Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 9 - Section 9.2 - Assess Your Understanding - Applying the Concepts - Page 450: 35c

Answer

We are 95% confident that the mean price of a 4 GB flash memory card is between $\$13.707$ and $\$17.057$.

Work Step by Step

Here we have n = 10, df = n-1 = 9, x̅ = 15.382 and s = 2.34 Confidence = 95% α = 1 - 0.95 = 0.05, α/2 = 0.025, $t_{α/2} = 2.262$ $E = 2.262 \times \frac{2.34}{\sqrt 10} = 1.675 $ Lower Bound = x̅ - E = 15.382 - 1.675 = 13.707 Upper Bound = x̅ + E = 15.382 + 1.675 = 17.057
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