Make sure to do the rounding and double check the Answers please.Extracted text: A random sample of...

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Make sure to do the rounding and double check the Answers please.

A random sample of two variables, x and y, produced the observations<br>shown to the right.<br>11<br>9<br>20<br>5<br>a. Develop a scatter plot for the two variables and describe what<br>relationship, if any, exists.<br>b. Compute the correlation coefficient for these sample data.<br>c. Test to determine whether the population correlation coefficient is<br>negative. Use a significance level of 0.05 for the hypothesis test.<br>13<br>8<br>17<br>16<br>6<br>15<br>6<br>19<br>14<br>Click the icon to view the t-distribution table.<br>a. Which graph below shows a scatter plot for these data?<br>OA.<br>O B.<br>OC.<br>OD.<br>AY<br>10+<br>Ay<br>20-<br>20-<br>10-<br>0-<br>10<br>10-<br>10-<br>0-<br>10<br>20<br>10<br>10<br>There appears to be<br>linear relationship between x and y.<br>b. What is the correlation coefficient for these sample data?<br>(Round to two decimal places as needed.)<br>r=<br>c. What are the appropriate hypotheses to test for a negative correlation coefficient?<br>O A. Ho: ps0<br>O B. Ho: p+0<br>HA: p= 0<br>HẠ p>0<br>OC. Họ: p20<br>HA p<0<br>O D. Ho: p<0<br>HA: p20<br>O E. Ho: p>0<br>HA: ps0<br>Ο F. H0 ρ=0<br>HA: p+0<br>Calculate the t-test statistic for correlation.<br>t=<br>(Round to four decimal places as needed.)<br>Determine the critical value(s) for the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice.<br>(Round to four decimal places as needed.)<br>O A.<br>to.05 =<br>O B. to.05 =<br>O C. to.025 = ±<br>Since the test statistic<br>V in the rejection region,<br>V the null hypothesis. The data<br>V support the contention that the population correlation<br>coefficient is negative.<br>

Extracted text: A random sample of two variables, x and y, produced the observations shown to the right. 11 9 20 5 a. Develop a scatter plot for the two variables and describe what relationship, if any, exists. b. Compute the correlation coefficient for these sample data. c. Test to determine whether the population correlation coefficient is negative. Use a significance level of 0.05 for the hypothesis test. 13 8 17 16 6 15 6 19 14 Click the icon to view the t-distribution table. a. Which graph below shows a scatter plot for these data? OA. O B. OC. OD. AY 10+ Ay 20- 20- 10- 0- 10 10- 10- 0- 10 20 10 10 There appears to be linear relationship between x and y. b. What is the correlation coefficient for these sample data? (Round to two decimal places as needed.) r= c. What are the appropriate hypotheses to test for a negative correlation coefficient? O A. Ho: ps0 O B. Ho: p+0 HA: p= 0 HẠ p>0 OC. Họ: p20 HA p<0 o="" d.="" ho:=""><0 ha:="" p20="" o="" e.="" ho:="" p="">0 HA: ps0 Ο F. H0 ρ=0 HA: p+0 Calculate the t-test statistic for correlation. t= (Round to four decimal places as needed.) Determine the critical value(s) for the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. to.05 = O B. to.05 = O C. to.025 = ± Since the test statistic V in the rejection region, V the null hypothesis. The data V support the contention that the population correlation coefficient is negative.

PROBABILITIES (OR AREAS UNDER 1-DISTRIBUTION CURVE)<br>Conf. Level<br>0.1<br>0.3<br>0.5<br>0.7<br>0.8<br>0.9<br>0.95<br>0.98<br>0.99 Conf. Level<br>One Tail<br>Two Tails<br>0.45<br>0.35<br>0.25<br>0.15<br>0.1<br>0.05<br>0.025<br>0.01<br>0.005 One Tail<br>0.9<br>0.7<br>0.5<br>0.3<br>0.2<br>0.1<br>0.05<br>0.02<br>0.01 Two Tails<br>df<br>Values of t<br>df<br>1.0000<br>0.8165<br>1.9626<br>1.3862<br>1.2498<br>1<br>0.1584<br>0.5095<br>3.0777<br>6.3137 12.7062 31.8210 63.6559<br>1<br>6.9645<br>4.5407<br>9.9250<br>5.8408<br>0.1421<br>0.4447<br>1.8856<br>2.9200<br>2.3534<br>4.3027<br>2<br>3<br>0.1366<br>0.4242<br>0.7649<br>1.6377<br>3.1824<br>3<br>0.4142<br>0.4082<br>0.7407<br>0.7267<br>4<br>0.1338<br>1.1896<br>1.5332<br>2.1318<br>2.7765<br>3.7469<br>4.6041<br>4<br>0.1322<br>1.1558<br>1.4759<br>2.0150<br>2.5706<br>3.3649<br>4.0321<br>5<br>2.4469<br>2.3646<br>2.3060<br>2.2622<br>3.1427<br>2.9979<br>2.8965<br>3.7074<br>3.4995<br>0.1311<br>0.4043<br>0.7176<br>1.1342<br>1.4398<br>1.9432<br>0.4015<br>0.3995<br>0.3979<br>1.1192<br>1.1081<br>1.0997<br>1.0931<br>7<br>0.1303<br>0,7111<br>1.4149<br>1.8946<br>7<br>8.<br>0.1297<br>0.7064<br>1.3968<br>1.8595<br>3.3554<br>8<br>0.1293<br>0.1289<br>9<br>0.7027<br>1.3830<br>1.8331<br>2.8214<br>3.2498<br>9<br>10<br>0.3966<br>0.6998<br>1.3722<br>1,8125<br>2.2281<br>2.7638<br>3.1693<br>10<br>0.6974<br>0.6955<br>1.3634<br>1.3562<br>1,7959<br>1,7823<br>2.2010<br>2.1788<br>2.1604<br>11<br>0.1286<br>0.3956<br>1.0877<br>2.7181<br>3.1058<br>11<br>0.1283<br>0.1281<br>3.0545<br>3.0123<br>2.9768<br>12<br>0.3947<br>1.0832<br>2.6810<br>12<br>13<br>0.3940<br>0.6938<br>1.0795<br>1.3502<br>1.7709<br>2.6503<br>13<br>14<br>0.1280<br>0.3933<br>0.6924<br>1.0763<br>1.3450<br>1.7613<br>2.1448<br>2.6245<br>14<br>15<br>0.1278<br>0.3928<br>0.6912<br>1.0735<br>1.3406<br>1.7531<br>2.1315<br>2.6025<br>2.9467 15<br>0.1277<br>0.1276<br>1.7459<br>1.7396<br>2.1199<br>2.1098<br>2.5835<br>2.5669<br>2.5524<br>2.5395<br>2.5280<br>2.9208<br>2.8982<br>2.8784<br>16<br>0,3923<br>0.6901<br>1.0711<br>1.3368<br>16<br>1.0690<br>1.0672<br>17<br>0.3919<br>0.6892<br>1.3334<br>17<br>18<br>0.1274<br>0.3915<br>0.6884<br>1.3304<br>1.7341<br>2.1009<br>18<br>19<br>0.1274<br>0.3912<br>0.6876<br>1.0655<br>1.3277<br>1.7291<br>2.0930<br>2.8609<br>19<br>20<br>0.1273<br>0,3909<br>0.6870<br>1.0640<br>1.3253<br>1.7247<br>2.0860<br>2.8453<br>20<br>0.3906<br>1.0627<br>1.0614<br>21<br>1.7207<br>0.1272<br>0.1271<br>0.1271<br>0.6864<br>1.3232<br>2.0796<br>2.5176<br>2.8314<br>21<br>0.6858<br>0.6853<br>0.6848<br>0.6844<br>22<br>0.3904<br>1.3212<br>1.7171<br>2.0739<br>2,5083<br>2.8188<br>22<br>0.3902<br>0.3900<br>1.3195<br>1.3178<br>1.3163<br>23<br>1.0603<br>1.7139<br>2.0687<br>2.4999<br>2.8073<br>23<br>24<br>0.1270<br>1.0593<br>1.7109<br>2.0639<br>2,4922<br>2.7970 24<br>25<br>0.1269<br>0.3898<br>1,0584<br>1.7081<br>2.0595<br>2.4851<br>2.7874<br>25<br>0.1269<br>0.1268<br>0.1268<br>0.6840<br>0.6837<br>1.0575<br>1.0567<br>26<br>0.3896<br>1.3150<br>1.7056<br>2.0555<br>2.4786<br>2,7787<br>26<br>27<br>0.3894<br>1.3137<br>1.7033<br>2.0518<br>2.4727<br>2.7707<br>27<br>1.7011<br>1.6991<br>28<br>0.3893<br>1.3125<br>2,4671<br>2,4620<br>2,4573<br>0.6834<br>1,0560<br>2.0484<br>2.7633<br>28<br>1.3114<br>1.3104<br>29<br>0.1268<br>0.3892<br>0.6830<br>1,0553<br>2.0452<br>2.7564<br>29<br>30<br>0.1267<br>0.3890<br>0.6828<br>1.0547<br>1.6973<br>2.0423<br>2.7500<br>30<br>0.6807<br>0.6794<br>0.6786<br>0.6780<br>1.6839<br>1.6759<br>1.6706<br>2.02|1<br>2.0086<br>2.0003<br>1.9944<br>40<br>0.1265<br>0.3881<br>1.0500<br>1.3031<br>2,4233<br>2,7045<br>40<br>50<br>0.1263<br>0.3875<br>1.0473<br>1.2987<br>2.4033<br>2.6778<br>50<br>0.3872<br>0,3869<br>2.3901<br>2.3808<br>60<br>0.1262<br>1.0455<br>1.2958<br>2.6603<br>60<br>70<br>0.1261<br>1,0442<br>1.2938<br>1.2922<br>1.6669<br>2.6479<br>70<br>80<br>0.1261<br>0.3867<br>0.6776<br>1.0432<br>1.6641<br>1.9901<br>2,3739<br>2.6387 80<br>1.0424<br>1.0418<br>90<br>0.1260<br>0.3866<br>0.6772<br>1.2910<br>1.6620<br>1.9867<br>2.3685<br>2.6316 90<br>100<br>0.1260<br>0.3864<br>0.6770<br>1.2901<br>1.6602<br>1.9840<br>2.3642<br>2.6259 100<br>0.1258<br>0.1257<br>0.6755<br>0.6750<br>0.6745<br>1.6510<br>1.6479<br>1,6449<br>0.3858<br>1.2849<br>1.2832<br>1.9695<br>1.9647<br>1.9600<br>250<br>1,0386<br>2.3414<br>2.5956 250<br>500<br>0.3855<br>1.0375<br>2.3338<br>2.5857 500<br>0.1257<br>0.3853<br>1.0364<br>1.2816<br>2.3263<br>2.5758<br>Conf. Level<br>One Tail<br>Two Tails<br>0.1<br>0.45<br>0.95<br>0.025<br>0.3<br>0.5<br>0.7<br>0.8<br>0.9<br>0.98<br>0.99 Conf. Level<br>0.35<br>0.25<br>0.15<br>0.3<br>0.1<br>0.05<br>0.01<br>0.005 One Tail<br>0.9<br>0.7<br>0.5<br>0.2<br>0.1<br>0.05<br>0.02<br>0.01 Two Tails<br>

Extracted text: PROBABILITIES (OR AREAS UNDER 1-DISTRIBUTION CURVE) Conf. Level 0.1 0.3 0.5 0.7 0.8 0.9 0.95 0.98 0.99 Conf. Level One Tail Two Tails 0.45 0.35 0.25 0.15 0.1 0.05 0.025 0.01 0.005 One Tail 0.9 0.7 0.5 0.3 0.2 0.1 0.05 0.02 0.01 Two Tails df Values of t df 1.0000 0.8165 1.9626 1.3862 1.2498 1 0.1584 0.5095 3.0777 6.3137 12.7062 31.8210 63.6559 1 6.9645 4.5407 9.9250 5.8408 0.1421 0.4447 1.8856 2.9200 2.3534 4.3027 2 3 0.1366 0.4242 0.7649 1.6377 3.1824 3 0.4142 0.4082 0.7407 0.7267 4 0.1338 1.1896 1.5332 2.1318 2.7765 3.7469 4.6041 4 0.1322 1.1558 1.4759 2.0150 2.5706 3.3649 4.0321 5 2.4469 2.3646 2.3060 2.2622 3.1427 2.9979 2.8965 3.7074 3.4995 0.1311 0.4043 0.7176 1.1342 1.4398 1.9432 0.4015 0.3995 0.3979 1.1192 1.1081 1.0997 1.0931 7 0.1303 0,7111 1.4149 1.8946 7 8. 0.1297 0.7064 1.3968 1.8595 3.3554 8 0.1293 0.1289 9 0.7027 1.3830 1.8331 2.8214 3.2498 9 10 0.3966 0.6998 1.3722 1,8125 2.2281 2.7638 3.1693 10 0.6974 0.6955 1.3634 1.3562 1,7959 1,7823 2.2010 2.1788 2.1604 11 0.1286 0.3956 1.0877 2.7181 3.1058 11 0.1283 0.1281 3.0545 3.0123 2.9768 12 0.3947 1.0832 2.6810 12 13 0.3940 0.6938 1.0795 1.3502 1.7709 2.6503 13 14 0.1280 0.3933 0.6924 1.0763 1.3450 1.7613 2.1448 2.6245 14 15 0.1278 0.3928 0.6912 1.0735 1.3406 1.7531 2.1315 2.6025 2.9467 15 0.1277 0.1276 1.7459 1.7396 2.1199 2.1098 2.5835 2.5669 2.5524 2.5395 2.5280 2.9208 2.8982 2.8784 16 0,3923 0.6901 1.0711 1.3368 16 1.0690 1.0672 17 0.3919 0.6892 1.3334 17 18 0.1274 0.3915 0.6884 1.3304 1.7341 2.1009 18 19 0.1274 0.3912 0.6876 1.0655 1.3277 1.7291 2.0930 2.8609 19 20 0.1273 0,3909 0.6870 1.0640 1.3253 1.7247 2.0860 2.8453 20 0.3906 1.0627 1.0614 21 1.7207 0.1272 0.1271 0.1271 0.6864 1.3232 2.0796 2.5176 2.8314 21 0.6858 0.6853 0.6848 0.6844 22 0.3904 1.3212 1.7171 2.0739 2,5083 2.8188 22 0.3902 0.3900 1.3195 1.3178 1.3163 23 1.0603 1.7139 2.0687 2.4999 2.8073 23 24 0.1270 1.0593 1.7109 2.0639 2,4922 2.7970 24 25 0.1269 0.3898 1,0584 1.7081 2.0595 2.4851 2.7874 25 0.1269 0.1268 0.1268 0.6840 0.6837 1.0575 1.0567 26 0.3896 1.3150 1.7056 2.0555 2.4786 2,7787 26 27 0.3894 1.3137 1.7033 2.0518 2.4727 2.7707 27 1.7011 1.6991 28 0.3893 1.3125 2,4671 2,4620 2,4573 0.6834 1,0560 2.0484 2.7633 28 1.3114 1.3104 29 0.1268 0.3892 0.6830 1,0553 2.0452 2.7564 29 30 0.1267 0.3890 0.6828 1.0547 1.6973 2.0423 2.7500 30 0.6807 0.6794 0.6786 0.6780 1.6839 1.6759 1.6706 2.02|1 2.0086 2.0003 1.9944 40 0.1265 0.3881 1.0500 1.3031 2,4233 2,7045 40 50 0.1263 0.3875 1.0473 1.2987 2.4033 2.6778 50 0.3872 0,3869 2.3901 2.3808 60 0.1262 1.0455 1.2958 2.6603 60 70 0.1261 1,0442 1.2938 1.2922 1.6669 2.6479 70 80 0.1261 0.3867 0.6776 1.0432 1.6641 1.9901 2,3739 2.6387 80 1.0424 1.0418 90 0.1260 0.3866 0.6772 1.2910 1.6620 1.9867 2.3685 2.6316 90 100 0.1260 0.3864 0.6770 1.2901 1.6602 1.9840 2.3642 2.6259 100 0.1258 0.1257 0.6755 0.6750 0.6745 1.6510 1.6479 1,6449 0.3858 1.2849 1.2832 1.9695 1.9647 1.9600 250 1,0386 2.3414 2.5956 250 500 0.3855 1.0375 2.3338 2.5857 500 0.1257 0.3853 1.0364 1.2816 2.3263 2.5758 Conf. Level One Tail Two Tails 0.1 0.45 0.95 0.025 0.3 0.5 0.7 0.8 0.9 0.98 0.99 Conf. Level 0.35 0.25 0.15 0.3 0.1 0.05 0.01 0.005 One Tail 0.9 0.7 0.5 0.2 0.1 0.05 0.02 0.01 Two Tails

Make sure to do the rounding and double check the Answers please. 0OC. Họ: p20HA p 0HA: ps0Ο F. H0 ρ=0HA: p+0Calculate the t-test statistic for correlation.t=(Round to four decimal places as...

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