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A single sample T-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is 18 (μo ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 2018 (n = 9). The sample mean is x = 17. The sample standard deviation of s = 1.5. 32. State and Null and Alternative Hypotheses. 33. What is the level of confidence? 34. What is the critical value? Hint: You will find it in the table for T-Test. 35. Write the decision rule. 36. What is the equivalent T-score of x = 17? A. 1.5 C. -2.00 B. 7. D. 2.67 37. What is the conclusion to this problem after performing T-Test?

A single sample T-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is 18 (μo ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 2018 (n = 9). The sample mean is x = 17. The sample standard deviation of s = 1.5. 32. State and Null and Alternative Hypotheses. 33. What is the level of confidence? 34. What is the critical value? Hint: You will find it in the table for T-Test. 35. Write the decision rule. 36. What is the equivalent T-score of x = 17? A. 1.5 C. -2.00 B. 7. D. 2.67 37. What is the conclusion to this problem after performing T-Test?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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cum. prob one-tail two-tails 4 5 7 8 9 t.50 0.50 1.00 10 11 12 13 t.75 t.80 0.25 0.20 0.50 0.40 0.000 0.678 0.000 0.677 0.000 0.675 0.000 0% df 1 0.000 3.078 1.886 6.314 12.71 31.82 2.920 4.303 6.965 63.66 318.31 636.62 9.925 22.327 31.599 12.924 8.610 0.000 0.000 0.741 0.727 0.718 0.000 1.000 1.376 1.963 2 0.000 0.816 1.061 1.386 3 0.000 0.765 0.978 1.250 1.638 2.353 3.182 4.541 5.841 10.215 0.941 1.190 1.533 2.132 2.776 3.747 4.604 7.173 0.920 1.156 1.476 2.015 2.571 3.365 4.032 5.893 6.869 0.906 1.134 1.440 1.943 2.447 3.143 3.707 5.208 5.959 0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408 0.889 1.108 1.397 1.860 2.306 2.896 3.355 4.501 5.041 1.100 1.383 1.833 2.262 2.821 3.250 4.297 4.781 1.093 1.372 1.812 2.228 2.764 3.169 4.144 4.587 1.088 1.363 1.796 2.201 2.718 3.106 4.025 1.083 1.356 1.782 2.179 2.681 3.055 3.930 1.079 1.350 1.771 2.160 0.000 0.711 0.000 0.706 0.000 0.703 0.883 0.000 0.700 0.879 0.000 0.697 0.876 4.437 0.000 0.695 0.873 4.318 0.000 0.694 0.870 2.650 3.012 3.852 4.221 14 0.000 0.692 0.868 1.076 1.345 2.977 3.787 4.140 15 0.000 0.691 0.866 1.074 1.341 1.753 2.131 2.947 3.733 4.073 16 0.000 0.690 0.865 1.071 1.337 4.015 17 0.000 0.689 0.863 1.069 1.333 3.965 18 0.000 0.688 0.862 1.067 2.878 3.610 3.922 2.861 3.579 19 3.883 3.552 3.850 3.527 3.819 3.505 3.792 23 3.485 3.768 24 3.467 3.745 3.450 3.725 1.761 2.145 2.624 2.602 1.746 2.120 2.583 2.921 3.686 1.740 2.110 2.567 2.898 3.646 1.330 1.734 2.101 2.552 0.000 0.688 0.861 1.066 1.328 1.729 2.093 2.539 20 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845 21 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 22 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819 0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 0.000 0.685 0.857 1.059 1.318 1.711 2.064 2.492 2.797 25 0.000 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787 26 0.000 0.684 0.856 1.058 1.315 1.706 2.056 2.479 27 0.000 0.684 0.855 1.057 1.314 1.703 2.052 2.473 28 0.000 0.683 0.855 1.056 1.313 1.701 2.048 2.467 2.763 0.683 0.854 1.055 1.311 1.699 2.045 2.462 2.756 0.683 1.310 1.697 2.042 2.457 2.750 3.385 1.303 1.684 2.021 2.423 2.704 3.307 1.296 1.671 2.000 2.390 2.660 3.232 1.292 1.664 1.990 2.374 2.639 3.195 1.660 1.984 2.364 2.626 3.174 2.330 2.581 3.098 2.326 2.576 3.090 3.291 98% 99% 99.8% 99.9% 2.779 3.435 2.771 3.421 3.408 29 0.000 3.396 30 0.000 0.854 1.055 40 0.000 0.681 0.851 1.050 60 0.000 0.679 0.848 1.045 0.846 1.043 80 100 0.845 1.042 1.290 1000 0.842 1.037 1.282 1.646 1.962 Z t-test table 0.674 0.842 50% 60% t.85 t.90 0.15 0.10 0.30 0.20 t 95 t.975 0.05 0.025 0.10 0.05 1.036 70% 1.282 1.645 80% 90% Confidence Level t.99 0.01 0.02 1.960 95% t 999 t 9995 t.995 0.005 0.001 0.0005 0.01 0.002 0.001 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.416 3.390 3.300
Transcribed Image Text:cum. prob one-tail two-tails 4 5 7 8 9 t.50 0.50 1.00 10 11 12 13 t.75 t.80 0.25 0.20 0.50 0.40 0.000 0.678 0.000 0.677 0.000 0.675 0.000 0% df 1 0.000 3.078 1.886 6.314 12.71 31.82 2.920 4.303 6.965 63.66 318.31 636.62 9.925 22.327 31.599 12.924 8.610 0.000 0.000 0.741 0.727 0.718 0.000 1.000 1.376 1.963 2 0.000 0.816 1.061 1.386 3 0.000 0.765 0.978 1.250 1.638 2.353 3.182 4.541 5.841 10.215 0.941 1.190 1.533 2.132 2.776 3.747 4.604 7.173 0.920 1.156 1.476 2.015 2.571 3.365 4.032 5.893 6.869 0.906 1.134 1.440 1.943 2.447 3.143 3.707 5.208 5.959 0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408 0.889 1.108 1.397 1.860 2.306 2.896 3.355 4.501 5.041 1.100 1.383 1.833 2.262 2.821 3.250 4.297 4.781 1.093 1.372 1.812 2.228 2.764 3.169 4.144 4.587 1.088 1.363 1.796 2.201 2.718 3.106 4.025 1.083 1.356 1.782 2.179 2.681 3.055 3.930 1.079 1.350 1.771 2.160 0.000 0.711 0.000 0.706 0.000 0.703 0.883 0.000 0.700 0.879 0.000 0.697 0.876 4.437 0.000 0.695 0.873 4.318 0.000 0.694 0.870 2.650 3.012 3.852 4.221 14 0.000 0.692 0.868 1.076 1.345 2.977 3.787 4.140 15 0.000 0.691 0.866 1.074 1.341 1.753 2.131 2.947 3.733 4.073 16 0.000 0.690 0.865 1.071 1.337 4.015 17 0.000 0.689 0.863 1.069 1.333 3.965 18 0.000 0.688 0.862 1.067 2.878 3.610 3.922 2.861 3.579 19 3.883 3.552 3.850 3.527 3.819 3.505 3.792 23 3.485 3.768 24 3.467 3.745 3.450 3.725 1.761 2.145 2.624 2.602 1.746 2.120 2.583 2.921 3.686 1.740 2.110 2.567 2.898 3.646 1.330 1.734 2.101 2.552 0.000 0.688 0.861 1.066 1.328 1.729 2.093 2.539 20 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845 21 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 22 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819 0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 0.000 0.685 0.857 1.059 1.318 1.711 2.064 2.492 2.797 25 0.000 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787 26 0.000 0.684 0.856 1.058 1.315 1.706 2.056 2.479 27 0.000 0.684 0.855 1.057 1.314 1.703 2.052 2.473 28 0.000 0.683 0.855 1.056 1.313 1.701 2.048 2.467 2.763 0.683 0.854 1.055 1.311 1.699 2.045 2.462 2.756 0.683 1.310 1.697 2.042 2.457 2.750 3.385 1.303 1.684 2.021 2.423 2.704 3.307 1.296 1.671 2.000 2.390 2.660 3.232 1.292 1.664 1.990 2.374 2.639 3.195 1.660 1.984 2.364 2.626 3.174 2.330 2.581 3.098 2.326 2.576 3.090 3.291 98% 99% 99.8% 99.9% 2.779 3.435 2.771 3.421 3.408 29 0.000 3.396 30 0.000 0.854 1.055 40 0.000 0.681 0.851 1.050 60 0.000 0.679 0.848 1.045 0.846 1.043 80 100 0.845 1.042 1.290 1000 0.842 1.037 1.282 1.646 1.962 Z t-test table 0.674 0.842 50% 60% t.85 t.90 0.15 0.10 0.30 0.20 t 95 t.975 0.05 0.025 0.10 0.05 1.036 70% 1.282 1.645 80% 90% Confidence Level t.99 0.01 0.02 1.960 95% t 999 t 9995 t.995 0.005 0.001 0.0005 0.01 0.002 0.001 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.416 3.390 3.300
A single sample T-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is 18 (μ ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 2018 (n = 9). The sample mean is = 17. The sample standard deviation of s = 1.5. 32. State and Null and Alternative Hypotheses. 33. What is the level of confidence? 34. What is the critical value? Hint: You will find it in the table for T-Test. 35. Write the decision rule. 36. What is the equivalent T-score of x = 17? A. 1.5 B. 7.54 C. -2.00 D. 2.67 37. What is the conclusion to this problem after performing T-Test? STANDARD NORMAL TABLE (Z) Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z= 1.25 the area under the curve between the mean (0) and z is 0.3944. 0.05 0.0190 0.09 0.1879 0.2224 Z 0.00 0.01 0.02 0.03 0.04 0.06 0.07 0.08 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.5 0.19 0.1950 0.1985 0.2019 0.2054 0.2 0.2123 0.2157 0.2190 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2969 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 3.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 2.4
Transcribed Image Text:A single sample T-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is 18 (μ ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 2018 (n = 9). The sample mean is = 17. The sample standard deviation of s = 1.5. 32. State and Null and Alternative Hypotheses. 33. What is the level of confidence? 34. What is the critical value? Hint: You will find it in the table for T-Test. 35. Write the decision rule. 36. What is the equivalent T-score of x = 17? A. 1.5 B. 7.54 C. -2.00 D. 2.67 37. What is the conclusion to this problem after performing T-Test? STANDARD NORMAL TABLE (Z) Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z= 1.25 the area under the curve between the mean (0) and z is 0.3944. 0.05 0.0190 0.09 0.1879 0.2224 Z 0.00 0.01 0.02 0.03 0.04 0.06 0.07 0.08 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.5 0.19 0.1950 0.1985 0.2019 0.2054 0.2 0.2123 0.2157 0.2190 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2969 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 3.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 2.4
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