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4. Tensile strength tests were carried out on two difference grades of wire rod, resulting in the accompanying data. Tensile strength is normally distributed for both grades of wire rod. Assume the population standard deviations are unequal. df= 22.51 Sample Mean (kg/mm²) 123.6 Grade Sample Size Sample SD AISI 1078 AISI 1064 14 2.0 12 107.6 1.3 a) Does the data provide compelling evidence for concluding that the true average strength of the 1078 grade is different from the 1064 grade? Test the appropriate hypotheses using the p-value approach at the .01 level. b) Describe a Type I Error and Type II error here.

4. Tensile strength tests were carried out on two difference grades of wire rod, resulting in the accompanying data. Tensile strength is normally distributed for both grades of wire rod. Assume the population standard deviations are unequal. df= 22.51 Sample Mean (kg/mm²) 123.6 Grade Sample Size Sample SD AISI 1078 AISI 1064 14 2.0 12 107.6 1.3 a) Does the data provide compelling evidence for concluding that the true average strength of the 1078 grade is different from the 1064 grade? Test the appropriate hypotheses using the p-value approach at the .01 level. b) Describe a Type I Error and Type II error here.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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4. Tensile strength tests were carried out on two difference grades of wire rod, resulting in the accompanying data. Tensile strength is normally distributed for both grades of wire rod. Assume the population standard deviations are unequal. df= 22.51 Sample Mean (kg/mm?) Grade Sample Size Sample SD AISI 1078 AISI 1064 14 123.6 2.0 12 107.6 1.3 a) Does the data provide compelling evidence for concluding that the true average strength of the 1078 grade is different from the 1064 grade? Test the appropriate hypotheses using the p-value approach at the .01 level. b) Describe a Type I Error and Type II error here.
Transcribed Image Text:4. Tensile strength tests were carried out on two difference grades of wire rod, resulting in the accompanying data. Tensile strength is normally distributed for both grades of wire rod. Assume the population standard deviations are unequal. df= 22.51 Sample Mean (kg/mm?) Grade Sample Size Sample SD AISI 1078 AISI 1064 14 123.6 2.0 12 107.6 1.3 a) Does the data provide compelling evidence for concluding that the true average strength of the 1078 grade is different from the 1064 grade? Test the appropriate hypotheses using the p-value approach at the .01 level. b) Describe a Type I Error and Type II error here.
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