S=32 U = 29 a = 0.01 a/2=0.01/2=0.005 df=n-1 a=0.01 +-Value 29-1=28 = 2.763 P. 424: 9.28: Consider the null hypothesis Ho: H=625. Suppose that a random sample of 29 observations is taken from a normally distributed population with = 32. Using a significance level of .01, find the critical value(s) of z and shade the rejection regions on the sampling distribution curve of the sample mean when the alternative hypothesis is as follows. a. H: 625 b. H: >625 (= 0.01 0 N=625 O M#625 -2.763 c. H: 625 2.743 ( TableV The entries in this table give the critical values of t for the specified number of degrees of freedom and areas in the right tail. Area in the Right Tail under the t Distribution Curve .001 .10 .05 .025 .01 .005 df 2 12 3.078 6.314 12.706 31.821 63.657 318.309 22.327 1.886 2.920 4.303 6.965 9.925 10.215 3 1.638 2.353 3.182 4.541 5.841 4 1.533 2.132 2.776 3.747 4.604 7.173 5 1.476 2.015 2.571 3.365 4.032 5.893 ' 6 69 1.440 1.943 2.447 3.143 3.707 5.208 1.415 1.895 2.365 2.998 3.499 4.785 8 1.397 1.860- 2.306 2.896 3.355 4.501 9 1.383 1.833 2.262 2.821 3.250 4.297 10 1.372 1.812 2.228 2.764 3.169 4.144 11 1.363 1.796 2.201 2.718 3.106 4.025 12 1.356 1.782 2.179 2.681 3.055 3.930 13 1.350 1.771 2.160 2.650 3.012 3.852 14 1.345 1.761 2.145 2.624 2.977 3.787 15 1.341 1.753 2.131 2.602 2.947 3.733 16 1.337 1.746 2.120 2.583 2.921 3.686 1.333 1.740 2.110 2.567 2.898 3.646 1.330 1.734 2.101 2.552 2.878 3.610 28 29 22222222222233 1.328 1.729 2.093 2.539 2.861 3.579 1.325 1.725 2.086 2.528 2.845 3.552 1.323 1.721 2.080 2.518 2.831 3.527 1.321 1.717 2.074 2.508 2.819 3.505 1.319 1.714 2.069 2.500 2.807 3.485 1.318 1.711 2.064 2.492 2.797 3.467 1.316 1.708 2.060 2.485 2.787 3.450 26 1.315 1.706 2.056 2.479 2.779 3.435 27 1.314 1.703 2.052 2.473 2.771 3.421 1.313 1.701. 2.048 2.467 2.763 $ 3.408 1.311 1.699 2.045 2.462 2.756 3.396 1.310 1.697 2.042 2.457 2.750 3.385 1.309 1.696 2.040 2.453 2.744 3.375 1.309 1.694 2.037 2.449 2.738 3.365 1.308 1.692 2.035 2.445 2.733 3.356 1.307 1.691 2.032 2.441 2.728 3.348 35 1.306 .. 1.690 2.030 2.438 2.724 3.340 Table V The t Distribution Table (continued) Area in the Right Tail under the t Distribution Curve .00. df .10 .05 .025 .01 .005 3.2 36 1.306 1.688 2.028 2.434 2.719 3 37 1.305 1.687 2.026 2.431 2.715 3.3 38 1.304 1.686 2.024 2.429 2.712 3.21 39 1.304 1.685 2.023 2.426 2.708 3. 40 1.303 1.684 2.021 2.423 2.704 3.3 41 1.303 1.683 2.020 2.421 2.701 3.27 42 1.302 1.682 2.018 2.418 2.698 3.2 43 1.302 1.681 2.017 2.416 2.695 3.271 44 1.301 1.680 2.015 2.414 2.692 45 1.301 1.679 2.014 2.412 2.690 3.286 3.21 46 1.300 1.679 2.013 2.410 2.687 47 1.300 1.678 2.012 2.408 2.685 3.2 3.2 48 1.299 1.677 2.011 2.407 2.682 49 1.299 1.677 2.010 2.405 2.680 3.2 50 1.299 1.676 2.009 2.403 2.678 3.2 51 1.298 1.675 2.008 2.402 2.676 3.2: 52 1.298 1.675 2.007 2.400 2.674 3.25 53 1.298 1.674 2.006 2.399 2.672 3.25' 54 1.297 1.674 2.005 2.397 2.670 3.24' 55 1.297 1.673 2.004 2.396 2.668 3.2 56 1.297 1.673 2.003 2.395 2.667 3.242 57 1.297 1.672 2.002 2.394 2.665 3.239 58 1.296 1.672 2.002 2.392 2.663 3.23 59 1.296 1.671 2.001 $2.391 2.662 3.2 60 1.296 1.671 2.000 2.390 2.660 3.232 61 1.296 1.670 2.000 2.389 2.659 3.229 62 1.295 1.670 1.999 2.388 2.657 3.227 63 1.295 1.669 1.998 2.387 2.656 3.225 64 1.295 1.669 1.998 2.386 2.655 3.223 65 1.295 1.669 1.997 2.385 2.654 3.220 67 929 66 1.295 1.668 1.997 2.384 2.652 3.218 1.294 1.668 1.996 2.383 2.651 3.216 68 1.294 1.668 1.995 2.382 2.650 3.214 69 1.294 1.667 1.995 2.382 2.649 3:13 70 1.294 1.667 1.994 2.381 2.648 3. 11 71 1.294 1:667 1.994 2.380 2.647 3.09 72 1.293 1.666 1.993 2.379 2.646 73 1.293 3.07 1.666 1.993 .2.379 2.645 74 1.293 3.306 1.666 1.993 2.378 2.644 75 1.293 1.665 3.04 1.992 2.377 1.282 2.643 1.645 3.02 1.960 2.326 2.576 3.990