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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Pressing pills A drug manufacturer forms tablets by compressing a granular material that

Chapter 9, Problem 77

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QUESTION:

Pressing pills A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for the hardness is m = 11.5. The hardness data for a random sample of 20 tablets are 11.627 11.613 11.493 11.602 11.360 11.374 11.592 11.458 11.552 11.463 11.383 11.715 11.485 11.509 11.429 11.477 11.570 11.623 11.472 11.531 Is there convincing evidence at the 5% level that the mean hardness of the tablets differs from the target value?

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QUESTION:

Pressing pills A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for the hardness is m = 11.5. The hardness data for a random sample of 20 tablets are 11.627 11.613 11.493 11.602 11.360 11.374 11.592 11.458 11.552 11.463 11.383 11.715 11.485 11.509 11.429 11.477 11.570 11.623 11.472 11.531 Is there convincing evidence at the 5% level that the mean hardness of the tablets differs from the target value?

ANSWER:

Step 1 of 3

Given that,

A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for the hardness is  = 11.5. The hardness data for a random sample of n = 20 tablets are

11.627 11.613 11.493 11.602 11.360

11.374 11.592 11.458 11.552 11.463

11.383 11.715 11.485 11.509 11.429

11.477 11.570 11.623 11.472 11.531

Level of significance = 5%

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