Use a t-test to test the claim about the population mean µ at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ-52,500; a=0.05 Sample statistics: x=52,722, s= 1600, n=16 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: HS 52,500 H: 52,500 OC. Ho: 52,500 Ha H52,500 t-Distribution Table d.f. 1 2 3 4 5 6 7 8 9 10 11 ============*^*^*^2=========÷¥&§£=8888* 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 45 50 60 70 80 90 100 500 1000 d.f. Level of confidence, c One tail, a Two tails, a Level of CIT 1.299 1.692 1.691 OB. Ho: 252,500 H: 52,500 0.80 0.90 0.95 0.98 0.99 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01 d.f. 3.078 6.314 12.706 31.821 63.657 1 1.886 2.920 4.303 6.965 9.925 2 1.638 2.353 3.182 4.541 5.841 3 1.533 2.132 2.776 3.747 4.604 4 1.476 2.015 2.571 3.365 4.032 5 1.440 1.943 2.447 3.143 3.707 6 1.415 1.895 2.365 2.998 3.499 7 1.397 1.860 2.306 2.896 3.355 8 1.383 1.833 2.262 2.821 3.250 9 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 14 1.341 1.753 2.131 2.602 2.947 15 1.337 1.746 2.120 2.583 2.921 16 1.333 1.740 2.110 2.567 2.898 17 1.330 1.734 2.101 2.552 2.878 18 1.328 1.729 2.093 2.539 2.861 19 1.325 1.725 2.086 2.528 2.845 20 1.323 1.721 2.080 2.518 2.831 21 1.321 1.717 2.074 2.508 2.819 22 1.319 1.714 2.069 2.500 2.807 23 1.318 1.711 2.064 2.492 2.797 24 1.316 1.708 2.060 2485 2.787 25 1.315 1.706 2.056 2.479 2.779 26 1.703 2.052 2473 2.771 27 1.313 1.701 2.048 2.467 2.763 28 1.311 1.699 2.045 2.462 2.756 29 1.310 1.697 2.042 2.457 2.750 30 1.309 1.696 2.040 2.453 2.744 31 1.309 1.314 1.694 2.037 2.449 2.738 32 1.308 2.035 2.445 2.733 33 1.307 2.032 2.441 2.728 34 1.306 1.690 2.030 2.438 2.724 35 1.306 1.688 1.305 1.687 1.304 1.686 1.304 1.685 1.303 1.684 1.301 1.679 1.676 1.671 2.028 2.434 2.719 36 2.026 2.431 2.715 37 2.024 2.429 2.712 38 2.023 2.426 2.708 39 2.021 2.423 2.704 40 2014 2.412 2.690 45 2.009 2.403 2.678 50 2.000 2.390 2.660 60 1,994 2.381 2.648 70 1.990 2.374 2.639 80 1.296 1.294 1.667 1.292 1.664 1.291 1.662 1.987 2.368 2.632 90 1.290 1.660 1.984 2.364 2.626 100 1.283 1.648 1.965 2.334 2.586 500 1.282 1.646 1.962 2.330 2.581 1000 1.282 1.645 1.960 2.326 2.576 30 d.f. OD. Ho: 52,500 H₂H 52,500 X Check answer
Use a t-test to test the claim about the population mean µ at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ-52,500; a=0.05 Sample statistics: x=52,722, s= 1600, n=16 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: HS 52,500 H: 52,500 OC. Ho: 52,500 Ha H52,500 t-Distribution Table d.f. 1 2 3 4 5 6 7 8 9 10 11 ============*^*^*^2=========÷¥&§£=8888* 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 45 50 60 70 80 90 100 500 1000 d.f. Level of confidence, c One tail, a Two tails, a Level of CIT 1.299 1.692 1.691 OB. Ho: 252,500 H: 52,500 0.80 0.90 0.95 0.98 0.99 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01 d.f. 3.078 6.314 12.706 31.821 63.657 1 1.886 2.920 4.303 6.965 9.925 2 1.638 2.353 3.182 4.541 5.841 3 1.533 2.132 2.776 3.747 4.604 4 1.476 2.015 2.571 3.365 4.032 5 1.440 1.943 2.447 3.143 3.707 6 1.415 1.895 2.365 2.998 3.499 7 1.397 1.860 2.306 2.896 3.355 8 1.383 1.833 2.262 2.821 3.250 9 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 14 1.341 1.753 2.131 2.602 2.947 15 1.337 1.746 2.120 2.583 2.921 16 1.333 1.740 2.110 2.567 2.898 17 1.330 1.734 2.101 2.552 2.878 18 1.328 1.729 2.093 2.539 2.861 19 1.325 1.725 2.086 2.528 2.845 20 1.323 1.721 2.080 2.518 2.831 21 1.321 1.717 2.074 2.508 2.819 22 1.319 1.714 2.069 2.500 2.807 23 1.318 1.711 2.064 2.492 2.797 24 1.316 1.708 2.060 2485 2.787 25 1.315 1.706 2.056 2.479 2.779 26 1.703 2.052 2473 2.771 27 1.313 1.701 2.048 2.467 2.763 28 1.311 1.699 2.045 2.462 2.756 29 1.310 1.697 2.042 2.457 2.750 30 1.309 1.696 2.040 2.453 2.744 31 1.309 1.314 1.694 2.037 2.449 2.738 32 1.308 2.035 2.445 2.733 33 1.307 2.032 2.441 2.728 34 1.306 1.690 2.030 2.438 2.724 35 1.306 1.688 1.305 1.687 1.304 1.686 1.304 1.685 1.303 1.684 1.301 1.679 1.676 1.671 2.028 2.434 2.719 36 2.026 2.431 2.715 37 2.024 2.429 2.712 38 2.023 2.426 2.708 39 2.021 2.423 2.704 40 2014 2.412 2.690 45 2.009 2.403 2.678 50 2.000 2.390 2.660 60 1,994 2.381 2.648 70 1.990 2.374 2.639 80 1.296 1.294 1.667 1.292 1.664 1.291 1.662 1.987 2.368 2.632 90 1.290 1.660 1.984 2.364 2.626 100 1.283 1.648 1.965 2.334 2.586 500 1.282 1.646 1.962 2.330 2.581 1000 1.282 1.645 1.960 2.326 2.576 30 d.f. OD. Ho: 52,500 H₂H 52,500 X Check answer
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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Transcribed Image Text:K
Use a t-test to test the claim about the population mean μ at the given level of significance a using the given sample
statistics. Assume the population is normally distributed.
Claim: μ = 52,500; x = 0.05 Sample statistics: x=52,722, s= 1600, n = 16
Click the icon to view the t-distribution table.
What are the null and alternative hypotheses? Choose the correct answer below.
OB. H: 252,500
OA. Ho: 552,500
H:H52,500
H₂H52,500
OC. Ho: 52,500
H₂: #52,500
t-Distribution Table
d.f.
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d.f.
OD. Ho: #52,500
H₂=52,500
Level of
0.99
Two tails, a
confidence, c 0.80 0.90 0.95 0.98
One tail, a 0.10 0.05 0.025 0.01 0.005
0.20 0.10 0.05 0.02 0.01 d.f.
3.078 6.314 12.706 31.821 63.657 1
1.886 2.920 4.303 6.965
9.925 2
1.638 2.353 3.182 4.541 5.841 3
3.747 4.604 4
3.365 4.032 5
1.533 2.132 2.776
1.476 2.015 2.571
1.440 1.943 2.447 3.143 3.707 6
1.415 1.895 2.365 2.998 3.499 7
1.397 1.860
1.383 1.833
2.306 2.896 3.355 8
2.262 2.821 3.250
9
2.228 2.764 3.169 10
1.372 1.812
1.363 1.796
2.718 3.106 11
2.681 3.055 12
16
16
2.201
1.356 1.782 2.179
1.350 1.771 2.160 2.650 3.012 13
1.345 1.761 2.145 2.624 2.977 14
1.341 1.753 2.131 2.602
2.947
15
1.337 1.746 2.120 2.583 2.921
1.333 1.740 2.110 2.567 2.898 17
1.330 1.734 2.101 2.552 2.878 18
1.328 1.729 2.093 2.539 2.861 19
1.325 1.725 2.086 2.528 2.845 20
1.323 1.721 2.080 2.518 2.831 21
1.321 1.717 2.074 2.508 2.819 22
1.319 1,714 2.069 2.500 2.807 23
2.064 2.492 2.797 24
2.060 2.485 2.787 25
1.706 2.056 2.479 2.779 26
1.314 1.703 2.052 2.473 2.771 27
1.318 1,711
1.316 1.708
1.315
1.313 1.701
2.048 2.467 2.763 28
1.311 1.699 2.045 2.462 2.756 29
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 32
2.035 2.445 2.733 33
2.032 2,441 2.728 34
2.030 2.438 2.724 35
1.308 1.692
1.307 1.691
1.306 1.690
1.306 1.688 2.028
2.434 2.719 36
1.305 1.687 2.026
2.431 2.715 37
1.304 1.686
2.024 2.429 2.712 38
1.304 1.685 2.023 2.426 2.708 39
1.303 1.684 2.021 2.423 2.704 40
1.301 1.679 2014 2.412 2.690 45
1.299 1.676 2.009 2.403 2.678 50
1.296 1.671 2.000
2.390 2.660 60
1.294 1.667 1.994 2.381 2.648 70
1.292 1.664 1.990 2.374 2.639 80
1.291 1.662 1.987 2.368 2.632 90
1.290 1.660
1.984 2.364 2.626 100
1.283 1.648
1.965 2.334 2.586 500
1.282 1.646 1.962 2.330 2.581 1000
1.282 1.645 1.960 2.326 2.576 DO
d.f.
Level of
D
- X
Check answer
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