An article shows data to compare several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied nine times to a girder, are shown in the following table. We wish to determine whether there is any difference between the two methods. Assume the same standard deviations. (Note that we will perform unpaired comparison. We do not perform a paired test.)Karlsruhe MethodLehigh Method1.213041.1603841.2514781.2688341.2182711.2142541.2324971.2449611.1425731.0916211.2865631.22971.2392221.2192691.1613941.1628441.1697851.1182031.2310581.1992581.2333291.2694861.1533811.1066661.2. For a sample standard deviation, use Excel function STDEV.S(), not STDEV.P(). Fill in the blanks below:Karlsruhe MethodLehigh Methodx1 =x2 =s1 =s2 =n1 =n2 = 1.3. Do the data suggest that the two methods provide the same mean shear strength? Use α = 0.1. Find the P-value rounded to 6 decimal places (using Microsoft Excel.) 1.4. Find a 90% confidence interval on the mean difference between the two methods and use it to answer the question in 1.3.

P value is grater than the level of significance We fail to reject the null hypothesis There is no…

1.3. Do the data suggest that the two methods provide the same mean shear strength? Use α = 0.1. Find the P-value rounded to 6 decimal places (using Microsoft Excel.) 1.4. Find a 90% confidence interval on the mean difference between the two methods and use it to answer the question in 1.3.

1.3. Do the data suggest that the two methods provide the same mean shear strength? Use α = 0.1. Find the P-value rounded to 6 decimal places (using Microsoft Excel.) 1.4. Find a 90% confidence interval on the mean difference between the two methods and use it to answer the question in 1.3.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

An article shows data to compare several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied nine times to a girder, are shown in the following table. We wish to determine whether there is any difference between the two methods. Assume the same standard deviations. (Note that we will perform unpaired comparison. We do not perform a paired test.)

Karlsruhe Method	Lehigh Method
1.21304	1.160384
1.251478	1.268834
1.218271	1.214254
1.232497	1.244961
1.142573	1.091621
1.286563	1.2297
1.239222	1.219269
1.161394	1.162844
1.169785	1.118203
1.231058	1.199258
1.233329	1.269486
1.153381	1.106666

1.2. For a sample standard deviation, use Excel function STDEV.S(), not STDEV.P(). Fill in the blanks below:

Karlsruhe Method	Lehigh Method
x₁=	x₂ =
s₁ =	s₂ =
n₁ =	n₂ =

1.3. Do the data suggest that the two methods provide the same mean shear strength? Use α = 0.1. Find the P-value rounded to 6 decimal places (using Microsoft Excel.)

1.4. Find a 90% confidence interval on the mean difference between the two methods and use it to answer the question in 1.3.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution