Use a t-test to test the claim about the population mean u at the given level of significance a using the given samp statistics. Assume the population is normally distributed. Claim: μ = 51,100; a=0.01 Sample statistics: x=51,527, s=2800, n = 20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: p251,100 B. Ho: p=51,100 H₂: <51,100 H₂:51,100 OC. Ho: $51,100 H.: >51,100 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) OD. Ho: μ#51,100 H₂: p=51,100

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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 = 51,100; x = 0.01 Sample statistics: x=51,527, s=2800, n=20
Click the icon to view the t-distribution table.
What are the null and alternative hypotheses? Choose the correct answer below.
OA. Ho: 251,100
Hgia <51,100
OC. Ho: HS51,100
H: >51,100
What is the value of the standardized test statistic?
The standardized test statistic is. (Round to two decimal places as needed.)
t-Distribution Table
d.f.
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30
d.f.
Level of
confidence, c
One tail, a
Two tails, a
B. Ho: 51,100
H₂:51,100
Level of
O D. Ho: μ*51,100
H₂:μ=51,100
0.99
0.80 0.90 0.95 0.98
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
1.476 2015 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
2.093
2.086
1.325 1.725
1.323 1.721
2.080 2.518
1.321 1,717
1.319 1.714
1.318 1.711
1.316 1.708 2.060
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
2.539
2.861
19
2.528 2.845 20
2.831 21
2.074 2.508 2.819 22
2.069 2.500 2.807 23
2.064 2.492 2.797 24
2.485 2.787 25
1.315 1.706 2.056 2.479 2.779 26
1.314 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 1.694 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
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
2.660 60
1.296 1.671 2.000
1.294 1.667 1.994
1.292 1.664 1.990
2.390
2.381
2.648 70
2.374
1.291 1.662 1.987 2.368
2.639 80
2.632
90
2.364 2.626 100
1,290 1.660 1.984
1.283 1.648 1.965 2.334 2.586 500
1.282 1.646 1.962 2.330
1.282 1.645 1.960 2.326
2.581 1000
2.576 30
d.f.
B
Check answer
Transcribed Image Text: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 = 51,100; x = 0.01 Sample statistics: x=51,527, s=2800, n=20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: 251,100 Hgia <51,100 OC. Ho: HS51,100 H: >51,100 What is the value of the standardized test statistic? The standardized test statistic is. (Round to two decimal places as needed.) 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 32 33 34 35 36 37 38 39 40 45 50 60 70 80 90 100 500 1000 30 d.f. Level of confidence, c One tail, a Two tails, a B. Ho: 51,100 H₂:51,100 Level of O D. Ho: μ*51,100 H₂:μ=51,100 0.99 0.80 0.90 0.95 0.98 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 1.476 2015 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 2.093 2.086 1.325 1.725 1.323 1.721 2.080 2.518 1.321 1,717 1.319 1.714 1.318 1.711 1.316 1.708 2.060 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 2.539 2.861 19 2.528 2.845 20 2.831 21 2.074 2.508 2.819 22 2.069 2.500 2.807 23 2.064 2.492 2.797 24 2.485 2.787 25 1.315 1.706 2.056 2.479 2.779 26 1.314 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 1.694 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 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 2.660 60 1.296 1.671 2.000 1.294 1.667 1.994 1.292 1.664 1.990 2.390 2.381 2.648 70 2.374 1.291 1.662 1.987 2.368 2.639 80 2.632 90 2.364 2.626 100 1,290 1.660 1.984 1.283 1.648 1.965 2.334 2.586 500 1.282 1.646 1.962 2.330 1.282 1.645 1.960 2.326 2.581 1000 2.576 30 d.f. B Check answer
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