a) For the 14-gauge wire, determine the 5-number summary of the tensile strength.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaa10c26-cbee-4bce-8288-4cc4a3c3b941%2F8b613a76-50f6-49fa-9d8a-a46e7fcd0f09%2Fv0v29x8_processed.jpeg&w=3840&q=75)
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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