Estimation of Parameter Directions: Solve the following problems by showing your complete solutions. Observe proper rounding off of values (For variance to standard deviation, round off to 2 decimal places. For z-value, round off to 2 decimal places. For t-value, round off to 3 decimal places. For the value of E, follow the rule that we set in class.) A. Assume that each population is normally distributed. Compute for the z-value of the following. (2 points each) 1. # = 100, o = 2, X = 100.5, and n = 80 2. H = 140, o = 14, X = 145, and n = 12 3. u = 245, 0? = 20, X = 248, and n = 25 4. u = 12.5, s = 5, X = 11.8, and n = 50 5. H = 87, s? = 30, X = 86.2, and n = 33 B. Assume that the population is normally distributed. Compute for the t-value of each. (2 points each) 6. u = 18.5, s = 2.5, X = 19, and n = 16 7. u = 200, s = 10, X = 197, and n = 14 8. H = 67.2, s? = 4, X = 68.5, and n = 11 9. H = 14.6, s? = 27, X = 11.7, and n = 8 10. # = 9.25, s? = 1.4, X = 10.12, and n = 15df 1.100 t.050 t.025 t.010 1.005 3.078 6.314 12.706 31.821 63.657 1.886 2.920 4.303 6.965 9.925 1.638 2.353 3.182 4.541 5.841 1.533 2.132 2.776 3.747 4.604 1.476 2.015 2.571 3.365 4.032 1.440 1.943 2.447 3.143 3.707 1.415 1.895 2.365 2.998 3.499 1.397 1.860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 10 1.372 1.812 2.228 2.764 3.169 11 1.363 1.796 2.201 2.718 3.106 12 1.356 1.782 2.179 2.681 3.055 13 1.350 1.771 2.160 2.650 3.012 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24 1.318 1.711 2.064 2.492 2.797 25 1.316 1.708 2.060 2.485 2.787 26 1.315 1.706 2.056 2.479 2.779 27 1.314 1.703 2.052 2.473 2.771 28 1.313 1.701 2.048 2.467 2.763 29 1.311 1.699 2.045 2.462 2.756 30 1.310 1.697 2.042 2.457 2.750 32 1.309 1.694 2.037 2.449 2.738 34 1.307 1.691 2.032 2.441 2.728 36 1.306 1.688 2.028 2.434 2.719 38 1.304 1.686 2.024 2.429 2.712 1.282 1.645 1.960 2.326 2.576
