The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 20 - Inference about a Population Mean - Chapter 20 Exercises - Page 481: 20.46a

Answer

Here we have n = 16, x̅ = 56.3, s = 77.3 $H_{o}: μ = 130$ $H_{a}: μ > 130$ $s_{x̅} = \frac{77.3}{\sqrt 16} = -3.81$ $t = \frac{56.3 - 130}{19.325} = 2.913$ Using technology, we have p = 0.999 at 95% confidence level. Since P > 0.05, we will fail to reject the Null Hypothesis. Hence we do not have sufficient evidence that on average the E. coli levels in these swimming areas were unsafe.

Work Step by Step

As above
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