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Q. A new hair-styler wants to decide about the hair-colouring pricing and she believes that standard hair colouring should be charged no less than $30. She has no record on hair-colouring prices. She took a sample of size 22 and asked about money they are charged for and she found that s = $4.5s and sample means is $28. Test the claim that she believes in using a significance level of a = 0.025. S =
Values of t for Selected Probabilities df = 10 0.05 0.05 t = -1.8125 0 t = 1.8125 Conf. Level One Tail Two Tails 0.1 0.45 0.9 0.98 0.01 0.02 0.99 0.005 0.01 d. f. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0.1584 0.1421 0.1366 0.1338 0.1322 0.1311 0.1303 0.1297 0.1293 0.1289 0.1286 0.1283 0.1281 0.1280 0.1278 0.1277 0.1276 0.1274 0.1274 0.1273 0.1272 0.1271 0.1271 0.1270 0.1269 0.1269 0.1268 0.1268 0.1268 0.1267 0.1265 0.1263 0.1262 0.1261 0.1261 0.1260 Probabilites (Or Areas Under t-Distribution Curve) 0.3 0.5 0.7 0.8 0.9 0.95 0.35 0.25 0.15 0.1 0.05 0.025 0.7 0.5 0.3 0.2 0.1 0.05 Values oft 0.5095 1.0000 1.9626 3.0777 6.3137 12.7062 0.4447 0.8165 1.3862 1.8856 2.9200 4.3027 0.4242 0.7649 1.2498 1.6377 2.3534 3.1824 0.4142 0.7407 1.1896 1.5332 2.1318 2.7765 0.4082 0.7267 1.1558 1.4759 2.0150 2.5706 0.4043 0.7176 1.1342 1.4398 1.9432 2.4469 0.4015 0.7111 1.1192 1.4149 1.8946 2.3646 0.3995 0.7064 1.1081 1.3968 1.8595 2.3060 0.3979 0.7027 1.0997 1.3830 1.8331 2.2622 0.3966 0.6998 1.0931 1.3722 1.8125 2.2281 0.3956 0.6974 1.0877 1.3634 1.7959 2.2010 0.3947 0.6955 1.0832 1.3562 1.7823 2.1788 0.3940 0.6938 1.0795 1.3502 1.7709 2.1604 0.3933 0.6924 1.0763 1.3450 1.7613 2.1448 0.3928 0.6912 1.0735 1.3406 1.7531 2.1315 0.3923 0.6901 1.0711 1.3368 1.7459 2.1199 0.3919 0.6892 1.0690 1.3334 1.7396 2.1098 0.3915 0.6884 1.0672 1.3304 1.7341 2.1009 0.3912 0.6876 1.0655 1.3277 1.7291 2.0930 0.3909 0.6870 1.0640 1.3253 1.7247 2.0860 0.3906 0.6864 1.0627 1.3232 1.7207 2.0796 0.3904 0.6858 1.0614 1.3212 1.7171 2.0739 0.3902 0.6853 1.0603 1.3195 1.7139 2.0687 0.3900 0.6848 1.0593 1.3178 1.7109 2.0639 0.3898 0.6844 1.0584 1.3163 1.7081 2.0595 0.3896 0.6840 1.0575 1.3150 1.7056 2.0555 0.3894 0.6837 1.0567 1.3137 1.7033 2.0518 0.3893 0.6834 1.0560 1.3125 1.7011 2.0484 0.3892 0.6830 1.0553 1.3114 1.6991 2.0452 0.3890 0.6828 1.0547 1.3104 1.6973 2.0423 0.3881 0.6807 1.0500 1.3031 1.6839 2.0211 0.3875 0.6794 1.0473 1.2987 1.6759 2.0086 0.3872 0.6786 1.0455 1.2958 1.6706 2.0003 0.3869 0.6780 1.0442 1.2938 1.6669 1.9944 0.3867 0.6776 1.0432 1.2922 1.6641 1.9901 0.3866 0.6772 1.0424 1.2910 1.6620 1.9867 31.8210 6.9645 4.5407 3.7469 3.3649 3.1427 2.9979 2.8965 2.8214 2.7638 2.7181 2.6810 2.6503 2.6245 2.6025 2.5835 2.5669 2.5524 2.5395 2.5280 2.5176 2.5083 2.4999 2.4922 2.4851 2.4786 2.4727 2.4671 2.4620 2.4573 2.4233 2.4033 2.3901 2.3808 2.3739 2.3685 63.6559 9.9250 5.8408 4.6041 4.0321 3.7074 3.4995 3.3554 3.2498 3.1693 3.1058 3.0545 3.0123 2.9768 2.9467 2.9208 2.8982 2.8784 2.8609 2.8453 2.8314 2.8188 2.8073 2.7970 2.7874 2.7787 2.7707 2.7633 2.7564 2.7500 2.7045 2.6778 2.6603 2.6479 2.6387 2.6316 26 27 28 29 30 40 50 60 70 80 90 Arn
90 100 250 500 0.1260 0.1260 0.1258 0.1257 0.3866 0.3864 0.3858 0.3855 0.6772 0.6770 0.6755 0.6750 1.0424 1.0418 1.0386 1.0375 1.2910 1.2901 1.2849 1.2832 1.6620 1.6602 1.6510 1.6479 1.9867 1.9840 1.9695 1.9647 2.3685 2.3642 2.3414 2.3338 2.6316 2.6259 2.5956 2.5857 了 0.1257 0.3853 0.6745 1.0364 1.2816 1.6449 1.9600 2.3263 2.5758
Standard Normal Distribution Table 0.3944 Z z= 1.25 Z 0 0.01 0.02 0.04 0.05 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.2257 0.2580 0.2881 0.3159 0.3413 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4649 0.4719 0.4778 0.4826 0.4864 0.4896 0.4920 0.4940 0.4955 0.4966 0.4975 0.4982 0.4987 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.2324 0.2642 0.2939 0.3212 0.3461 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4726 0.4783 0.4830 0.4868 0.4898 0.4922 0.4941 0.4956 0.4967 0.4976 0.4982 0.4987 0.03 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.4834 0.4871 0.4901 0.4925 0.4943 0.4957 0.4968 0.4977 0.4983 0.4988 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.2422 0.2734 0.3023 0.3289 0.3531 0.3749 0.3944 0.4115 0.4265 0.4394 0.4505 0.4599 0.4678 0.4744 0.4798 0.4842 0.4878 0.4906 0.4929 0.4946 0.4960 0.4970 0.4978 0.4984 0.4989 0.06 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.2454 0.2764 0.3051 0.3315 0.3554 0.3770 0.3962 0.4131 0.4279 0.4406 0.4515 0.4608 0.4686 0.4750 0.4803 0.4846 0.4881 0.4909 0.4931 0.4948 0.4961 0.4971 0.4979 0.4985 0.4989 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 0.4525 0.4616 0.4693 0.4756 0.4808 0.4850 0.4884 0.4911 0.4932 0.4949 0.4962 0.4972 0.4979 0.4985 0.4989 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.2517 0.2823 0.3106 0.3365 0.3599 0.3810 0.3997 0.4162 0.4306 0.4429 0.4535 0.4625 0.4699 0.4761 0.4812 0.4854 0.4887 0.4913 0.4934 0.4951 0.4963 0.4973 0.4980 0.4986 0.4990 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 0.4857 0.4890 0.4916 0.4936 0.4952 0.4964 0.4974 0.4981 0.4986 0.4990