Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance $\alpha$, and sample size $n$ Left-tailed test, $\alpha = 0.01$, $n = 9$ Click the icon to view the t-distribution table. t-Distribution Table The critical value(s) is/are (Round to the nearest thousandth as needed. Use a comma to separate answers as needed) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice (Round to the nearest thousandth as needed) A. $t <$ and $t >$ B. $t <$ C. $t <$
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Step 2 To find P(-1.99 ≤ z ≤ 0.44), subtract the area to the left of z = -1.99 from the area to the left of z = 0.44. Tables can be used to find areas to the left of z values. Along the leftmost column are values of z precise to one decimal place. Trace along the necessary row until you get to the column for the needed hundredths place. The value where the row and column intersect is the area under the curve to the left of that z value. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 Use the table excerpt above to find the area under the standard normal curve to the left of z = -1.99, P(z ≤ -1.99). P(z ≤ -1.99) = -1.99 z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 Use the table excerpt above to find the area under the standard normal curve to the left of z = 0.44, P(z ≤ 0.44). P(z ≤ 0.44) = .44
Adi S.
The entries in Table II are values for which the area to their right under the t distribution with given degrees of freedom (the gray area in the figure) is equal to ̑. TABLE II VALUE OF t d.f. t0.050 t0.025 t0.010 t0.005 d.f. 1 6.314 12.706 31.821 63.657 1 2 2.920 4.303 6.965 9.925 2 3 2.353 3.182 4.541 5.841 3 4 2.132 2.776 3.747 4.604 4 5 2.015 2.571 3.365 4.032 5 6 1.943 2.447 3.143 3.707 6 7 1.895 2.365 2.998 3.499 7 8 1.860 2.306 2.896 3.355 8 9 1.833 2.262 2.821 3.250 9 10 1.812 2.228 2.764 3.169 10 11 1.796 2.201 2.718 3.106 11 12 1.782 2.179 2.681 3.055 12 13 1.771 2.160 2.650 3.012 13 14 1.761 2.145 2.624 2.977 14 15 1.753 2.131 2.602 2.947 15 16 1.746 2.120 2.583 2.921 16 17 1.740 2.110 2.567 2.898 17 18 1.734 2.101 2.552 2.878 18 19 1.729 2.093 2.539 2.861 19 20 1.725 2.086 2.528 2.845 20 21 1.721 2.080 2.518 2.831 21 22 1.717 2.074 2.508 2.819 22 23 1.714 2.069 2.500 2.807 23 24 1.711 2.064 2.492 2.797 24 25 1.708 2.060 2.485 2.787 25 26 1.706 2.056 2.479 2.779 26 27 1.703 2.052 2.473 2.771 27 28 1.701 2.048 2.467 2.763 28 29 1.699 2.045 2.462 2.756 29 Inf. 1.645 1.960 2.326 2.576 Inf.
T. L.
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