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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Section I: Multiple Choice Select the best answer for each question. A machine is

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QUESTION:

Section I: Multiple Choice Select the best answer for each question. A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bottles follows a Normal distribution with mean 16.05 ounces and standard deviation 0.1 ounce. Assume that the machine is working properly. If four bottles are randomly selected and the number of ounces in each bottle is measured, then there is about a 95% chance that the sample mean will fall in which of the following intervals? (a) 16.05 to 16.15 ounces (d) 15.90 to 16.20 ounces (b) 16.00 to 16.10 ounces (e) 15.85 to 16.25 ounces (c) 15.95 to 16.15 ounces

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QUESTION:

Section I: Multiple Choice Select the best answer for each question. A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bottles follows a Normal distribution with mean 16.05 ounces and standard deviation 0.1 ounce. Assume that the machine is working properly. If four bottles are randomly selected and the number of ounces in each bottle is measured, then there is about a 95% chance that the sample mean will fall in which of the following intervals? (a) 16.05 to 16.15 ounces (d) 15.90 to 16.20 ounces (b) 16.00 to 16.10 ounces (e) 15.85 to 16.25 ounces (c) 15.95 to 16.15 ounces

ANSWER:

Step 1 of 2

Given:

The amount poured into the bottles follows a normal distribution.

The mean value is  16.05 ounces.

The standard deviation is  0.1 ounce.

The sample number of bottles selected is .

 

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