(a) The data as shown in Table Q2(a) are the modulus of elasticity (x 10° psi) for lumber of three different grades. Given the MSe is 0.183. Table Q2(a): Modulus of elasticity for different lumber grades Grade ỹi. 1.63 Si. 0.27 10 2 10 1.56 0.24 3 10 1.42 0.26 (i) Using a significance level of 0.05, test the null hypothesis of no difference in mean modulus of elasticity for the three grades. (ii) Can Least Significant Difference be applied to test the differences between the individual level means? Explain your answers.

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(а)
The data as shown in Table Q2(a) are the modulus of elasticity (x 10° psi)
for lumber of three different grades. Given the MSɛ is 0.183.
Table Q2(a): Modulus of elasticity for different lumber grades
Grade
ỹi.
1.63
Si.
0.27
n
10
2
10
1.56
0.24
3
10
1.42
0.26
Using a significance level of 0.05, test the null hypothesis of no
(i)
difference in mean modulus of elasticity for the three grades.
(ii) Can Least Significant Difference be applied to test the differences
between the individual level means? Explain your answers.
Transcribed Image Text:(а) The data as shown in Table Q2(a) are the modulus of elasticity (x 10° psi) for lumber of three different grades. Given the MSɛ is 0.183. Table Q2(a): Modulus of elasticity for different lumber grades Grade ỹi. 1.63 Si. 0.27 n 10 2 10 1.56 0.24 3 10 1.42 0.26 Using a significance level of 0.05, test the null hypothesis of no (i) difference in mean modulus of elasticity for the three grades. (ii) Can Least Significant Difference be applied to test the differences between the individual level means? Explain your answers.
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