STA9708 Ex2 2019.docx - STA 9708 Fall 2019 Exam 2 Name Q1 The first question tests your understanding of hypothesis testing in the context of the

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STA 9708 Fall 2019 Exam 2 Name________________________________ Q1 . The first question tests your understanding of hypothesis testing in the context of the triangle taste test we discussed in class. In this case, the test consists of 15 identical trials on which the subject (a job applicant) attempts to identify the odd sample on each trial, and H 0 : p = 1/3 and H a : p > 1/3. Assume the 2 rejection regions are: (1) R7= {7, 8, 9, 10, 11, 12, 13, 14, 15} and (2) R9= {9, 10, 11, 12, 13, 14, 15}. 1. What is the p-value for a job applicant who achieves x = 8 correct identifications in n = 15 trials? ____________ (1 point) (a) 0.0152(b) 0.0018(c) 0.0213(d) 0.0308(e) 0.1311(f) 0.0085(g) 0.0970(h) 0.0882 (i) 0.0023 (j) 0.2030 1
Q2 . A regression equation with 2 independent variables is calibrated on a sample of size of 20. The ANOVA table reports that the regression sum of squares is 128,329 and the residual sum of squares is 151,016. The coefficient on x 1 is -941.9; the standard error is 275.08. For x 2 , the coefficient is -429.06; the standard error is 379.83. 1. What is the p-value for the test of significance of the overall regression equation? ____________ (1 point) 2.What is the p-value for the test of significance of x1? ____________ (1 point) 3. What is the p-value for the test of significance of x 2 ? ____________ (1 point) (i) 0.0024 (j) 0.0202 2
Q3 . A quality control inspector is always on the lookout for substandard parts and components provided to her manufacturing company by outside suppliers. Because most shipments contain some defective items, each must be subjected to inspection. Naturally, some shipments contain more defectives than others, and it is the job of the inspector to identify the most defective-laden shipments so that they can be returned to the supplier. Suppose the inspector selects a sample of 121 items from a

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