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StatisticsProbability and Statistics for Engineering and the SciencesSuppose the amount of liquid dispensed by a certain machine is uniformly distributed with lower limit A = 8 oz and upper limit B = 10 oz. Describe how you would carry out simulation experiments to compare the sampling distribution of the (sample) fourth spread for sample sizes n = 5, 10, 20, and 30.BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 5.3, Problem 43E

Textbook Problem

Suppose the amount of liquid dispensed by a certain machine is uniformly distributed with lower limit *A* = 8 oz and upper limit *B* = 10 oz. Describe how you would carry out simulation experiments to compare the sampling distribution of the (sample) fourth spread for sample sizes *n* = 5, 10, 20, and 30.

Expert Solution

To determine

Describe the procedure to carry out the simulation experiments in order to compare the sampling distribution of the sample fourth spread for sample sizes

**Given info:**

The amount of liquid dispensed by a machine has a uniform distribution with lower limit

**Calculation:**

*Fourth spread:*

The fourth spread is a measure of spread in a data, which is resistant to the presence of outliers and is given by

Let *X* be the amount of liquid (oz) dispensed by a machine. Here, *X* has a uniform distribution with lower limit

Thus, the pdf of *X* is:

Probability and Statistics for Engineering and the Sciences

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