Homework Help is Here – Start Your Trial Now!
Math
Statistics
To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. ..... (a) If x= 18.3 and s = 4.2, compute the test statistic. t= - 1.72 (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. B. C. (c) Approximate the P-value. Choose the correct range for the P-value below.

To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. ..... (a) If x= 18.3 and s = 4.2, compute the test statistic. t= - 1.72 (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. B. C. (c) Approximate the P-value. Choose the correct range for the P-value below.

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
See similar textbooks
icon
Related questions
Question

2

To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.3 and s = 4.2, compute the test statistic. t= - 1.72 (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. В. (c) Approximate the P-value. Choose the correct range for the P-value below.
Transcribed Image Text:To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.3 and s = 4.2, compute the test statistic. t= - 1.72 (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. В. (c) Approximate the P-value. Choose the correct range for the P-value below.
t-Distribution Arca in Right Tail 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 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 1.000 3.078 1.886 1.638 1.533 1.476 12.706 4.303 3.182 2.776 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.376 636.619 1 0.816 0.765 0.741 0.727 1.061 31.599 12.924 8,610 6.869 0.978 0.941 3 4 5 0.920 2571 0.718 0.711 0.706 0.703 0,700 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 0.906 3.143 2.998 2,896 2,821 2.764 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 0.896 0.889 7 8 1.383 1.372 9 0,883 0,879 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.497 3.428 3.372 3.326 3.286 11 0.697 0.876 1.088 1.363 1.356 1.350 1.345 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.106 4.025 4.437 11 0.695 0.694 0.692 0.691 0.873 0.870 0.868 1.083 1.079 1.076 1.074 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 1.782 1.771 1.761 1.753 3.055 3.012 2.977 4.318 4.221 4.140 12 13 13 14 14 15 0.866 1.341 2.947 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 3.686 3.646 1.071 1.069 1.067 1.066 1.064 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.746 1.740 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.252 3.222 3.197 3.174 3.153 16 17 0.688 0.688 0.687 18 1.734 2.878 3.610 3.579 3.552 18 1.729 1.725 2.861 2.845 19 19 20 20 0,859 0.858 0.858 0.57 0.856 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.721 1.717 2518 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 2.508 2.500 2.492 2.485 23 1.714 1.711 1.708 23 24 24 25 25 0,684 0.684 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.706 1.703 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.707 3.690 3.674 3.659 3.646 0.856 2.162 2.158 3.435 3.421 3.408 3.396 3.385 26 2.056 2.052 2.048 26 27 27 0,855 0.55 0.854 0.854 1.701 1.699 1.697 2.154 2.150 2.147 28 0.683 1.313 28 29 30 0.683 0.683 1.311 1.310 2.045 29 30 2.042 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 2.136 2.133 0.682 0.682 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 31 3.375 3.633 31 0.853 0.853 0.852 0.852 32 2.449 3.365 3.622 32 2.445 2.441 2.438 3.356 3.348 3.340 33 0.682 0.682 0.682 3.611 3.601 3.591 33 34 35 34 35 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0,851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 38 39 40 40 0.849 0,848 0.847 0,846 0.846 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 50 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 2.009 2.000 1.994 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 60 60 70 70 80 1.990 80 90 0,677 1.662 1.987 90 1.042 1.037 1.036 2.364 2.330 2.326 3.174 3.098 3.090 100 3.390 0.677 0.675 0.674 0.845 0.842 0,842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2,576 2.871 2.813 2.807 100 1000 3.300 1000 3.291 z 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
Transcribed Image Text:t-Distribution Arca in Right Tail 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 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 1.000 3.078 1.886 1.638 1.533 1.476 12.706 4.303 3.182 2.776 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.376 636.619 1 0.816 0.765 0.741 0.727 1.061 31.599 12.924 8,610 6.869 0.978 0.941 3 4 5 0.920 2571 0.718 0.711 0.706 0.703 0,700 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 0.906 3.143 2.998 2,896 2,821 2.764 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 0.896 0.889 7 8 1.383 1.372 9 0,883 0,879 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.497 3.428 3.372 3.326 3.286 11 0.697 0.876 1.088 1.363 1.356 1.350 1.345 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.106 4.025 4.437 11 0.695 0.694 0.692 0.691 0.873 0.870 0.868 1.083 1.079 1.076 1.074 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 1.782 1.771 1.761 1.753 3.055 3.012 2.977 4.318 4.221 4.140 12 13 13 14 14 15 0.866 1.341 2.947 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 3.686 3.646 1.071 1.069 1.067 1.066 1.064 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.746 1.740 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.252 3.222 3.197 3.174 3.153 16 17 0.688 0.688 0.687 18 1.734 2.878 3.610 3.579 3.552 18 1.729 1.725 2.861 2.845 19 19 20 20 0,859 0.858 0.858 0.57 0.856 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.721 1.717 2518 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 2.508 2.500 2.492 2.485 23 1.714 1.711 1.708 23 24 24 25 25 0,684 0.684 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.706 1.703 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.707 3.690 3.674 3.659 3.646 0.856 2.162 2.158 3.435 3.421 3.408 3.396 3.385 26 2.056 2.052 2.048 26 27 27 0,855 0.55 0.854 0.854 1.701 1.699 1.697 2.154 2.150 2.147 28 0.683 1.313 28 29 30 0.683 0.683 1.311 1.310 2.045 29 30 2.042 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 2.136 2.133 0.682 0.682 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 31 3.375 3.633 31 0.853 0.853 0.852 0.852 32 2.449 3.365 3.622 32 2.445 2.441 2.438 3.356 3.348 3.340 33 0.682 0.682 0.682 3.611 3.601 3.591 33 34 35 34 35 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0,851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 38 39 40 40 0.849 0,848 0.847 0,846 0.846 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 50 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 2.009 2.000 1.994 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 60 60 70 70 80 1.990 80 90 0,677 1.662 1.987 90 1.042 1.037 1.036 2.364 2.330 2.326 3.174 3.098 3.090 100 3.390 0.677 0.675 0.674 0.845 0.842 0,842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2,576 2.871 2.813 2.807 100 1000 3.300 1000 3.291 z 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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS