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To test Hg: = 60 versus H,: u<60, a random sample of size n= 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. | Click here to view the t-Distribution Area in Right Tail. (0) # x = 56.5 and s = 14.5, compute the test statistic. 6 =O Round to three decimal places as needed) (6) F the researcher decides to test this hypothesis at the a=0.05 lvel of significance, determine the crtical value(s). Athough technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Crtical Value: O (Round to three decimal places. Use a comma to separate answers as needed ) (c) Draw atdistribution that depicts the critical region. Choose the corect answer below. OA. OB. Oc. (d) Will the researcher reject the null hypothesis? O A. Yes, because the test statistic falls in the critical region. OB. Yes, because the test statistic does not fall in the critical region. OC. No, because the test statistic does not fall in the critical region. OD. No, because the test statistic falls in the critical region.

To test Hg: = 60 versus H,: u<60, a random sample of size n= 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. | Click here to view the t-Distribution Area in Right Tail. (0) # x = 56.5 and s = 14.5, compute the test statistic. 6 =O Round to three decimal places as needed) (6) F the researcher decides to test this hypothesis at the a=0.05 lvel of significance, determine the crtical value(s). Athough technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Crtical Value: O (Round to three decimal places. Use a comma to separate answers as needed ) (c) Draw atdistribution that depicts the critical region. Choose the corect answer below. OA. OB. Oc. (d) Will the researcher reject the null hypothesis? O A. Yes, because the test statistic falls in the critical region. OB. Yes, because the test statistic does not fall in the critical region. OC. No, because the test statistic does not fall in the critical region. OD. No, because the test statistic falls in the critical region.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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To test Upper H 0​: mu equals 60 versus Upper H 1​: mu less than60​, a random sample of size N equals 25 is obtained from a population that is known to be normally distributed. Complete parts​ (a) through​ (d) below.

To test H,: µ= 60 versus H,: p < 60, a random sample of size n= 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. E Click here to view the t-Distribution Area in Right Tail. (a) If x = 56.5 and s = 14.5, compute the test statistic. tn = (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. O A. O B. OC. ta -t12 (d) Will the researcher reject the null hypothesis? O A. Yes, because the test statistic falls in the critical region. O B. Yes, because the test statistic does not fall in the critical region. O C. No, because the test statistic does not fall in the critical region. O D. No, because the test statistic falls in the critical region.
Transcribed Image Text:To test H,: µ= 60 versus H,: p < 60, a random sample of size n= 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. E Click here to view the t-Distribution Area in Right Tail. (a) If x = 56.5 and s = 14.5, compute the test statistic. tn = (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. O A. O B. OC. ta -t12 (d) Will the researcher reject the null hypothesis? O A. Yes, because the test statistic falls in the critical region. O B. Yes, because the test statistic does not fall in the critical region. O C. No, because the test statistic does not fall in the critical region. O D. No, because the test statistic falls in the critical region.
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 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 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.978 0.941 1.250 1.190 1.638 1.533 2.353 2.132 10.215 7.173 3 0.765 0.741 5 0.727 3.182 2.776 3.482 2.999 4.541 3.747 5.841 4.604 4.032 7.453 5.598 12.924 8.610 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.773 5.893 6.869 6. 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.896 0.889 2.517 2.449 4.029 3.833 3.690 7 0.711 0.706 1.119 1.108 1.415 1.397 1.895 1.860 2.365 2.306 2.998 2.896 3.499 3.355 4.785 4.501 5.408 5.041 2.821 4.781 4.587 0.703 0.883 1.100 1.383 1.833 2.262 2.228 2.398 3.250 4.297 10 0.700 0.879 1.093 1.372 1.812 2.359 2.764 3.169 3.581 4.144 11 0.697 0.876 1.363 1.356 1.079 1.350 1.088 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 1.782 1.771 1.083 12 13 0.695 0.694 0.873 0.870 2.179 2.160 2.303 2.282 2.681 2.650 3.055 3.012 2.977 3.428 3.372 3.930 3.852 3.787 4.318 4.221 4.140 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 3.326 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 17 0.690 0.689 0.865 0.863 0.862 1.071 1.337 1.069 1.333 1.746 1.740 2.120 2.110 2.235 2.224 2.583 2.567 2.921 2.898 3.252 3.222 3.686 3.646 4.015 3.965 18 0.688 1.067 1.066 1.330 1.328 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 0.688 0.687 2.539 3.579 3.552 19 0.861 1.729 2.093 2.205 2.861 3.174 3.883 20 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.850 21 22 0.686 0.686 0.859 0.858 1.063 1.061 1.323 1.321 1.721 1.717 2.080 2.074 2.189 2.183 2.518 2.508 2.831 2.819 3.135 3.119 3.527 3,505 3.485 3.467 3.819 3.792 1.319 1.318 3.104 3.091 3.078 23 0.685 0.685 0.684 0.858 1.060 1.714 2.069 2.177 2.500 2.807 3.768 1.711 1.708 24 0.857 1.059 2.064 2.172 2.492 2.797 3.745 25 0.856 1.058 1.316 2.060 2.167 2.485 2.787 3.450 3.725 26 0.684 0.856 1.058 1.315 1.706 2.056 3.435 3.707 2.162 2.158 2.479 2.779 3.067 0.684 0.683 27 0.855 1.057 1.314 2.473 1.703 1.701 2.052 2.771 3.057 3.421 3.690 28 0.855 1.056 1.313 3.674 2.048 2.045 2.042 2.154 2.467 2.763 3.047 3.408 29 30 0.683 0.683 2.150 2.147 0.854 1.055 1.055 1.311 1.310 1.699 2.462 2.457 2.756 2.750 3.038 3.030 3.396 3.385 3.659 3.646 0.854 1.697 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 3.375 3.365 3.633 3.622 3.611 3.601 3.591 31 0.682 0.853 1.054 1.309 2.040 2.453 2.744 2.738 3.022 3.015 3.008 32 0.682 0.853 1.054 1.309 2.037 2.449 33 0.682 0.853 1.053 1.308 2.035 2.445 2.733 3.356 34 35 0.682 0.852 0.852 1.052 1.052 1.307 1.306 2.032 2.030 2.136 2.133 2.441 2.438 2.728 2.724 3.002 2.996 3.348 3.340 0.682 1.688 1.687 1.686 1.685 2.434 3.333 3.582 3.574 3.566 3.558 36 0.681 0.852 0.851 1.052 1.306 2.028 2.026 2.131 2.719 2.990 37 0.681 1.051 1.305 1.304 1.304 2.129 2.431 2.715 2.985 3.326 38 39 0.681 0.681 0.851 0.851 1.051 1.050 2.024 2.023 2.127 2.125 2.429 2.426 2.712 2.708 2.980 2.976 3.319 3.313
Transcribed Image Text: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 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 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.978 0.941 1.250 1.190 1.638 1.533 2.353 2.132 10.215 7.173 3 0.765 0.741 5 0.727 3.182 2.776 3.482 2.999 4.541 3.747 5.841 4.604 4.032 7.453 5.598 12.924 8.610 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.773 5.893 6.869 6. 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.896 0.889 2.517 2.449 4.029 3.833 3.690 7 0.711 0.706 1.119 1.108 1.415 1.397 1.895 1.860 2.365 2.306 2.998 2.896 3.499 3.355 4.785 4.501 5.408 5.041 2.821 4.781 4.587 0.703 0.883 1.100 1.383 1.833 2.262 2.228 2.398 3.250 4.297 10 0.700 0.879 1.093 1.372 1.812 2.359 2.764 3.169 3.581 4.144 11 0.697 0.876 1.363 1.356 1.079 1.350 1.088 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 1.782 1.771 1.083 12 13 0.695 0.694 0.873 0.870 2.179 2.160 2.303 2.282 2.681 2.650 3.055 3.012 2.977 3.428 3.372 3.930 3.852 3.787 4.318 4.221 4.140 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 3.326 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 17 0.690 0.689 0.865 0.863 0.862 1.071 1.337 1.069 1.333 1.746 1.740 2.120 2.110 2.235 2.224 2.583 2.567 2.921 2.898 3.252 3.222 3.686 3.646 4.015 3.965 18 0.688 1.067 1.066 1.330 1.328 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 0.688 0.687 2.539 3.579 3.552 19 0.861 1.729 2.093 2.205 2.861 3.174 3.883 20 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.850 21 22 0.686 0.686 0.859 0.858 1.063 1.061 1.323 1.321 1.721 1.717 2.080 2.074 2.189 2.183 2.518 2.508 2.831 2.819 3.135 3.119 3.527 3,505 3.485 3.467 3.819 3.792 1.319 1.318 3.104 3.091 3.078 23 0.685 0.685 0.684 0.858 1.060 1.714 2.069 2.177 2.500 2.807 3.768 1.711 1.708 24 0.857 1.059 2.064 2.172 2.492 2.797 3.745 25 0.856 1.058 1.316 2.060 2.167 2.485 2.787 3.450 3.725 26 0.684 0.856 1.058 1.315 1.706 2.056 3.435 3.707 2.162 2.158 2.479 2.779 3.067 0.684 0.683 27 0.855 1.057 1.314 2.473 1.703 1.701 2.052 2.771 3.057 3.421 3.690 28 0.855 1.056 1.313 3.674 2.048 2.045 2.042 2.154 2.467 2.763 3.047 3.408 29 30 0.683 0.683 2.150 2.147 0.854 1.055 1.055 1.311 1.310 1.699 2.462 2.457 2.756 2.750 3.038 3.030 3.396 3.385 3.659 3.646 0.854 1.697 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 3.375 3.365 3.633 3.622 3.611 3.601 3.591 31 0.682 0.853 1.054 1.309 2.040 2.453 2.744 2.738 3.022 3.015 3.008 32 0.682 0.853 1.054 1.309 2.037 2.449 33 0.682 0.853 1.053 1.308 2.035 2.445 2.733 3.356 34 35 0.682 0.852 0.852 1.052 1.052 1.307 1.306 2.032 2.030 2.136 2.133 2.441 2.438 2.728 2.724 3.002 2.996 3.348 3.340 0.682 1.688 1.687 1.686 1.685 2.434 3.333 3.582 3.574 3.566 3.558 36 0.681 0.852 0.851 1.052 1.306 2.028 2.026 2.131 2.719 2.990 37 0.681 1.051 1.305 1.304 1.304 2.129 2.431 2.715 2.985 3.326 38 39 0.681 0.681 0.851 0.851 1.051 1.050 2.024 2.023 2.127 2.125 2.429 2.426 2.712 2.708 2.980 2.976 3.319 3.313
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