Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 7 - Section 7.2 - Assess Your Understanding - Applying the Concepts - Page 379: 49a

Answer

The 30th percentile for the number of chocolate chips in an 18-ounce bag of Chips Ahoy is 1201 chips.

Work Step by Step

$\mu$ =1262, $\sigma$ = 118 i ) z- score corresponding to an area of 0.30 ii) Sub $\sigma = 118 , \mu= 1262, z = -0.52$ into z = $\frac{x - \mu}{\sigma}$ and solve for x: z = $\frac{x - \mu}{\sigma}$ $x$ = $\mu$ + $z\sigma$ $x$ = $1262 + (-0.52 \times 118)$ $x$ = $1200.64$ $x$ $\approx$ 1201
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