Basic Business Statistics, Student Value Edition (13th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 11, Problem 53PS

Medical wires are used in the manufacture of cardiovascular devices. A study was conducted to determine the effect of several factors on the ratio of the load on a test specimen (YS) to the ultimate tensile strength (UTS). The file Medicalwires1 contains the study results, which examined factors including the machine (W95 vs. W96) and the reduction angle (narrow vs. wide). (Data extracted from B. Nepal, S. Mohanty, and L. Kay, “Quality Improvement of Medical Wire Manufacturing Process,� Quality Engineering 25, 2013, pp. 151-163.)

At the 0.05 level of significance,

a. is there an interaction between machine type and reduction angle?

b. is there an effect due to machine type?

c. is there an effect due to reduction angle?

d. Plot the mean ratio of the load on a test specimen (YS) to the ultimate tensile strength (UTS) for each machine type for each reduction angle.

e. What can you conclude about the effects of machine type and reduction angle on the ratio of the load on a test specimen (YS) to the ultimate tensile strength (UTS)? Explain.

f. Repeat the analysis, using reduction angle as the only factor (see the MedicalWires2 file. Compare your results to thaw of (c) and (e).

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In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
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