The slant shear test is widely accepted for evaluating the bond of resinous repair materials to concrete; it utilizes cylinder specimens made of two identical halves bonded at 30°. An article reported that for 12 specimens prepared using wire-brushing, the sample mean shear strength (N/mm2) and sample standard deviation were 18.60 and 1.56, respectively, whereas for 12 hand-chiseled specimens, the corresponding values were 23.19 and 4.07. Does the true average strength appear to be different for the two methods of surface preparation? State and test the relevant hypotheses using a significance level of 0.05. (Use ?1 for wire-brushing and ?2 for hand-chiseling.) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≤ 0H0: ?1 − ?2 = 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = You may have computed the probability of one tail of the distribution. Consider which area of the distribution is appropriate. State the conclusion in the problem context. Reject H0. The data suggests that the true average strength is not different for the two methods of surface preparation.Fail to reject H0. The data suggests that the true average strength is not different for the two methods of surface preparation. Fail to reject H0. The data suggests that the true average strength is not different for the two methods of surface preparation.Reject H0. The data suggests that the true average strength is different for the two methods of surface preparation. What are you assuming about the shear strength distributions? It is assumed that variances of distributions for both preparation types are equal.It is assumed that means of distributions for both preparation types are equal. It is assumed that distributions for both preparation types are the same.It is assumed that distributions for both preparation types are normal.

The slant shear test is widely accepted for evaluating the bond of resinous repair materials to concrete; it utilizes cylinder specimens made of two identical halves bonded at 30°. An article reported that for 12 specimens prepared using wire-brushing, the sample mean shear strength (N/mm2) and sample standard deviation were 18.60 and 1.56, respectively, whereas for 12 hand-chiseled specimens, the corresponding values were 23.19 and 4.07. Does the true average strength appear to be different for the two methods of surface preparation? State and test the relevant hypotheses using a significance level of 0.05. (Use ?1 for wire-brushing and ?2 for hand-chiseling.) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≤ 0H0: ?1 − ?2 = 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = You may have computed the probability of one tail of the distribution. Consider which area of the distribution is appropriate. State the conclusion in the problem context. Reject H0. The data suggests that the true average strength is not different for the two methods of surface preparation.Fail to reject H0. The data suggests that the true average strength is not different for the two methods of surface preparation. Fail to reject H0. The data suggests that the true average strength is not different for the two methods of surface preparation.Reject H0. The data suggests that the true average strength is different for the two methods of surface preparation. What are you assuming about the shear strength distributions? It is assumed that variances of distributions for both preparation types are equal.It is assumed that means of distributions for both preparation types are equal. It is assumed that distributions for both preparation types are the same.It is assumed that distributions for both preparation types are normal.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

State and test the relevant hypotheses using a significance level of 0.05. (Use ?₁ for wire-brushing and ?₂ for hand-chiseling.)

H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ ≤ 0H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ < 0 H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ > 0H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ ≠ 0

Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

t	=
P-value	=	You may have computed the probability of one tail of the distribution. Consider which area of the distribution is appropriate.

State the conclusion in the problem context.

Reject H₀. The data suggests that the true average strength is not different for the two methods of surface preparation.Fail to reject H₀. The data suggests that the true average strength is not different for the two methods of surface preparation. Fail to reject H₀. The data suggests that the true average strength is not different for the two methods of surface preparation.Reject H₀. The data suggests that the true average strength is different for the two methods of surface preparation.

What are you assuming about the shear strength distributions?

It is assumed that variances of distributions for both preparation types are equal.It is assumed that means of distributions for both preparation types are equal. It is assumed that distributions for both preparation types are the same.It is assumed that distributions for both preparation types are normal.

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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