nsider the following summary data on the modulus of elasticity (x 10° psi) for lumber of three different grades. Grade X₁ S₁ 1 2 3 9 1.61 0.22 9 1.54 0.25 9 1.43 0.21 USE SALT e 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.) =[ hat 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 hat 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. u 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 + ...