Data for nine girders in the form of the ratio of predicted to observed load for two procedures, the Karlsruhe and Lehigh methods, are as follows:GirderKarlsruheLehigh11.1861.06121.1510.99231.3221.06341.3391.06251.2001.06561.4021.17871.3651.03781.5371.08691.5591.0521) calculate the t-value and what is your conclusion at (α = 0.05)? 2) What is the 90% confidence interval for the difference in means?

1).Given, the data of nine girders by the two procedures, Karlsruhe and Lehigh methods. n=9 α=0.05…

Answered: Data for nine girders in the form of…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.6: Rational Functions

Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.

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Data for nine girders in the form of the ratio of predicted to observed load for two procedures, the Karlsruhe and Lehigh methods, are as follows:

Girder	Karlsruhe	Lehigh
1	1.186	1.061
2	1.151	0.992
3	1.322	1.063
4	1.339	1.062
5	1.200	1.065
6	1.402	1.178
7	1.365	1.037
8	1.537	1.086
9	1.559	1.052

1) calculate the t-value and what is your conclusion at (α = 0.05)?
2) What is the 90% confidence interval for the difference in means?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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