Question

Asked Oct 12, 2019

A certain delivery truck carries loads that follow a normal distribution with an average weight of 3500 pounds and a standard deviation of 700 pounds. For the following, show your graph and calculator commands.

- What load weight represents the top 30% of loads?
- What proportion of loads are less than 3000 pounds?
- What two load weights hold the middle 80% of loads?
- Find the 90
^{th}percentile of load weights. - If a load is more than 6000 pounds, it is considered unsafe. What proportion of loads were unsafe? Using probability, would it be unusual for the delivery truck to carry an unsafe load?

Step 1

**Note:**

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Step 2

**Calculation:**

The questions have been solved using the Excel Add-In, MegaStat. To activate the MegaStat add-in, first perform the following steps:

- Open an Excel sheet.
- Click File > Options.
- Choose the option Add-Ins.
- From the list of inactive Add-Ins, select MegaStat.
- From the list for Manage, select Excel Add-Ins and click on Go.
- Click on the box for MegaStat and click OK.

The MegaStat option will be available under Add-Ins.

Step 3

**Part 1:**

In the Excel sheet, go to Add-Ins > MegaStat.

The load weight that represents the top 30% of loads is **3,867.1 pounds**, shown in the graph below.

The first ...

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