st Ch list t-Table (Page 1) This test: 14 point(s) O e reje 31 32 5 3 9 10 2222222222 97973 99949= 30 1.310 1.697 2.042 2.457 2.750 30 1.309 1.696 2.040 2.453 2.744 31 1.309 1.694 2.037 2.449 2.738 33 1.308 1.692 2.035 34 1.307 1.691 2.032 2.445 2.733 2.441 2.728 33 34 35 1.306 1.690 2.030 2.724 2.438 35 36 1.306 1.688 2.028 2.434 2.719 36 37 1.305 1.687 2.026 2.431 2.715 37 38 1.304 1.686 2.024 2.429 2.712 38 39 1.304 1.685 2.023 2.426 2.708 39 40 1.303 1.684 2.021 2.423 2.704 41 1.303 1.683 2.020 2.421 2.701 42 1.302 1.682 2.018 2.418 2.698 43 1.302 1.681 2.017 2.416 2.695 44 1.301 1.680 2.015 2.414 2.692 45 1.301 1.679 2.014 2.412 2.690 46 1.300 1.679 2.013 2.410 2.687 47 1.300 1.678 2.012 2.408 2.685 48 1.299 1.677 2.011 2.407 2.682 1.299 1.677 2.010 2.405 2.680 2232 23 ** 99999 confi tatisti bot i 9 ya ovide 40 41 42 43 44 45 46 47 48 pro 49 df 10.10 10.05 10.025 10.01 10.005 df 11 uestion list t-Table (Page 1) O S Question 6 Question 7 0 Question 8 10 11 Question 9 12 13 14 Question 10 15 16 17 18 Question 11 19 234 56789 DN 2 Values of t df 10.10 10.05 10.025 10.01 10.005 df 1 3.078 6.314 12.706 31.821 63.657 1.886 2.920 4.303 6.965 9.925 1.638 2.353 3.182 4.541 5.841 1.533 2.132 2.776 3.747 4.604 1237 4 e rejecte confiden tatistics 1.415 1.397 1.476 2.015 2.571 3.365 4.032 1.440 1.943 2.447 3.143 3.707 1.895 2.365 1.860 2.306 2.998 3.499 2.896 3.355 1.383 1.833 2.262 2.821 3.250 1.372 1.812 2.228 2.764 3.169 10 1.363 1.796 2.201 2.718 3.106 11 1.356 1.782 2.179 2.681 3.055 12 1.350 1.771 2.160 2.650 3.012 13 1.345 1.761 2.145 2.624 2.977 1.341 1.753 2.131 2.602 2.947 1.337 1.746 2.120 2.583 2.921 1.333 1.740 2.110 2.567 2.898 1.330 1.734 1.328 1.729 2.101 2.093 2.552 2.878 2.539 2.861 56789 DA 62 bot is us 9 yards ovide su 14 15 provide 16 17 18 19 Question 12 Print Dono t Ch t-Table (Page 2) st This test: 14 point(s) Submit 75 1.293 1.665 1.992 80 1.292 1.664 2.377 1.990 2.374 2.639 2.643 75 80 85 1.292 1.663 1.988 2.371 2.635 85 e rejected in fa confidence bou tatistics provide 90 1.291 1.662 1.987 2.368 2.632 90 95 1.291 1.661 1.985 2.366 2.629 95 100 1.290 1.660 1.984 2.364 2.626 100 200 1.286 1.653 1.972 2.345 2.601 200 300 1.284 1.650 1.968 2.339 2.592 300 bot is used to t 400 1.284 1.649 500 1.283 1.648 1.966 2.336 1.965 2.588 2.334 2.586 400 500 9 yards. A ran ovide sufficient 600 1.283 1.647 1.964 700 1.283 1.647 2.333 1.963 2.332 2.583 2.584 600 700 800 1.283 1.647 1.963 2.331 2.582 800 900 1.282 1.647 1.963 2.330 2.581 900 1000 1.282 1.646 1.962 2.330 2.581 1000 2000 1.282 1.646 1.961 2.328 2.578 2000 cons df 10.10 10.05 10.025 10.01 10.005 df provide suffici 1.282 1.645 1.960 2.326 2.576 60.10 Z 0.05 Z 0.025 Z 0.01 Z 0.005 Print Done :16:19 cons uestion list Question 6 Question 7 Question 8 K point(s) possible Submit test For a right-tailed hypothesis test at the significance level a, the null hypothesis Ho: =o will be rejected in favor of the alternative hypothesis Ha: > Ho if and only if o is less than or equal to the (1 - a)-level lower confidence bound for . Illustrate the preceding relationship by obtaining the lower confidence bound for the summary statistics provided. Click here to view page 1 of the t-table. Click here to view page 2 of the t-table. a. The owner of a particular golf club has a company test the effectiveness of the golf club. A robot is used to test a particular golf club. The golfer wanted a club that, on average, would hit the ball more than 179.9 yards. A random sample of 6 identical balls were hit at the same speed. At the 5% significance level, the data provide sufficient evidence to conclude that the club does what the golfer wants. (Note: x = 182.8 yards and s = 2.9 yards.) The lower confidence bound is (Round to three decimal places as needed.) 1 0 Question 9 Since the value of o lies the hypothesis test Question 10 the (1a)-level lower confidence bound for , these results the null hypothesis. consistent with Repeat part (a) at the at the 1% significance level. At the 1% significance level, the data do not provide sufficient evidence to conclude that the club does what the golfer wants. Question 11 The lower confidence bound is . (Round to three decimal places as needed.) 0 Since the value of lies the (1a)-level lower confidence bound for , these results consistent with Question 12 the hypothesis test the null hypothesis. t-Table (Page 1) 29 30 31 32 33 34 35 36 37 38 222222 22222 22222 2223 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 24 1.318 1.711 2.064 2.492 2.500 2.807 2.797 23 25 1.316 1.708 2.060 2.485 2.787 25 26 1.315 1.706 2.056 2.479 2.779 27 1.314 1.703 2.052 2.473 2.771 28 1.313 1.701 2.048 2.467 2.763 28 1.311 1.699 2.045 2.462 2.756 1.310 1.697 2.042 2.457 2.750 1.309 1.696 2.040 2.453 2.744 31 1.309 1.694 2.037 2.449 2.738 1.308 1.692 2.035 2.445 2.733 1.307 1.691 2.032 2.441 2.728 1.306 1.690 2.030 2.438 2.724 1.306 1.688 2.028 2.434 2.719 1.305 1.687 2.026 2.431 2.715 1.304 1.686 2.024 2.429 2.712 39 1.304 1.685 2.023 2.426 2.708 222222 32222 22222 22233 e rej cont tatis 24 26 bot 27 9 ya ovid 29 30 32 33 34 35 36 37 pro 38 39 40 1.303 1.684 2.021 2.423 2.704 40 41 1.303 1683 2020 2421 2701 41 Print Done :16 ry Question list K Question 6 Question 7 Question 8 For a right-tailed hypothesis test at the significance level a, the null hypothesis Ho: =Ho will be rejected in favor of the alternative hypothesis Ha: > Ho if and only if o is less than or equal to the (1 - a)-level lower confidence bound for . Illustrate the preceding relationship by obtaining the lower confidence bound for the summary statistics provided. Click here to view page 1 of the t-table. Click here to view page 2 of the t-table. a. The owner of a particular golf club has a company test the effectiveness of the golf club. A robot is used to test a particular golf club. The golfer wanted a club that, on average, would hit the ball more than 179.9 yards. A random sample of 6 identical balls were hit at the same speed. At the 5% significance level, the data provide sufficient evidence to conclude that the club does what the golfer wants. (Note: x = 182.8 yards and s = 2.9 yards.) The lower confidence bound is 1 of 2 0 of 2 (Round to three decimal places as needed.) Since the value of Ho lies the (1a)-level lower confidence bound for , these results the null hypothesis. consistent with O Question 9 Question 10 the hypothesis test Question 11 O Question 12 Repeat part (a) at th evidence to conclud vel. At the 1% significance level, the data do not provide sufficient he golfer wants. The lower confidenc (Round to three dec Since the value of the hypothesis test rejecting 0 of 2 failing to reject evel lower confidence bound for , these results the null hypothesis. consistent with st Ch t-Table (Page 2) O S DI list 1.296 1.670 2.000 2.389 2.639 62 1.295 63 1.295 1.669 64 1.295 1.669 1.670 1.999 2.388 2.657 1.998 2.387 2.656 1.998 2.386 62 63 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652 67 1.294 1.668 1.996 2.383 2.651 68 1.294 1.668 1.995 2.382 2.650 69 1.294 1.667 1.995 2.382 2.649 70 1.294 1.667 1.994 2.381 2.648 71 1.294 1.667 1.994 2.380 2.647 72 1.293 1.666 1.993 2.379 2.646 73 1.293 1.666 1.993 2.379 2.645 74 1.293 1.666 1.993 2.378 2.644 75 1.293 1.665 1.992 2.377 2.643 80 1.292 1.664 1.990 2.374 2.639 85 1.292 1.663 1.988 2.371 2.635 90 1.291 1.662 1.987 2.368 2.632 95 1.291 1.661 1.985 2.366 2.629 0 100 1.290 200 1.660 1.286 1.653 1.984 2.364 2.626 2008 R2 222 2 e reject confide tatistics 64 65 66 67 68 69 bot is u 9 yard 70 ovide s 71 72 73 74 75 85 90 95 provi 100 1.972 2.345 2.601 200 300 1.284 1.650 1.968 2.339 2.592 300 1 400 1.284 1.649 1.966 2.336 2.588 400 2 Print Done :16: 5 t-Table (Page 2) - S st e reject Values of tu df 10.10 10.05 F0.025 10.01 10.005 df confide tatistics 61 62 63 64 65 66 67 68 1984 2A828 44KS KEKS 50 1.299 1.676 2.009 2.403 2.678 50 1.298 1.675 52 1.298 1.675 2.008 2.402 2.007 2.400 2.676 51 2.674 52 53 1.298 1.674 2.006 2.399 2.672 53 54 1.297 1.674 2.005 2.397 2.670 54 bot is u 55 1.297 1.673 2.004 2.396 2.668 55 9 yard ovide s 56 1.297 1.673 2.003 2.395 2.667 56 57 1.297 1.672 2.002 2.394 2.665 57 58 1.296 1.672 2.002 2.392 2.663 58 59 1.296 1.671 2.001 2.391 2.662 59 60 1.296 1.671 1.296 1.670 1.295 1.670 2.000 2.390 2.660 2,000 1.999 2.388 2.657 60 2.389 2.659 61 62 1.295 1.669 1.998 2.387 2.656 1.295 1.669 1.998 2.386 2.655 64 provid 1.295 1.669 1.997 2.385 2.654 65 1.295 1.668 1.997 2.384 2.652 66 1.294 1.668 1.996 2.383 2.651 67 1.294 1.668 1.995 2.382 2.650 68 Print Done :16:26 Question list O Question 6 O Question 7 O Question 8 Question 9 K For a right-tailed hypothesis test at the significance level a, the null hypothesis Ho: =Ho will be rejected in favor of the alternative hypothesis Ha: >o if and only if o is less than or equal to the (1 - a)-level lower confidence bound for . Illustrate the preceding relationship by obtaining the lower confidence bound for the summary statistics provided. Click here to view page 1 of the t-table. Click here to view page 2 of the t-table. a. The owner of a particular golf club has a company test the effectiveness of the golf club. A robot is used to test a particular golf club. The golfer wanted a club that, on average, would hit the ball more than 179.9 yards. A random sample of 6 identical balls were hit at the same speed. At the 5% significance level, the data provide sufficient evidence to conclude that the club does what the golfer wants. (Note: x = 182.8 yards and s = 2.9 yards.) The lower confidence bound is (Round to three decimal places as needed.) 1 0 Since the value of o lies the hypothesis test the (1a)-level lower confidence bound for , these results hypothesis. consistent with O Question 10 Repeat part (a) at the at th evidence to conclude that below level. At the 1% significance level, the data do not provide sufficient it the golfer wants. O Question 11 The lower confidence boul (Round to three decimal p Since the value of o lies above 0 the (1-a)-level lower confidence bound for , these results consistent with Question 12 the hypothesis test the null hypothesis. 00.-17.00 Question list K Question 6 For a right-tailed hypothesis test at the significance level , the null hypothesis Ho: =o will be rejected in favor of the alternative hypothesis Ha: >o if and only if o is less than or equal to the (1 - a)-level lower confidence bound for . Illustrate the preceding relationship by obtaining the lower confidence bound for the summary statistics provided. Click here to view page 1 of the t-table. Click here to view page 2 of the t-table. Question 7 O Question 8 a. The owner of a particular golf club has a company test the effectiveness of the golf club. A robot is used to test a particular golf club. The golfer wanted a club that, on average, would hit the ball more than 179.9 yards. A random sample of 6 identical balls were hit at the same speed. At the 5% significance level, the data provide sufficient evidence to conclude that the club does what the golfer wants. (Note: x = 182.8 yards and s = 2.9 yards.) The lower confidence bound is (Round to three decimal places as needed.) 1 of 2 0 of 2 Question 9 Question 10 Since the value of Ho lies the hypothesis test the (1-x)-level lower confidence bound for , these results the null hypothesis. consistent with Repeat part (a) at the at the 1% significance level. At the 1% significance level, the data do not evidence to conclude that the club does what the golfer wants. The lower confidence bound is Question 11 (Round to three decimal places as needed.) Since the value of Ho lies the (1 a)-level lower confidence bound for , these results Question 12 the hypothesis test the null hypothesis. are not are 0 of 2 consistent with stion list uestion 6 K (s) possible For a right-tailed hypothesis test at the significance level a, the null hypothesis Ho: =o will be rejected in favor of the alternative hypothesis Ha: > Ho if and only if o is less than or equal to the (1 - a)-level lower confidence bound for . Illustrate the preceding relationship by obtaining the lower confidence bound for the summary statistics provided. Click here to view page 1 of the t-table. Click here to view page 2 of the t-table. uestion 7 Repeat part (a) at the at the 1% significance level. At the 1% significance level, the data do not provide sufficient evidence to conclude that the club does what the golfer wants. 1 of 2 The lower confidence bound is uestion 8 (Round to three decimal places as needed.) 0 of 2 Since the value of Ho lies estion 9 the hypothesis test the (1a)-level lower confidence bound for , these results the null hypothesis. consistent with estion 10 estion 11 b. Alligators perform a spinning maneuver, referred to as a "death roll," to subdue their prey. Videos were taken of juvenile alligators performing this maneuver in a study. One of the variables measured was the degree of the angle between the body and head of the alligator while performing the roll. A sample of 20 rolls were taken. At the 5% significance level, the data provide sufficient evidence to conclude that, on average, the angle between the body and head of an alligator during a death roll is greater than 45. (Note: x = 49.5 and s = 10.7) The lower confidence bound is (Round to three decimal places as needed.) the (1a)-level lower confidence bound for , these results 0 of 2 consistent with Since the value of lies estion 12 the hypothesis test the null hypothesis.