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a) For the 14-gauge wire, determine the 5-number summary of the tensile strength.

a) For the 14-gauge wire, determine the 5-number summary of the tensile strength.

A First Course in Probability (10th Edition)
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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d) Which of the following is a correct interpretation of the 95% confidence level? i) There is a 95% probability that the mean breaking strength is in your interval. ii) In about 95% of all samples for which this procedure is used, the confidence interval will cover the true population mean, but there is no way to know if this interval covers the true mean or not. iii) If this test was to be repeated with a sample of the same size, there is a 95% probability that the sample mean would be in your interval. iv) 95% of the time the breaking strength of the wire are in your interval. e) How do your results in c) support your findings in b) and based on your results, which barb-wire do you think is better.
Transcribed Image Text:d) Which of the following is a correct interpretation of the 95% confidence level? i) There is a 95% probability that the mean breaking strength is in your interval. ii) In about 95% of all samples for which this procedure is used, the confidence interval will cover the true population mean, but there is no way to know if this interval covers the true mean or not. iii) If this test was to be repeated with a sample of the same size, there is a 95% probability that the sample mean would be in your interval. iv) 95% of the time the breaking strength of the wire are in your interval. e) How do your results in c) support your findings in b) and based on your results, which barb-wire do you think is better.
Two types of wire, a 12 ½-gauge low-carbon wire and a thinner 14-gauge high-tensile wire, both used in barbed-wire fencing, are tested to see which wire is stronger. A sample of 20 wires of each gauge was taken and the breaking strengths, in pounds, of both types of wire was determined. [The gauge is a number that refers to the thickness of the wire. The higher the number the thinner the wire.] The results are given below. 12 ½-gauge, low-carbon wire: Minimum Lower Median Upper Maximum quartile quartile 730 765 782.5 805 825 14-gauge, high-tensile wire: (Individual measurements) 780 780 775 770 780 780 790 780 770 780 780 785 800 775 760 770 800 780 790 790 a) For the 14-gauge wire, determine the 5-number summary of the tensile strength. b) Compare the Centre and Spread of the 2 sets of data, using the 5-number summaries for the 12.5-gauge and 14-gauge wire.
Transcribed Image Text:Two types of wire, a 12 ½-gauge low-carbon wire and a thinner 14-gauge high-tensile wire, both used in barbed-wire fencing, are tested to see which wire is stronger. A sample of 20 wires of each gauge was taken and the breaking strengths, in pounds, of both types of wire was determined. [The gauge is a number that refers to the thickness of the wire. The higher the number the thinner the wire.] The results are given below. 12 ½-gauge, low-carbon wire: Minimum Lower Median Upper Maximum quartile quartile 730 765 782.5 805 825 14-gauge, high-tensile wire: (Individual measurements) 780 780 775 770 780 780 790 780 770 780 780 785 800 775 760 770 800 780 790 790 a) For the 14-gauge wire, determine the 5-number summary of the tensile strength. b) Compare the Centre and Spread of the 2 sets of data, using the 5-number summaries for the 12.5-gauge and 14-gauge wire.
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