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 449: 30c

Answer

We are 95% confident that the mean amount of time Americans age 15 or older spend eating and drinking each day is between 1.18 and 1.26 hours.

Work Step by Step

Here we have n = 1001, df = n-1 = 1000, x̅ = 1.22 and s = 0.65 Confidence = 95% α = 1 - 0.95 = 0.05, α/2 = 0.025, $t_{α/2} = 1.962$ $E = 1.962 \times \frac{0.65}{\sqrt 1001} = 0.04 $ Lower Bound = x̅ - E = 1.22 - 0.04 = 1.18 Upper Bound = x̅ + E = 1.22 + 0.04= 1.26
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