Statistics: The Art and Science of Learning from Data (4th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 15, Problem 33CP

True or false For a one-sided significance test comparing two means with small samples from highly skewed population distributions, it’s safer to use a t test than a Wilcoxon test. This is because the Wilcoxon test assumes normal population distributions and is not robust if that assumption is violated.

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4. Find a 95% confidence interval for the difference of two means when you have independent samples, both of size 36, from two populations, in which the variances are not known to be equal. In this case, nị=36, s1²=6.1, the first sample mean is equal to 7.9; n2 =36, s2?=10.4, the second sample mean is equal to 9.1 Interpret the interval once you find it. Namely, can you conclude one mean is greater than the other mean and if so, which one?
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HR department wants to make sure that their hiring practices are independent of gender. In other words, they want to ensure that both men and women have an equal chance of being hired. The observed data related to this survey is summarized in the following table:   Observed frequency     Male Female Total Hired 45 35   Not Hired 32 28   Total         Given Ho = “HR department hired male and female employees equally”, decide whether to reject or fail to reject the null hypothesis (α = 0.05).
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