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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. t-Distribution Table Claim: H = 52,700; @ = 0.01 Sample statistics: x = 54,028, s = 3000, n = 17 Click the icon to view the t-distribution table. Level of confidence, c 0.80 0.90 0.95 0.98 0.99 One tail, a 0.10 0.05 0.025 0.01 0.005 What are the null and alternative hypotheses? Choose the correct answer below. d.f. Two tails, a 0.20 0.10 0.05 0.02 0.01 d.f. 6.314 12.706 31.821 63.657 B. Ho: H = 52,700 3.078 O A. Ho: H 2 52,700 1.886 2.920 4.303 6.965 9.925 Ha: H #52,700 1.638 2.353 3.182 4.541 5.841 Ha: H 52,700 1.476 2.015 2.571 3.365 4.032 VAUDWN Ha: H = 52,700 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 NO 00 What is the value of the standardized test statistic? 9 1.383 1.833 2.262 2.821 3.250 The standardized test statistic is . (Round to two decimal places as needed.) 10 1.372 1.812 2.228 2.764 3.169 10 11 1.363 1.796 2.201 2.718 3.106 11 12 1.356 1.782 2.179 2.681 3.055 12 13 1.350 1.771 2.160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 15 1.341 1.753 2.131 2.602 2.947 15 16 1.337 1.746 2.120 2.583 2.921 16 17 1.333 1.740 2.110 2.567 2.898 17 18 1.330 1.734 2.101 2.552 2.878 18 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 22 1.321 1.717 2.074 2.508 2.819 22 23 1.319 1.714 2.069 2.500 2.807 23 24 1.318 1.711 2.064 2.492 2.797 24 25 1.316 1.708 2.060 2.485 2.787 25 26 1.315 1.706 2.056 2.479 2.779 26 27 1.314 1.703 2.052 2.473 2.771 27 28 1.313 1.701 2.048 2.467 2.763 28 29 1.311 1.699 2.045 2.462 2.756 29 30 1.310 1.697 2.042 2.457 2.750 30 31 1.309 1.696 2.040 2.453 2.744 31 32 1.309 1.694 2.037 2.449 2.738 32 33 1.308 1.692 2.035 2.445 2.733 33 34 1.307 1.691 2.032 2.441 2.728 34 35 1.306 1.690 2.030 2.438 2.724 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 40Use technology and 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: H > 78; a = 0.05 Sample statistics: x =78.8, s=3.6, n = 27 What are the null and alternative hypotheses? Choose the correct answer below. A. Ho: US 78 OB. Ho: H = 78 HA: [ > 78 HA: H # 78 O C. Ho: H2 78 OD. Ho: H # 78 HA: H