Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ=51,400; α=0.01 Sample statistics: x=50,538, s=1400, n=16 LOADING... Click the icon to view the t-distribution table. Level of confidence, c0.800.900.950.980.99 One tails, α0.100.050.0250.010.005 d.f. Two tails, α 0.20 0.10 0.05 0.02 0.01 1 3.078 6.314 12.706 31.821 63.657 2 1.886 2.920 4.303 6.965 9.925 3 1.638 2.353 3.182 4.541 5.841 4 1.533 2.132 2.776 3.747 4.604 5 1.476 2.015 2.571 3.365 4.032 6 1.440 1.943 2.447 3.143 3.707 7 1.415 1.895 2.365 2.998 3.499 8 1.397 1.860 2.306 2.896 3.355 9 1.383 1.833 2.262 2.821 3.250 10 1.372 1.812 2.228 2.764 3.169 11 1.363 1.796 2.201 2.718 3.106 12 1.356 1.782 2.179 2.681 3.055 13 1.350 1.771 2.160 2.650 3.012 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24 1.318 1.711 2.064 2.492 2.797 25 1.316 1.708 2.060 2.485 2.787 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 29 1.311 1.699 2.045 2.462 2.756 30 1.310 1.697 2.042 2.457 2.750 31 1.309 1.696 2.040 2.453 2.744 32 1.309 1.694 2.037 2.449 2.738 33 1.308 1.692 2.035 2.445 2.733 34 1.307 1.691 2.032 2.441 2.728 35 1.306 1.690 2.030 2.438 2.724 36 1.306 1.688 2.028 2.434 2.719 37 1.305 1.687 2.026 2.431 2.715 38 1.304 1.686 2.024 2.429 2.712 39 1.304 1.685 2.023 2.426 2.708 40 1.303 1.684 2.021 2.423 2.704 45 1.301 1.679 2.014 2.412 2.690 50 1.299 1.676 2.009 2.403 2.678 60 1.296 1.671 2.000 2.390 2.660 70 1.294 1.667 1.994 2.381 2.648 80 1.292 1.664 1.990 2.374 2.639 90 1.291 1.662 1.987 2.368 2.632 100 1.290 1.660 1.984 2.364 2.626 500 1.283 1.648 1.965 2.334 2.586 1000 1.282 1.646 1.962 2.330 2.581 &inf; 1.282 1.645 1.960 2.326 2.576 What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≠51,400 Ha: μ=51,400 B. H0: μ≥51,400 Ha: μ<51,400 C. H0: μ≤51,400 Ha: μ>51,400 D. H0: μ=51,400 Ha: μ≠

Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ=51,400; α=0.01 Sample statistics: x=50,538, s=1400, n=16 LOADING... Click the icon to view the t-distribution table. Level of confidence, c0.800.900.950.980.99 One tails, α0.100.050.0250.010.005 d.f. Two tails, α 0.20 0.10 0.05 0.02 0.01 1 3.078 6.314 12.706 31.821 63.657 2 1.886 2.920 4.303 6.965 9.925 3 1.638 2.353 3.182 4.541 5.841 4 1.533 2.132 2.776 3.747 4.604 5 1.476 2.015 2.571 3.365 4.032 6 1.440 1.943 2.447 3.143 3.707 7 1.415 1.895 2.365 2.998 3.499 8 1.397 1.860 2.306 2.896 3.355 9 1.383 1.833 2.262 2.821 3.250 10 1.372 1.812 2.228 2.764 3.169 11 1.363 1.796 2.201 2.718 3.106 12 1.356 1.782 2.179 2.681 3.055 13 1.350 1.771 2.160 2.650 3.012 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24 1.318 1.711 2.064 2.492 2.797 25 1.316 1.708 2.060 2.485 2.787 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 29 1.311 1.699 2.045 2.462 2.756 30 1.310 1.697 2.042 2.457 2.750 31 1.309 1.696 2.040 2.453 2.744 32 1.309 1.694 2.037 2.449 2.738 33 1.308 1.692 2.035 2.445 2.733 34 1.307 1.691 2.032 2.441 2.728 35 1.306 1.690 2.030 2.438 2.724 36 1.306 1.688 2.028 2.434 2.719 37 1.305 1.687 2.026 2.431 2.715 38 1.304 1.686 2.024 2.429 2.712 39 1.304 1.685 2.023 2.426 2.708 40 1.303 1.684 2.021 2.423 2.704 45 1.301 1.679 2.014 2.412 2.690 50 1.299 1.676 2.009 2.403 2.678 60 1.296 1.671 2.000 2.390 2.660 70 1.294 1.667 1.994 2.381 2.648 80 1.292 1.664 1.990 2.374 2.639 90 1.291 1.662 1.987 2.368 2.632 100 1.290 1.660 1.984 2.364 2.626 500 1.283 1.648 1.965 2.334 2.586 1000 1.282 1.646 1.962 2.330 2.581 &inf; 1.282 1.645 1.960 2.326 2.576 What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≠51,400 Ha: μ=51,400 B. H0: μ≥51,400 Ha: μ<51,400 C. H0: μ≤51,400 Ha: μ>51,400 D. H0: μ=51,400 Ha: μ≠

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Use a t-test to test the claim about the population mean

at the given level of significance

using the given sample statistics. Assume the population is normally distributed.

Claim:

μ=51,400;

α=0.01

Sample statistics:

x=50,538,

s=1400,

n=16

Click the icon to view the t-distribution table.

Level of confidence, c0.800.900.950.980.99

One tails, α0.100.050.0250.010.005

d.f. Two tails, α 0.20 0.10 0.05 0.02 0.01

1 3.078 6.314 12.706 31.821 63.657

2 1.886 2.920 4.303 6.965 9.925

3 1.638 2.353 3.182 4.541 5.841

4 1.533 2.132 2.776 3.747 4.604

5 1.476 2.015 2.571 3.365 4.032

6 1.440 1.943 2.447 3.143 3.707

7 1.415 1.895 2.365 2.998 3.499

8 1.397 1.860 2.306 2.896 3.355

9 1.383 1.833 2.262 2.821 3.250

10 1.372 1.812 2.228 2.764 3.169

11 1.363 1.796 2.201 2.718 3.106

12 1.356 1.782 2.179 2.681 3.055

13 1.350 1.771 2.160 2.650 3.012

14 1.345 1.761 2.145 2.624 2.977

15 1.341 1.753 2.131 2.602 2.947

16 1.337 1.746 2.120 2.583 2.921

17 1.333 1.740 2.110 2.567 2.898

18 1.330 1.734 2.101 2.552 2.878

19 1.328 1.729 2.093 2.539 2.861

20 1.325 1.725 2.086 2.528 2.845

21 1.323 1.721 2.080 2.518 2.831

22 1.321 1.717 2.074 2.508 2.819

23 1.319 1.714 2.069 2.500 2.807

24 1.318 1.711 2.064 2.492 2.797

25 1.316 1.708 2.060 2.485 2.787

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

29 1.311 1.699 2.045 2.462 2.756

30 1.310 1.697 2.042 2.457 2.750

31 1.309 1.696 2.040 2.453 2.744

32 1.309 1.694 2.037 2.449 2.738

33 1.308 1.692 2.035 2.445 2.733

34 1.307 1.691 2.032 2.441 2.728

35 1.306 1.690 2.030 2.438 2.724

36 1.306 1.688 2.028 2.434 2.719

37 1.305 1.687 2.026 2.431 2.715

38 1.304 1.686 2.024 2.429 2.712

39 1.304 1.685 2.023 2.426 2.708

40 1.303 1.684 2.021 2.423 2.704

45 1.301 1.679 2.014 2.412 2.690

50 1.299 1.676 2.009 2.403 2.678

60 1.296 1.671 2.000 2.390 2.660

70 1.294 1.667 1.994 2.381 2.648

80 1.292 1.664 1.990 2.374 2.639

90 1.291 1.662 1.987 2.368 2.632

100 1.290 1.660 1.984 2.364 2.626

500 1.283 1.648 1.965 2.334 2.586

1000 1.282 1.646 1.962 2.330 2.581

&inf; 1.282 1.645 1.960 2.326 2.576

What are the null and alternative hypotheses? Choose the correct answer below.

H0:

μ≠51,400

Ha:

μ=51,400

H0:

μ≥51,400

Ha:

μ<51,400

H0:

μ≤51,400

Ha:

μ>51,400

H0:

μ=51,400

Ha:

μ≠

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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