Part 1: The Goodness-of-fit testThe 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 areproduced. The number of expected defects is listed in Table A. A random sample was taken todetermine the actual number of defects. This information is contained in Table B below.Table ANumberproduced0-100101-200201-300301-400401-500Numberdefective567810Numberproduced0-100101-200(c) What are the degrees of freedom?201-300301-400Table B401-500NumberDefective578911(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.

The null and alternative hypotheses can be written as follows: Null hypothesis (H₀): The actual…

Answered: Part 1: The Goodness-of-fit test The…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You may need to use the appropriate technology to answer this question. A certain manufacturer is a producer of aluminum components for the avionics and automotive industries. At its plant, an engineer has conducted a quality-control test in which aluminum coils produced in all three shifts were inspected. The study was designed to determine if the population proportion of good parts was the same for all three shifts. Sample data follow. Production Shift Quality First Second Third Good 282 364 172 Defective 18 36 28 (1) Using a 0.05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. State the null and alternative hypotheses. A) H0: p1 = p2 = p3 Ha: Not all population proportions are equal. B) H0: p1 ≠ p2 ≠ p3 Ha: All population proportions are equal. C) H0: At least two population proportions are equal. Ha: p1 ≠ p2 ≠ p3 D) H0: Not all population proportions are equal. Ha: p1 =…
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Textbook question for practise - A behavioural psychologist has developed a cognitive-behavioural therapy (CBT) technique modified from classic systematic desensitization to reduce her patients’ phobia of spiders. She decides to test the effectiveness of her new therapy approach by selecting ten patients at random to undergo the treatment for 3 months. The patients were asked to rate how much fear they feel/experience when in the presence of a spider/spiders using a scale from 0 (no fear at all) to 100 (extreme panic and fear). They were tested before and after the therapy. The ratings for each patient are as follows: For this question, be sure to do the following: ▪ State the statistical hypotheses (using the appropriate notation). ▪ Indicate whether the research hypothesis is non-directional or directional (and how you know). ▪ Set the decision rules, which will include: o State alpha - 0.05% o Compute the degrees of freedom o Providing the critical value for the test statistic…
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