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Let X equal the weight of the soap in a “6-pound” box.

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 4E Chapter 5.5

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 4E

Problem 4E

Let X equal the weight of the soap in a “6-pound” box. Assume that the distribution of X is N(6.05, 0.0004).

(a) Find P(X < 6.0171).

(b) If nine boxes of soap are selected at random from the production line, find the probability that at most two boxes weigh less than 6.0171 pounds each. Hint: Let Y equal the number of boxes that weigh less than 6.0171 pounds.

(c) Let  ≤ 6.035).

Step-by-Step Solution:
Step 1 of 3

Psych 2300: Psychology Research Methods 6/15 & 6/17 Four Validities - Validity: appropriateness of a conclusion or decision Construct Validity  Operationalization of a variable  Applies to all claims  Is this a reasonable way of quantifying what I want to understand  Assessing creativity  measure x : is x a reasonable way to measure creativity External Validity  Generalizability o How was the sample gathered o Can I apply this elsewhere  Can these results extend beyond my study  Can I apply it to the population I am interested in  Who can I apply these results to  Representativeness  How representative is your sample of the population of interest  Specifically interested

Step 2 of 3

Chapter 5.5, Problem 4E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X equal the weight of the soap in a “6-pound” box.