Use a t-test to test the claim about the population mean u 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: $ 52,500 H₂:μ> 52,500 H₂H<52,500 OC. H: 52,500 H: #52,500 OD. H: #52,500 H₂=52,500

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
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.
OA. Ho: $ 52,500
OB. Ho: 252,500
H₂: > 52,500
H₂H<52,500
OC. Ho: 52,500
H₂: μ#52,500
t-Distribution Table
d.f.
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88888888六合台岗UEEE8就
1000
Level of
confidence, c
One tail, a
Two tails, a
O D. Ho: 52,500
H₂: 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 2518 2.831 21
1.321 1.717 2.074 2.508
1.319 1.714 2.069 2.500 2.807 23
1.318 1.711 2.064 2.492
2.797 24
2.060 2.485 2.787 25
2.056 2.479 2.779 26
2.052 2.473 2.771 27
1.313 1.701 2.048 2.467 2.763 28
1.311 1.699 2.045 2.462
1.310 1.697 2.042 2.457
2.819 22
1.316 1.708
1.315 1,706
1.314 1,703
2.756 29
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
1.308 1.692 2.035 2.445 2.733 33
1.307 1.691 2.032 2.441 2.728 34
1.306 1.690 2.030 2.438
2.724 35
2.719 36
1.306 1.688 2.028
1.305 1.687 2.026
1,304 1.686 2.024
1.304 1.685 2.023
1.303 1.684 2.021
2.434
2.431 2.715 37
2.429 2.712 38
2.426 2.708 39
2.423 2.704 40
1.301 1.679 2.014 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
2.586 500
2.581 1000
2.576
1.283 1.648 1.965 2.334
1.282 1.646 1.962 2.330
1.282 1.645 1.960 2.326
- X
Check answer
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. OA. Ho: $ 52,500 OB. Ho: 252,500 H₂: > 52,500 H₂H<52,500 OC. Ho: 52,500 H₂: μ#52,500 t-Distribution Table d.f. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 88888888六合台岗UEEE8就 1000 Level of confidence, c One tail, a Two tails, a O D. Ho: 52,500 H₂: 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 2518 2.831 21 1.321 1.717 2.074 2.508 1.319 1.714 2.069 2.500 2.807 23 1.318 1.711 2.064 2.492 2.797 24 2.060 2.485 2.787 25 2.056 2.479 2.779 26 2.052 2.473 2.771 27 1.313 1.701 2.048 2.467 2.763 28 1.311 1.699 2.045 2.462 1.310 1.697 2.042 2.457 2.819 22 1.316 1.708 1.315 1,706 1.314 1,703 2.756 29 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 1.308 1.692 2.035 2.445 2.733 33 1.307 1.691 2.032 2.441 2.728 34 1.306 1.690 2.030 2.438 2.724 35 2.719 36 1.306 1.688 2.028 1.305 1.687 2.026 1,304 1.686 2.024 1.304 1.685 2.023 1.303 1.684 2.021 2.434 2.431 2.715 37 2.429 2.712 38 2.426 2.708 39 2.423 2.704 40 1.301 1.679 2.014 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 2.586 500 2.581 1000 2.576 1.283 1.648 1.965 2.334 1.282 1.646 1.962 2.330 1.282 1.645 1.960 2.326 - X Check answer
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