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To test H9: u= 105 versus H,: u# 105 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. O B. Yes, because n2 30. OC. No, because the test is two-tailed. O D. Yes, because the sample is random. (b) If x= 102.0 and s= 5.8, compute the test statistic. The test statistic is to (Round to two decimal places as needed.)

To test H9: u= 105 versus H,: u# 105 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. O B. Yes, because n2 30. OC. No, because the test is two-tailed. O D. Yes, because the sample is random. (b) If x= 102.0 and s= 5.8, compute the test statistic. The test statistic is to (Round to two decimal places as needed.)

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
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To test Ho: u= 105 versus H,: µ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. O B. Yes, because n2 30. O C. No, because the test is two-tailed. O D. Yes, because the sample is random. (b) lf x= 102.0 and s = 5.8, compute the test statistic. The test statistic is to =| (Round to two decimal places as needed.)
Transcribed Image Text:To test Ho: u= 105 versus H,: µ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. O B. Yes, because n2 30. O C. No, because the test is two-tailed. O D. Yes, because the sample is random. (b) lf x= 102.0 and s = 5.8, compute the test statistic. The test statistic is to =| (Round to two decimal places as needed.)
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(e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O No
Transcribed Image Text:(e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O No
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Follow-up Question
Interpret the P-value. Choose the correct answer below. A. If 100 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. B. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. C. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 102.0. D. If 1000 random samples of size n = 35 are obtained, about 10 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105.
Transcribed Image Text:Interpret the P-value. Choose the correct answer below. A. If 100 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. B. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. C. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 102.0. D. If 1000 random samples of size n = 35 are obtained, about 10 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105.
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Follow-up Question
Interpret the P-value. Choose the correct answer below. A. If 100 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. B. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. C. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ D. If 1000 random samples of size n = 35 are obtained, about 10 samples are expected to result in a mean as extreme or more extreme than the one observed if = 102.0. = 105.
Transcribed Image Text:Interpret the P-value. Choose the correct answer below. A. If 100 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. B. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ = 105. C. If 1000 random samples of size n = 35 are obtained, about 4 samples are expected to result in a mean as extreme or more extreme than the one observed if μ D. If 1000 random samples of size n = 35 are obtained, about 10 samples are expected to result in a mean as extreme or more extreme than the one observed if = 102.0. = 105.
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Follow-up Question
To test Ho: μ = 105 versus H₁: μ‡ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (b) If x= 102.0 and s=5.7, compute the test statistic. = The test statistic is to (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A. -3.11. (Round to two decimal places as needed.) (d) Approximate the P-value. Choose the correct answer below. A. 0.01 < P-value < 0.02 B. 0.005 < P-value < 0.01 C. 0.001 < P-value < 0.002 D. 0.002 < P-value < 0.005 B. W 17
Transcribed Image Text:To test Ho: μ = 105 versus H₁: μ‡ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (b) If x= 102.0 and s=5.7, compute the test statistic. = The test statistic is to (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A. -3.11. (Round to two decimal places as needed.) (d) Approximate the P-value. Choose the correct answer below. A. 0.01 < P-value < 0.02 B. 0.005 < P-value < 0.01 C. 0.001 < P-value < 0.002 D. 0.002 < P-value < 0.005 B. W 17
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Follow-up Question
To test Ho: μ = 105 versus H₁: μ‡ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because the test is two-tailed. B. No, because n ≥ 30. C. Yes, because n ≥ 30. D. Yes, because the sample is random. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to = -3.11. (Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A. B. C. ند
Transcribed Image Text:To test Ho: μ = 105 versus H₁: μ‡ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because the test is two-tailed. B. No, because n ≥ 30. C. Yes, because n ≥ 30. D. Yes, because the sample is random. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to = -3.11. (Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A. B. C. ند
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Follow-up Question
To test Ho: μ = 105 versus H₁: μ‡ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because the test is two-tailed. B. No, because n ≥ 30. C. Yes, because n ≥ 30. D. Yes, because the sample is random. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to =. (Round to two decimal places as needed.)
Transcribed Image Text:To test Ho: μ = 105 versus H₁: μ‡ 105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because the test is two-tailed. B. No, because n ≥ 30. C. Yes, because n ≥ 30. D. Yes, because the sample is random. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to =. (Round to two decimal places as needed.)
10/15/23, 8:58 AM 6 7 8 9 df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 1 2 3 4 7.173 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 3 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 8.610 5 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 2.447 2.612 3.143 3.707 2.365 2.517 2.998 3.499 2.306 2.449 2.896 3.355 4.773 5.893 6.869 5 2.398 2.821 3.250 3.690 2.359 2.764 3.169 3.581 0.718 0.906 1.134 1.440 1.943 0.711 0.896 1.119 1.415 1.895 0.706 0.889 1.108 1.397 1.860 0.703 0.883 1.100 1.383 1.833 2.262 0.700 0.879 1.093 1.372 1.812 2.228 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 1.071 1.337 1.746 2.120 1.069 1.333 1.740 2.110 1.067 1.330 1.734 2.101 0.688 0.861 1.066 1.328 1.729 2.093 20 0.687 0.860 1.064 1.325 1.725 2.086 1.323 1.721 2.080 1.321 1.717 2.074 2.183 2.508 2.819 1.319 1.714 2.069 2.177 2.500 2.807 1.318 1.711 2.064 2.172 2.492 2.797 1.316 1.708 2.060 2.167 2.485 16 0.690 0.865 17 0.689 0.863 18 0.688 0.862 19 2.189 2518 2.831 27 2.453 2.744 2.141 2.449 2.738 2.138 2.445 2.733 21 0.686 0.859 1.063 0.686 0.858 1.061 0.685 0.858 1.060 0.685 0.857 1.059 0.684 0.856 1.058 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 31 0.682 0.853 1.054 1.309 1.696 2,040 2.144 0.682 0.853 1.054 1.309 1.694 2.037 33 0.682 0.853 1.053 1.308 1.692 2.035 34 0.682 0.852 1.052 1.307 1.691 2.032 0.682 0.852 1.052 1.306 1.690 2.030 36 0.681 0.852 1.052 1.306 1.688 2.028 37 0.681 0.851 1.051 1.305 1.687 2.026 38 0.681 0.851 1.051 1.304 1.686 2.024 39 0.681 0.851 1.050 1.304 1.685 2.023 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 90 0.677 0.846 1.042 1.291 1.662 1.987 1.984 1.962 1.960 2.136 2.441 2.728 2.133 2.438 2.131 2.434 2.129 2.431 2.715 2.127 2.429 2.712 2.125 2.426 2.708 2.678 2.660 2.374 2.639 2.368 2.632 2.364 2.626 2.084 2.081 2.056 2.330 2.581 100 1000 3.174 0.677 0.845 1.042 1.290 1.660 0.675 0.842 1.037 1.282 1.646 0.674 0.842 1.036 1.282 1.645 2.871 2.813 3.098 z 2.054 2.326 2.576 2.807 3.090 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.005 0.0025 0.001 10 1233485828 52232 $582= &822 t-Distribution Area in Right Tail df 2.235 2.583 2.921 2.224 2.567 2.898 2.214 2.552 2.878 2.205 2.539 2.861 2.197 2.528 2.845 0.02 4.317 4.029 3.833 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 2.787 3.078 3.067 2.779 2.771 2.763 3.047 3.057 2.756 3.038 2.750 3.030 3.022 3.015 3.008 3.002 2.996 2.724 2.719 2.990 2.985 2.980 2.976 2.971 t-Distribution Area in Right Tail 2.937 2.915 2.899 2.887 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.435 3.421 3.408 3.396 3.385 3.375 3.365 3.356 3.348 3.340 3.333 3.326 3.319 3.313 3.307 3.261 3.232 3.211 3.195 2.878 3.183 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3.496 3.460 3.435 3.416 3.402 ***SENDEN SEA28 58830×6888 =ARZA $5AAS 8888 88 3.390 3.300 1000 3.291 z 0.0005 df
Transcribed Image Text:10/15/23, 8:58 AM 6 7 8 9 df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 1 2 3 4 7.173 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 3 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 8.610 5 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 2.447 2.612 3.143 3.707 2.365 2.517 2.998 3.499 2.306 2.449 2.896 3.355 4.773 5.893 6.869 5 2.398 2.821 3.250 3.690 2.359 2.764 3.169 3.581 0.718 0.906 1.134 1.440 1.943 0.711 0.896 1.119 1.415 1.895 0.706 0.889 1.108 1.397 1.860 0.703 0.883 1.100 1.383 1.833 2.262 0.700 0.879 1.093 1.372 1.812 2.228 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 1.071 1.337 1.746 2.120 1.069 1.333 1.740 2.110 1.067 1.330 1.734 2.101 0.688 0.861 1.066 1.328 1.729 2.093 20 0.687 0.860 1.064 1.325 1.725 2.086 1.323 1.721 2.080 1.321 1.717 2.074 2.183 2.508 2.819 1.319 1.714 2.069 2.177 2.500 2.807 1.318 1.711 2.064 2.172 2.492 2.797 1.316 1.708 2.060 2.167 2.485 16 0.690 0.865 17 0.689 0.863 18 0.688 0.862 19 2.189 2518 2.831 27 2.453 2.744 2.141 2.449 2.738 2.138 2.445 2.733 21 0.686 0.859 1.063 0.686 0.858 1.061 0.685 0.858 1.060 0.685 0.857 1.059 0.684 0.856 1.058 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 31 0.682 0.853 1.054 1.309 1.696 2,040 2.144 0.682 0.853 1.054 1.309 1.694 2.037 33 0.682 0.853 1.053 1.308 1.692 2.035 34 0.682 0.852 1.052 1.307 1.691 2.032 0.682 0.852 1.052 1.306 1.690 2.030 36 0.681 0.852 1.052 1.306 1.688 2.028 37 0.681 0.851 1.051 1.305 1.687 2.026 38 0.681 0.851 1.051 1.304 1.686 2.024 39 0.681 0.851 1.050 1.304 1.685 2.023 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 90 0.677 0.846 1.042 1.291 1.662 1.987 1.984 1.962 1.960 2.136 2.441 2.728 2.133 2.438 2.131 2.434 2.129 2.431 2.715 2.127 2.429 2.712 2.125 2.426 2.708 2.678 2.660 2.374 2.639 2.368 2.632 2.364 2.626 2.084 2.081 2.056 2.330 2.581 100 1000 3.174 0.677 0.845 1.042 1.290 1.660 0.675 0.842 1.037 1.282 1.646 0.674 0.842 1.036 1.282 1.645 2.871 2.813 3.098 z 2.054 2.326 2.576 2.807 3.090 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.005 0.0025 0.001 10 1233485828 52232 $582= &822 t-Distribution Area in Right Tail df 2.235 2.583 2.921 2.224 2.567 2.898 2.214 2.552 2.878 2.205 2.539 2.861 2.197 2.528 2.845 0.02 4.317 4.029 3.833 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 2.787 3.078 3.067 2.779 2.771 2.763 3.047 3.057 2.756 3.038 2.750 3.030 3.022 3.015 3.008 3.002 2.996 2.724 2.719 2.990 2.985 2.980 2.976 2.971 t-Distribution Area in Right Tail 2.937 2.915 2.899 2.887 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.435 3.421 3.408 3.396 3.385 3.375 3.365 3.356 3.348 3.340 3.333 3.326 3.319 3.313 3.307 3.261 3.232 3.211 3.195 2.878 3.183 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3.496 3.460 3.435 3.416 3.402 ***SENDEN SEA28 58830×6888 =ARZA $5AAS 8888 88 3.390 3.300 1000 3.291 z 0.0005 df
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