A sample of 140 matched pairs of banks was formed in a study comparing banks in Turkey and Germany. Each pair contained one bank from Turkey and one from Germany. The pairings were made in such a way...


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A sample of 140 matched pairs of banks was formed in a study comparing banks in Turkey and Germany. Each pair contained one bank from Turkey and one from<br>Germany. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans<br>outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (Turkey - Germany) was 0.0524, and the sample standard<br>deviation of the differences was 0.3188. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume oa = 0.01.)<br>Click the icon to view the critical values of the Student's t distribution.<br>Which of the following correctly states Ho and H, ?<br>O A. Ho: Hx - Hy = 0<br>H1: Hx -Hy <0<br>B. Ho: Hx - Hy = 0<br>OC. Ho: Hx -Hy = 0<br>H: Hx -Hy #0<br>D. Ho: Hx - Hy<br>H: Hx - Hy>0<br>= 0<br>O E. Ho: Hx -Hy<br>O F. Ho: Hx - Hy = 0<br>0 = 'r1 – Xrl ; 'H<br>05 - XrH : H<br>The test statistic is t=<br>(Round to three decimal places as needed.)<br>The critical value(s) is(are)<br>(Round to three decimal places as needed. Use a comma to separate answers as needed.)<br>Determine the correct conclusion.<br>Since the test statistic is<br>There is<br>evidence of a difference in the two population means.<br>

Extracted text: A sample of 140 matched pairs of banks was formed in a study comparing banks in Turkey and Germany. Each pair contained one bank from Turkey and one from Germany. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (Turkey - Germany) was 0.0524, and the sample standard deviation of the differences was 0.3188. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume oa = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following correctly states Ho and H, ? O A. Ho: Hx - Hy = 0 H1: Hx -Hy <0 b.="" ho:="" hx="" -="" hy="0" oc.="" ho:="" hx="" -hy="0" h:="" hx="" -hy="" #0="" d.="" ho:="" hx="" -="" hy="" h:="" hx="" -="" hy="">0 = 0 O E. Ho: Hx -Hy O F. Ho: Hx - Hy = 0 0 = 'r1 – Xrl ; 'H 05 - XrH : H The test statistic is t= (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the correct conclusion. Since the test statistic is There is evidence of a difference in the two population means.
Student's t-distribution<br>(Cut-off points)<br>α or α/2<br>0,025 0,010 0,005<br>V<br>0,100<br>3,078<br>2<br>0,050<br>6,314 12,706 31,821 63,657<br>2,920 4,303 6,965 9,925<br>2,353 3,182 4,541<br>2,132 2,776 3,747 4,604<br>2,015 2,571 3,365 4,032<br>1,943<br>1,895 2,365 2,998 3,499<br>1,860 2,306 2,896 3,355<br>1,833 2,262 2,821<br>1<br>1,886<br>3<br>1,638<br>4<br>5,841<br>1,533<br>1,476<br>6<br>1,440<br>7<br>2,447 3,143 3,707<br>1,415<br>1,397<br>9<br>1,383<br>10<br>3,250<br>1,372 1,812 2,228 2,764 3,169<br>1,363<br>12<br>2,718 3,106<br>1,796 2,201<br>1,782 2,179 2,681 3,055<br>1,771 2,160 2,650 3,012|<br>11<br>1,356<br>13<br>1,350<br>14 1,345<br>15 1,341<br>16 1,337<br>17<br>2,145 2,624 2,977<br>2,602 2,947<br>1,761<br>1,753 2,131<br>1,746 2,120 2,583 2,921<br>1,740 2,110 2,567<br>1,734<br>1,729 2,093 2,539 2,861<br>1,725 2,086 2,528 2,845<br>1,721 2,080 2,518 2,831<br>1,717 2,074 2,508 2,819<br>1,714 2,069 2,500 2,807<br>1,711 2,064 2,492 2,797<br>1,708 2,060 2,485 2,787<br>1,706 2,056 2,479 2,779<br>1,703 2,052 2,473 2,771<br>1,701 2,048 2,467 2,763<br>1,699 2,045 2,462 2,756<br>1,697 2,042 2,457 2,750<br>1,645 1,960 2,326 2,576<br>1,333<br>18<br>2,898<br>2,101 2,552 2,878<br>1,330<br>19<br>1,328<br>1,325<br>1,323<br>20<br>21<br>22<br>1,321<br>1,319<br>24<br>23<br>1,318<br>25<br>1,316<br>26<br>1,315<br>1,314<br>28<br>27<br>1,313<br>29<br>1,311<br>1,310<br>1,282<br>30<br>

Extracted text: Student's t-distribution (Cut-off points) α or α/2 0,025 0,010 0,005 V 0,100 3,078 2 0,050 6,314 12,706 31,821 63,657 2,920 4,303 6,965 9,925 2,353 3,182 4,541 2,132 2,776 3,747 4,604 2,015 2,571 3,365 4,032 1,943 1,895 2,365 2,998 3,499 1,860 2,306 2,896 3,355 1,833 2,262 2,821 1 1,886 3 1,638 4 5,841 1,533 1,476 6 1,440 7 2,447 3,143 3,707 1,415 1,397 9 1,383 10 3,250 1,372 1,812 2,228 2,764 3,169 1,363 12 2,718 3,106 1,796 2,201 1,782 2,179 2,681 3,055 1,771 2,160 2,650 3,012| 11 1,356 13 1,350 14 1,345 15 1,341 16 1,337 17 2,145 2,624 2,977 2,602 2,947 1,761 1,753 2,131 1,746 2,120 2,583 2,921 1,740 2,110 2,567 1,734 1,729 2,093 2,539 2,861 1,725 2,086 2,528 2,845 1,721 2,080 2,518 2,831 1,717 2,074 2,508 2,819 1,714 2,069 2,500 2,807 1,711 2,064 2,492 2,797 1,708 2,060 2,485 2,787 1,706 2,056 2,479 2,779 1,703 2,052 2,473 2,771 1,701 2,048 2,467 2,763 1,699 2,045 2,462 2,756 1,697 2,042 2,457 2,750 1,645 1,960 2,326 2,576 1,333 18 2,898 2,101 2,552 2,878 1,330 19 1,328 1,325 1,323 20 21 22 1,321 1,319 24 23 1,318 25 1,316 26 1,315 1,314 28 27 1,313 29 1,311 1,310 1,282 30
Jun 11, 2022
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