Homework Help is Here – Start Your Trial Now!
Math
Statistics
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? O A. No, because the test is two-tailed. OB. No, because n ≥ 30. OC. Yes, because n ≥ 30. OD. Yes, because the sample is random.

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? O A. No, because the test is two-tailed. OB. No, because n ≥ 30. OC. Yes, because n ≥ 30. OD. Yes, because the sample is random.

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
df 0.25 0.20 0.15 0.10 0.05 3.078 6.314 1.886 2.920 1.638 2.353 1.533 2.132 1.156 1.476 2.015 1.134 1.440 1.943 4.029 3.833 3.690 3.581 3.497 3.428 3.372 2.145 2.264 2.624 2.977 3.326 2.131 2.249 2.602 2.947 3.286 2.120 2.235 2.583 2.921 1 1.000 1.376 1.963 2 0.816 1.061 1.386 3 0.765 0.978 1.250 4 0.741 0.941 1.190 5 0.727 0.920 6 0.718 0.906 2.447 2.612 3.143 3.707 4.317 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 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 15 0.691 0.866 1.074 1.341 1.753 16 0.690 0,865 1.071 1.337 1.746 0.863 1.069 1.333 1.740 2.110 0.862 1.067 1.330 1.734 2.101 2.214 2.552 1.066 1.328 1.729 2.093 2.205 2.539 2.861 1.064 1.325 1.725 2.086 2.197 2.528 2.845 1.063 1.323 1.721 2.080 2.189 2518 2.831 1.061 1.321 1.717 2.074 1.060 1.319 1.714 2.069 2.177 2.500 1.059 1.318 1.711 2.064 2.172 2.492 1.058 1.316 1.708 2,060 2.167 2.485 2.787 1.058 1.315 1.706 2.056 2.162 2.479 2.779 1.057 1.314 1.703 2.052 2.158 2.473 2.771 1.056 1.313 1.701 2.048 2.154 2.467 2.763 1.055 1.311 1.699 2.045 2.150 2.462 2.756 1.055 1.310 1.697 2.042 2.147 2.457 2.750 1.054 2,040 2.144 2.453 2.744 3.022 1.054 1.309 2.141 2.224 2.567 2.898 2.878 2.183 2.508 2.819 2.807 2.797 17 0.689 18 0.688 19 0.688 0.861 0.687 0.860 0.686 0.859 0.686 0.858 0.685 0.858 0.685 0.857 0.684 0.856 0.684 0.856 0.684 0.855 0.683 0.855 0.683 0.854 0.683 0.854 0.853 0.853 1.309 1.696 1.694 2.037 2.449 2.738 3.015 2.035 2.445 2.733 1.307 1.691 1.306 1.690 35 36 0.681 37 0.681 38 0.681 0.682 0.853 0.682 0.852 0.682 0.852 0.852 0.851 0.851 2.138 2.136 2.441 2.728 2.133 2.438 2.724 2.131 2.129 2.431 2.715 2.127 2.429 2.712 2.125 2.426 2.708 1.053 1.308 1.692 1.052 2.032 1.052 2.030 1.052 1.306 1.688 2.028 1.051 1.305 1.687 2.026 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 50 0.679 0.849 1.047 1.299 1.676 60 0.679 0.848 1.045 70 0.678 0.847 1.044 8O 0.678 0.846 1.043 90 0.677 0.846 1.042 1291 100 1000 2.021 2.123 2.423 2.704 2.009 2.000 1.296 1.671 1.294 1.667 1.994 1.292 1.664 1.990 0.677 0.845 1.042 1.290 0.675 0.842 1.037 1.282 0.674 0.842 1.036 1.282 0.25 0.20 0.15 678920 2123425 267890 HSBH5 跖初粥期 30 31 0.682 32 0.682 1-Distribution Area in Right Tail df 0.025 0.02 12.706 15.894 4.303 4.849 3.182 2.776 2.571 0.01 0.005 0.0025 0.001 31.821 63.657 127.321 318.309 6.965 9,925 14.089 22.327 3.482 4.541 5.841 7.453 2.999 3.747 4.604 2.757 3.365 4.032 5.598 4.773 2.109 2.099 2.403 2.678 2.390 2.660 2.093 2.381 2.648 2.088 2.374 2.639 2.368 2.632 1.662 1.987 2.084 1.660 1.646 1.645 0.10 0.05 0.025 1.984 2.081 1.962 2.056 1.960 2.054 0.02 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 3.008 3.002 2.996 2.434 2.719 2.990 2.985 3.252 3.222 3.197 3.610 3.174 3.579 3.153 3.552 2.980 2.976 2.971 2.937 2.915 2.899 2.887 2.878 10.215 7.173 5.893 2.364 2.626 2.871 2.330 2.581 2.813 2.326 2.576 2.807 0.01 0.005 0.0025 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.527 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 3.183 3.174 3.098 3.090 0.001 0.0005 df 636.619 1 31.599 2 12.924 3 8.610 4 6.869 5 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 3.819 3.792 3.768 4.015 16 3.965 17 3.922 18 19 3.883 3.850 20 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 6 7 8 9 3.566 10 11 12 13 14 15 12BU5 SYSNA HRBUS 跖初粥 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 3.558 39 3.551 40 3.496 50 3.460 60 3.435 70 3.416 20 3.402 90 3.390 100 3.300 1000 3.291 z 0.0005df
Transcribed Image Text:df 0.25 0.20 0.15 0.10 0.05 3.078 6.314 1.886 2.920 1.638 2.353 1.533 2.132 1.156 1.476 2.015 1.134 1.440 1.943 4.029 3.833 3.690 3.581 3.497 3.428 3.372 2.145 2.264 2.624 2.977 3.326 2.131 2.249 2.602 2.947 3.286 2.120 2.235 2.583 2.921 1 1.000 1.376 1.963 2 0.816 1.061 1.386 3 0.765 0.978 1.250 4 0.741 0.941 1.190 5 0.727 0.920 6 0.718 0.906 2.447 2.612 3.143 3.707 4.317 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 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 15 0.691 0.866 1.074 1.341 1.753 16 0.690 0,865 1.071 1.337 1.746 0.863 1.069 1.333 1.740 2.110 0.862 1.067 1.330 1.734 2.101 2.214 2.552 1.066 1.328 1.729 2.093 2.205 2.539 2.861 1.064 1.325 1.725 2.086 2.197 2.528 2.845 1.063 1.323 1.721 2.080 2.189 2518 2.831 1.061 1.321 1.717 2.074 1.060 1.319 1.714 2.069 2.177 2.500 1.059 1.318 1.711 2.064 2.172 2.492 1.058 1.316 1.708 2,060 2.167 2.485 2.787 1.058 1.315 1.706 2.056 2.162 2.479 2.779 1.057 1.314 1.703 2.052 2.158 2.473 2.771 1.056 1.313 1.701 2.048 2.154 2.467 2.763 1.055 1.311 1.699 2.045 2.150 2.462 2.756 1.055 1.310 1.697 2.042 2.147 2.457 2.750 1.054 2,040 2.144 2.453 2.744 3.022 1.054 1.309 2.141 2.224 2.567 2.898 2.878 2.183 2.508 2.819 2.807 2.797 17 0.689 18 0.688 19 0.688 0.861 0.687 0.860 0.686 0.859 0.686 0.858 0.685 0.858 0.685 0.857 0.684 0.856 0.684 0.856 0.684 0.855 0.683 0.855 0.683 0.854 0.683 0.854 0.853 0.853 1.309 1.696 1.694 2.037 2.449 2.738 3.015 2.035 2.445 2.733 1.307 1.691 1.306 1.690 35 36 0.681 37 0.681 38 0.681 0.682 0.853 0.682 0.852 0.682 0.852 0.852 0.851 0.851 2.138 2.136 2.441 2.728 2.133 2.438 2.724 2.131 2.129 2.431 2.715 2.127 2.429 2.712 2.125 2.426 2.708 1.053 1.308 1.692 1.052 2.032 1.052 2.030 1.052 1.306 1.688 2.028 1.051 1.305 1.687 2.026 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 50 0.679 0.849 1.047 1.299 1.676 60 0.679 0.848 1.045 70 0.678 0.847 1.044 8O 0.678 0.846 1.043 90 0.677 0.846 1.042 1291 100 1000 2.021 2.123 2.423 2.704 2.009 2.000 1.296 1.671 1.294 1.667 1.994 1.292 1.664 1.990 0.677 0.845 1.042 1.290 0.675 0.842 1.037 1.282 0.674 0.842 1.036 1.282 0.25 0.20 0.15 678920 2123425 267890 HSBH5 跖初粥期 30 31 0.682 32 0.682 1-Distribution Area in Right Tail df 0.025 0.02 12.706 15.894 4.303 4.849 3.182 2.776 2.571 0.01 0.005 0.0025 0.001 31.821 63.657 127.321 318.309 6.965 9,925 14.089 22.327 3.482 4.541 5.841 7.453 2.999 3.747 4.604 2.757 3.365 4.032 5.598 4.773 2.109 2.099 2.403 2.678 2.390 2.660 2.093 2.381 2.648 2.088 2.374 2.639 2.368 2.632 1.662 1.987 2.084 1.660 1.646 1.645 0.10 0.05 0.025 1.984 2.081 1.962 2.056 1.960 2.054 0.02 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 3.008 3.002 2.996 2.434 2.719 2.990 2.985 3.252 3.222 3.197 3.610 3.174 3.579 3.153 3.552 2.980 2.976 2.971 2.937 2.915 2.899 2.887 2.878 10.215 7.173 5.893 2.364 2.626 2.871 2.330 2.581 2.813 2.326 2.576 2.807 0.01 0.005 0.0025 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.527 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 3.183 3.174 3.098 3.090 0.001 0.0005 df 636.619 1 31.599 2 12.924 3 8.610 4 6.869 5 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 3.819 3.792 3.768 4.015 16 3.965 17 3.922 18 19 3.883 3.850 20 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 6 7 8 9 3.566 10 11 12 13 14 15 12BU5 SYSNA HRBUS 跖初粥 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 3.558 39 3.551 40 3.496 50 3.460 60 3.435 70 3.416 20 3.402 90 3.390 100 3.300 1000 3.291 z 0.0005df
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. O D. Yes, because the sample is random.
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. O D. Yes, because the sample is random.
Expert Solution
Step 1: Define the concept central limit theorem

Central limit theorem:

If the size of the samples taken from the population are sufficiently large (>30) then the mean of all the samples taken would be approximately same as the population mean. 

The conditions are,

  1. The population is normal.
  2. The sample size is≥ 30.
  3.  If the original population doesn’t’ follows normality, for the large n, the sample mean also follows normality.
  4. The formula of the standard deviation of sampling distribution is σ/√n if n is large even though population does not follows normality.

.

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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