Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 8 - Section 8.1 - Assess Your Understanding - Applying the Concepts - Page 412: 29b

Answer

$μ_ {x̅}= 2.35$ $σ_{x̅} = 0.305$

Work Step by Step

According to the Central Limit Theorem, if the sample size is $n \geq 30$, we can assume a normal distribution. Here, n = 40. Hence, the distribution is approximately normal. $μ_ {x̅}= μ = 2.35$ $σ_{x̅} = \frac{σ}{n} = \frac{1.93 }{\sqrt 40} = 0.305$
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