Mind on Statistics
Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
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Chapter 1, Problem 1.24E
To determine

(a)

To find:

The five-number summary for the women's responses.

To determine

(b)

To explain:

The five number summary for the men's responses.

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The table below was compiled for a middle school from the 2003 English/Language Arts PACT exam.   Grade   6 7 8 Below Basic 60 62 76 Basic 87 134 140 Proficient 87 102 100 Advanced 42 24 21   Partition the likelihood ratio test statistic into 6 independent 1 df components. What conclusions can you draw from these components?
What is the value of the maximum likelihood estimate, θ, of θ based on these data? Justify your answer. What does the value of θ suggest about the value of θ for this biased die compared with the value of θ associated with a fair, unbiased, die?
Show that L′(θ) = Cθ394(1 −2θ)604(395 −2000θ).

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