Consider the following summary data on the modulus of elasticity (✕ 106 psi) for lumber of three different grades. GradeJxi.si191.610.22291.540.25391.430.21Use this data and a significance level of 0.01 to test the null hypothesis of no difference in mean modulus of elasticity for the three grades. Calculate the test statistic. (Round your answer to two decimal places.)f =What can be said about the P-value for the test?P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001What can you conclude?Reject H0. At least two of the three grades appear to differ significantly. Reject H0. The three grades do not appear to differ significantly. Fail to reject H0. The three grades do not appear to differ significantly. Fail to reject H0. At least two of the three grades appear to differ significantly. Consider the following summary data on the modulus of elasticity (x 106 psi) for lumber of three different grades.Grade J X₁. Si1239 1.61 0.229 1.54 0.259 1.43 0.21USE SALTUse this data and a significance level of 0.01 to test the null hypothesis of no difference in mean modulus of elasticity for the three grades. Calculate the test statistic. (Round your answer to two decimal places.)f =What can be said about the P-value for the test?OP-value > 0.100O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O 0.001 < P-value < 0.010OP-value < 0.001What can you conclude?O Reject Ho. At least two of the three grades appear to differ significantly.O Reject Ho. The three grades do not appear to differ significantly.O Fail to reject Ho. The three grades do not appear to differ significantly.O Fail to reject Ho. At least two of the three grades appear to differ significantly.You may need to use the appropriate table in the Appendix of Tables to answer this question.

The question is about ANOVA Given : To find : To test the null hypo. that there is no diff. in…

Answered: nsider the following summary data on…

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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Consider the following summary data on the modulus of elasticity (✕ 10⁶ psi) for lumber of three different grades.

Grade	J	x_i.	s_i
1	9	1.61	0.22
2	9	1.54	0.25
3	9	1.43	0.21

Use this data and a significance level of 0.01 to test the null hypothesis of no difference in mean modulus of elasticity for the three grades. Calculate the test statistic. (Round your answer to two decimal places.)

f =

What can be said about the P-value for the test?

P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001

What can you conclude?

Reject H₀. At least two of the three grades appear to differ significantly. Reject H₀. The three grades do not appear to differ significantly. Fail to reject H₀. The three grades do not appear to differ significantly. Fail to reject H₀. At least two of the three grades appear to differ significantly.

Consider the following summary data on the modulus of elasticity (x 106 psi) for lumber of three different grades.
Grade J X₁. Si
1
2
3
9 1.61 0.22
9 1.54 0.25
9 1.43 0.21
USE SALT
Use this data and a significance level of 0.01 to test the null hypothesis of no difference in mean modulus of elasticity for the three grades. Calculate the test statistic. (Round your answer to two decimal places.)
f =
What can be said about the P-value for the test?
OP-value > 0.100
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O 0.001 < P-value < 0.010
OP-value < 0.001
What can you conclude?
O Reject Ho. At least two of the three grades appear to differ significantly.
O Reject Ho. The three grades do not appear to differ significantly.
O Fail to reject Ho. The three grades do not appear to differ significantly.
O Fail to reject Ho. At least two of the three grades appear to differ significantly.
You may need to use the appropriate table in the Appendix of Tables to answer this question.

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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