Part 1: The Goodness-of-fit test The problems in this section are taken directly from the course textbook. 1. A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in Table A. A random sample was taken to determine the actual number of defects. This information is contained in Table B below. Table A Number produced 0-100 101-200 201-300 301-400 401-500 Number defective 5 6 7 8 10 Number produced 0-100 101-200 (c) What are the degrees of freedom? 201-300 301-400 Table B 401-500 Number Defective 5 7 8 9 11 (a) Write out the null and alternative hypothesis. Use correct notation. Clearly label the claim. (b) Can a goodness-of-fit test be used? If your answer is, "yes," conduct the goodness-of-fit test. If you answer is, "no," explain why this test does not apply.
Part 1: The Goodness-of-fit test The problems in this section are taken directly from the course textbook. 1. A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in Table A. A random sample was taken to determine the actual number of defects. This information is contained in Table B below. Table A Number produced 0-100 101-200 201-300 301-400 401-500 Number defective 5 6 7 8 10 Number produced 0-100 101-200 (c) What are the degrees of freedom? 201-300 301-400 Table B 401-500 Number Defective 5 7 8 9 11 (a) Write out the null and alternative hypothesis. Use correct notation. Clearly label the claim. (b) Can a goodness-of-fit test be used? If your answer is, "yes," conduct the goodness-of-fit test. If you answer is, "no," explain why this test does not apply.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 22E
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Transcribed Image Text:Part 1: The Goodness-of-fit test
The problems in this section are taken directly from the course textbook.
1.
A factory manager needs to understand how many products are defective versus how many are
produced. The number of expected defects is listed in Table A. A random sample was taken to
determine the actual number of defects. This information is contained in Table B below.
Table A
Number
produced
0-100
101-200
201-300
301-400
401-500
Number
defective
5
6
7
8
10
Number
produced
0-100
101-200
(c) What are the degrees of freedom?
201-300
301-400
Table B
401-500
Number
Defective
5
7
8
9
11
(a) Write out the null and alternative hypothesis. Use correct notation. Clearly label the claim.
(b) Can a goodness-of-fit test be used? If your answer is, "yes," conduct the goodness-of-fit test.
If you answer is, "no," explain why this test does not apply.
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