Refer to Exercise 1.a. Find a 95% confidence interval for the coefficient of Manganese.b. Find a 99% confidence interval for the coefficient of Thickness.c. Can you conclude that β₁> 3? Perform the appropriate hypothesis test.d. Can you conclude that β₂< ??0.1? Perform the appropriate hypothesis test.

Refer to Exercise 1

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The regression equation is Strength = 26.641 + 3.3201 Manganese 0.4249 Thickness Predictor StDev 2.72340 0.33198 Coef P Constant 26.641 3.3201 -0.4249 9.78 Manganese Thickness 10.00 -3.37 0.000 0.000 0.004 0.12606 S = 0.8228 R-Sq = 86.2% R-Sq(adj) = 84.6% %3D Analysis of Variance Source DF 2 MS 36.005 F 53.19 P 0.000 Regression Residual Error Total 17 19 72.01 11.508 83.517 0.6769