Statistics for Business and Economics, Student Value Edition (13th Edition)
Statistics for Business and Economics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780134456997
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 15.2, Problem 15.7ACB

Salaries of experienced MBA graduates. According to U.S. News & World Report’s Business School Rankings. the median earnings for graduates of full-time, highly ranked MBA programs 4 years after graduating is $125,000 A random sample of 50 recent graduates from a particular highly ranked MBA program was mailed a questionnaire and asked to report their annual earnings. Fifteen usable responses were received; nine indicated earnings greater than $125,000 and six indicated earnings below $125,000.

  1. a. Specify the null and alternative hypotheses that should be used in testing whether the median income of graduates of the MBA program is more than $125,000.
  2. b. Conduct the test of part a using α = .05 and draw your conclusion in the context of the problem.
  3. c. What assumptions must hold to ensure the validity of your hypothesis test?
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Question 1 The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). Table 1: Bearing Diameter Data Sample Number I R Sample Number I R 1 34.5 3 13 35.4 8 2 34.2 4 14 34.0 6 3 31.6 4 15 37.1 5 4 31.5 4 16 34.9 7 5 35.0 5 17 33.5 4 6 34.1 6 18 31.7 3 7 32.6 4 19 34.0 8 8 33.8 3 20 35.1 9 34.8 7 21 33.7 2 10 33.6 8 22 32.8 1 11 31.9 3 23 33.5 3 12 38.6 9 24 34.2 2 (a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. [15 pts] (b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro- duced by this process. Assume that diameter is normally distributed. [10 pts] 1

Chapter 15 Solutions

Statistics for Business and Economics, Student Value Edition (13th Edition)

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