## Statistics (12th Edition)

Published by Pearson

# Chapter 8 - Inferences Based on a Single Sample - Exercises 8.20 - 8.37 - Learning the Mechanics - Page 364: 8.23a

#### Answer

Reject $H_{o}$ at α = 0.05 Sample mean is greater than 100.

#### Work Step by Step

$z = \frac{x̅ - µ}{σ/\sqrt n} = \frac{110 - 100}{60/\sqrt 100}$ z = 1.67 Since z > 1.645, reject $H_{o}$ at α = 0.05 From this we conclude that sample mean is greater than 100.

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