Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Section 10.3 - Assess Your Understanding - Applying the Concepts - Page 503: 16

Answer

We reject the null hypothesis. Thus we have sufficient evidence to believe that the kidney weight of the offspring whose parents were exposed to 50 mg/L of para-nonylphenol in drinking water for 4 weeks is greater than the normal weight.

Work Step by Step

Here we have $H_{o}$: μ = 355.7 mg, $H_{a}$: μ > 355.7 mg, n = 12, x̅ = 396.9, s = 45.4 and α = 0.05 Using the classical approach: Using Table VI, we have: t = 1.796 $σ_{ x̅} = \frac{s}{\sqrt n} = \frac{45.4}{\sqrt 12} = 13.106$ $t = \frac{396.9 - 355.7}{2.1} = 3.14$ Since, 3.14 > 1.796, we will reject the Null hypothesis.
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