportion of the data within that class), Accumulated Proportion (cumulative percentage up to that class).

Solution

The image contains a table that needs to be filled out based on the information provided in a problem. Here's the text description:


Problem Statement: A company tracks the time it takes for its employees to complete a data task. The completion times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes. Fill the chart with the following information:

  • Class
  • Boundaries
  • Midpoint
  • Total Area (proportion of the data within that class)
  • Accumulated Proportion (cumulative percentage up to that class)

I can help guide you through filling in the table based on a normal distribution. However, I would need additional clarification about the "Class" values. Are you expected to provide specific ranges for the completion times, such as intervals around the mean?

Let me know how you'd like to proceed, and if you'd like help constructing the distribution or calculating each row!

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Math Problem Analysis

Mathematical Concepts

Normal Distribution
Statistics
Probability

Formulas

Z = (X - μ) / σ
Total Area under normal distribution curve

Theorems

68-95-99.7 Rule

Suitable Grade Level

Grades 10-12