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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 (uo ≥ 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 D. 2.67 B. 7.54 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 (uo ≥ 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 D. 2.67 B. 7.54 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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Please answer items 35 to 37 asap. Answer in 32 to 24 is in the photo attached
32. State and Null and Alternative Hypotheses. H0:- uo<18 (average number of typhoons that enter the Philippines each year less 18.) H1: u₁>=18 (average number of typhoons that enter the Philippines each year at l 18.) 33. What is the level of confidence? As the level of significance is not given. Then we take it 0.05 in general. So confidence level will be 100*(1-a)% = 100*(1-0.05)% = 95% 34. What is the critical value? Hint: You will find it in the table for T-Test. Given that, sample size is n= 9 degrees of freedom = n-1 = 9-1 =8 t value at 8 df and 0.05 level of significance is 2.306. Critical value = 2.306.
Transcribed Image Text:32. State and Null and Alternative Hypotheses. H0:- uo<18 (average number of typhoons that enter the Philippines each year less 18.) H1: u₁>=18 (average number of typhoons that enter the Philippines each year at l 18.) 33. What is the level of confidence? As the level of significance is not given. Then we take it 0.05 in general. So confidence level will be 100*(1-a)% = 100*(1-0.05)% = 95% 34. What is the critical value? Hint: You will find it in the table for T-Test. Given that, sample size is n= 9 degrees of freedom = n-1 = 9-1 =8 t value at 8 df and 0.05 level of significance is 2.306. Critical value = 2.306.
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. 7.54 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. 0.1517 0.1879 0.2190 0.2224 0.2549 201 204 0.2642 0.2673 0.2881 0.2910 0.2939 0.2969 6.2022 DE 08 0.8 20 12215 0.9 1.0 0.3159 0.3186 0.3212 0.3238 0.3264 0.3413 0.3438 0.3461 0.3485 0.3508 0.3643 0.3849 0.3869 0.4049 1.3 1.3 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0190 0.0239 0.0279 0.0319 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 OF 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 8= 6.6500 0.7 0.2580 0.2611 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 5010 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.3289 0.3315 0.3340 0.3365 0.3389 0.3513 0.3554 0.3577 0.3529 0.3621 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 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 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 0.4783 2.0 0.4778 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 2.1 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 20 100% +4917 2.4 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 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 0.4978 0.4979 0.4979 0.4980 0.4981 0.4032 1.4 0.4192 0.4207 2.2 2.2 0.4890 14090 0.4916 2.8 0.4986 2.7 0.4965 0.4966 0.4967 28 0.4974 0.4975 0.4976 0.4977 0.4977 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 3.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 1.1 1.2 0.09 0.0359 0.0753 0.1141 0.4990 0.4993 0.4995 0.4997 0.4998
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 (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. 7.54 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. 0.1517 0.1879 0.2190 0.2224 0.2549 201 204 0.2642 0.2673 0.2881 0.2910 0.2939 0.2969 6.2022 DE 08 0.8 20 12215 0.9 1.0 0.3159 0.3186 0.3212 0.3238 0.3264 0.3413 0.3438 0.3461 0.3485 0.3508 0.3643 0.3849 0.3869 0.4049 1.3 1.3 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0190 0.0239 0.0279 0.0319 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 OF 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 8= 6.6500 0.7 0.2580 0.2611 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 5010 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.3289 0.3315 0.3340 0.3365 0.3389 0.3513 0.3554 0.3577 0.3529 0.3621 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 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 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 0.4783 2.0 0.4778 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 2.1 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 20 100% +4917 2.4 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 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 0.4978 0.4979 0.4979 0.4980 0.4981 0.4032 1.4 0.4192 0.4207 2.2 2.2 0.4890 14090 0.4916 2.8 0.4986 2.7 0.4965 0.4966 0.4967 28 0.4974 0.4975 0.4976 0.4977 0.4977 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 3.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 1.1 1.2 0.09 0.0359 0.0753 0.1141 0.4990 0.4993 0.4995 0.4997 0.4998
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