Two kinds of thread are being compared for strength. Fifty pieces of each type of thread are tested under similar conditions. Brand A has an average tensile strength of 78.3 kilograms with a standard deviation of 5.6 kilograms, while brand B has an average tensile strength of 87.2 kilograms with a standard deviation of 6.3 kilograms. Using a=0.01, test the hypothesis that the mean strength of brand B has a higher strength than that of Brand A.
Two kinds of thread are being compared for strength. Fifty pieces of each type of thread are tested under similar conditions. Brand A has an average tensile strength of 78.3 kilograms with a standard deviation of 5.6 kilograms, while brand B has an average tensile strength of 87.2 kilograms with a standard deviation of 6.3 kilograms. Using a=0.01, test the hypothesis that the mean strength of brand B has a higher strength than that of Brand A.
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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Transcribed Image Text:z <-%a
z > Za
2 <-%a/2 or 2 > ²a/2
Two kinds of thread are being compared for strength. Fifty pieces of each type
of thread are tested under similar conditions. Brand A has an average tensile
strength of 78.3 kilograms with a standard deviation of 5.6 kilograms, while brand
B has an average tensile strength of 87.2 kilograms with a standard deviation of
6.3 kilograms. Using a=0.01, test the hypothesis that the mean strength of brand
B has a higher strength than that of Brand A.
H1-H₂ < do
H1-H₂> do
1-₂
do
Reject Ho: HB > HA
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