Liberal Arts Mathematics II

Time and Date Stamps (logged): 17:12:20 06-10-2020 ｰｶ涓ｱ浤ｯｯｵ涓ｯ浤ｯｱｯ Liberal Arts Mathematics II

Liberal Arts Mathematics II Chapter 12 Test

10-05-2001 16:20:25

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Write on ONE SIDE of paper only
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Instructions:

Test is to be taken without reference to text or outside notes.
Graphing Calculator is allowed, as is blank paper or testing center paper.
No time limit but test is to be taken in one sitting.
Please place completed test in Dave Smith's folder, OR mail to Dave Smith, Science and Engineering, Va. Highlands CC, Abingdon, Va., 24212-0828 OR email copy of document to dsmith@vhcc.edu, OR fax to 276-739-2590. Test must be returned by individual or agency supervising test. Test is not to be returned to student after it has been taken. Student may, if proctor deems it feasible, make and retain a copy of the test..

Directions for Student:

Completely document your work.
Numerical answers should be correct to 3 significant figures. You may round off given numerical information to a precision consistent with this standard.
Undocumented and unjustified answers may be counted wrong, and in the case of two-choice or limited-choice answers (e.g., true-false or yes-no) will be counted wrong. Undocumented and unjustified answers, if wrong, never get partial credit. So show your work and explain your reasoning.
Due to a scanner malfunction and other errors some test items may be hard to read, incomplete or even illegible. If this is judged by the instructor to be the case you will not be penalized for these items, but if you complete them and if they help your grade they will be counted. Therefore it is to your advantage to attempt to complete them, if necessary sensibly filling in any questionable parts.
Please write on one side of paper only, and staple test pages together.

Test Problems:

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Problem Number 1

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Problem Number 2

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Problem Number 3

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Problem Number 4

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Problem Number 5

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Problem Number 6

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Problem Number 7

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Problem Number 8

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Problem Number 9

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Problem Number 10

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Problem Number 11

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Problem Number 12

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Problem Number 13

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Problem Number 14

regression line:

a = [ n sum(xy) - sum(x) sum(y) ] / [ n sum(x^2) - (sum(x))^2 ]
b = [ sum(y) - a sum(x) ] / n

correlation coefficient:

r = [ n sum(xy) - sum(x) sum(y) ] / { sqrt[ n sum(x^2) - (sum(x))^2 ] sqrt[ n sum(y^2) - (sum(y))^2 ] }

Table of z values and area under normal curve between z = 0 and given z value.

| z= .01 area= .004 | z= .81 area= .291 | z= 1.61 area= .446 | z= 2.41 area= .492 | z= 3.21 area= .499

| z= .02 area= .008 | z= .82 area= .294 | z= 1.62 area= .447 | z= 2.42 area= .492 | z= 3.22 area= .499

| z= .03 area= .012 | z= .83 area= .297 | z= 1.63 area= .448 | z= 2.43 area= .492 | z= 3.23 area= .499

| z= .04 area= .016 | z= .84 area= .299 | z= 1.64 area= .449 | z= 2.44 area= .493 | z= 3.24 area= .499

| z= .05 area= .02 | z= .85 area= .302 | z= 1.65 area= .45 | z= 2.45 area= .493 | z= 3.25 area= .499

| z= .06 area= .024 | z= .86 area= .305 | z= 1.66 area= .451 | z= 2.46 area= .493 | z= 3.26 area= .499

| z= .07 area= .028 | z= .87 area= .308 | z= 1.67 area= .452 | z= 2.47 area= .493 | z= 3.27 area= .499

| z= .08 area= .032 | z= .88 area= .31 | z= 1.68 area= .453 | z= 2.48 area= .493 | z= 3.28 area= .499

| z= .09 area= .036 | z= .89 area= .313 | z= 1.69 area= .454 | z= 2.49 area= .494 | z= 3.29 area= .499

| z= .1 area= .04 | z= .9 area= .316 | z= 1.7 area= .455 | z= 2.5 area= .494 | z= 3.3 area= .499

| z= .11 area= .044 | z= .91 area= .318 | z= 1.71 area= .456 | z= 2.51 area= .494 | z= 3.31 area= .499

| z= .12 area= .048 | z= .92 area= .321 | z= 1.72 area= .457 | z= 2.52 area= .494 | z= 3.32 area= .499

| z= .13 area= .052 | z= .93 area= .324 | z= 1.73 area= .458 | z= 2.53 area= .494 | z= 3.33 area= .499

| z= .14 area= .056 | z= .94 area= .326 | z= 1.74 area= .459 | z= 2.54 area= .494 | z= 3.34 area= .499

| z= .15 area= .06 | z= .95 area= .329 | z= 1.75 area= .46 | z= 2.55 area= .495 | z= 3.35 area= .499

| z= .16 area= .063 | z= .96 area= .331 | z= 1.76 area= .461 | z= 2.56 area= .495 | z= 3.36 area= .5

| z= .17 area= .067 | z= .97 area= .334 | z= 1.77 area= .462 | z= 2.57 area= .495 | z= 3.37 area= .5

| z= .18 area= .071 | z= .98 area= .336 | z= 1.78 area= .462 | z= 2.58 area= .495 | z= 3.38 area= .5

| z= .19 area= .075 | z= .99 area= .339 | z= 1.79 area= .463 | z= 2.59 area= .495 | z= 3.39 area= .5

| z= .2 area= .079 | z= 1 area= .341 | z= 1.8 area= .464 | z= 2.6 area= .495 | z= 3.4 area= .5

| z= .21 area= .083 | z= 1.01 area= .344 | z= 1.81 area= .465 | z= 2.61 area= .495 | z= 3.41 area= .5

| z= .22 area= .087 | z= 1.02 area= .346 | z= 1.82 area= .466 | z= 2.62 area= .495 | z= 3.42 area= .5

| z= .23 area= .091 | z= 1.03 area= .348 | z= 1.83 area= .466 | z= 2.63 area= .496 | z= 3.43 area= .5

| z= .24 area= .095 | z= 1.04 area= .351 | z= 1.84 area= .467 | z= 2.64 area= .496 | z= 3.44 area= .5

| z= .25 area= .099 | z= 1.05 area= .353 | z= 1.85 area= .468 | z= 2.65 area= .496 | z= 3.45 area= .5

| z= .26 area= .102 | z= 1.06 area= .355 | z= 1.86 area= .468 | z= 2.66 area= .496 | z= 3.46 area= .5

| z= .27 area= .106 | z= 1.07 area= .358 | z= 1.87 area= .469 | z= 2.67 area= .496 | z= 3.47 area= .5

| z= .28 area= .11 | z= 1.08 area= .36 | z= 1.88 area= .47 | z= 2.68 area= .496 | z= 3.48 area= .5

| z= .29 area= .114 | z= 1.09 area= .362 | z= 1.89 area= .471 | z= 2.69 area= .496 | z= 3.49 area= .5

| z= .3 area= .118 | z= 1.1 area= .364 | z= 1.9 area= .471 | z= 2.7 area= .496 | z= 3.5 area= .5

| z= .31 area= .122 | z= 1.11 area= .366 | z= 1.91 area= .472 | z= 2.71 area= .497 | z= 3.51 area= .5

| z= .32 area= .125 | z= 1.12 area= .369 | z= 1.92 area= .472 | z= 2.72 area= .497 | z= 3.52 area= .5

| z= .33 area= .129 | z= 1.13 area= .371 | z= 1.93 area= .473 | z= 2.73 area= .497 | z= 3.53 area= .5

| z= .34 area= .133 | z= 1.14 area= .373 | z= 1.94 area= .474 | z= 2.74 area= .497 | z= 3.54 area= .5

| z= .35 area= .137 | z= 1.15 area= .375 | z= 1.95 area= .474 | z= 2.75 area= .497 | z= 3.55 area= .5

| z= .36 area= .14 | z= 1.16 area= .377 | z= 1.96 area= .475 | z= 2.76 area= .497 | z= 3.56 area= .5

| z= .37 area= .144 | z= 1.17 area= .379 | z= 1.97 area= .475 | z= 2.77 area= .497 | z= 3.57 area= .5

| z= .38 area= .148 | z= 1.18 area= .381 | z= 1.98 area= .476 | z= 2.78 area= .497 | z= 3.58 area= .5

| z= .39 area= .152 | z= 1.19 area= .383 | z= 1.99 area= .477 | z= 2.79 area= .497 | z= 3.59 area= .5

| z= .4 area= .155 | z= 1.2 area= .385 | z= 2 area= .477 | z= 2.8 area= .497 | z= 3.6 area= .5

| z= .41 area= .159 | z= 1.21 area= .387 | z= 2.01 area= .478 | z= 2.81 area= .497 | z= 3.61 area= .5

| z= .42 area= .163 | z= 1.22 area= .389 | z= 2.02 area= .478 | z= 2.82 area= .497 | z= 3.62 area= .5

| z= .43 area= .166 | z= 1.23 area= .391 | z= 2.03 area= .479 | z= 2.83 area= .498 | z= 3.63 area= .5

| z= .44 area= .17 | z= 1.24 area= .392 | z= 2.04 area= .479 | z= 2.84 area= .498 | z= 3.64 area= .5

| z= .45 area= .174 | z= 1.25 area= .394 | z= 2.05 area= .48 | z= 2.85 area= .498 | z= 3.65 area= .5

| z= .46 area= .177 | z= 1.26 area= .396 | z= 2.06 area= .48 | z= 2.86 area= .498 | z= 3.66 area= .5

| z= .47 area= .181 | z= 1.27 area= .398 | z= 2.07 area= .481 | z= 2.87 area= .498 | z= 3.67 area= .5

| z= .48 area= .184 | z= 1.28 area= .4 | z= 2.08 area= .481 | z= 2.88 area= .498 | z= 3.68 area= .5

| z= .49 area= .188 | z= 1.29 area= .401 | z= 2.09 area= .482 | z= 2.89 area= .498 | z= 3.69 area= .5

| z= .5 area= .191 | z= 1.3 area= .403 | z= 2.1 area= .482 | z= 2.9 area= .498 | z= 3.7 area= .5

| z= .51 area= .195 | z= 1.31 area= .405 | z= 2.11 area= .482 | z= 2.91 area= .498 | z= 3.71 area= .5

| z= .52 area= .198 | z= 1.32 area= .406 | z= 2.12 area= .483 | z= 2.92 area= .498 | z= 3.72 area= .5

| z= .53 area= .202 | z= 1.33 area= .408 | z= 2.13 area= .483 | z= 2.93 area= .498 | z= 3.73 area= .5

| z= .54 area= .205 | z= 1.34 area= .41 | z= 2.14 area= .484 | z= 2.94 area= .498 | z= 3.74 area= .5

| z= .55 area= .209 | z= 1.35 area= .411 | z= 2.15 area= .484 | z= 2.95 area= .498 | z= 3.75 area= .5

| z= .56 area= .212 | z= 1.36 area= .413 | z= 2.16 area= .485 | z= 2.96 area= .498 | z= 3.76 area= .5

| z= .57 area= .216 | z= 1.37 area= .415 | z= 2.17 area= .485 | z= 2.97 area= .498 | z= 3.77 area= .5

| z= .58 area= .219 | z= 1.38 area= .416 | z= 2.18 area= .485 | z= 2.98 area= .498 | z= 3.78 area= .5

| z= .59 area= .222 | z= 1.39 area= .418 | z= 2.19 area= .486 | z= 2.99 area= .499 | z= 3.79 area= .5

| z= .6 area= .226 | z= 1.4 area= .419 | z= 2.2 area= .486 | z= 3 area= .499 | z= 3.8 area= .5

| z= .61 area= .229 | z= 1.41 area= .421 | z= 2.21 area= .486 | z= 3.01 area= .499 | z= 3.81 area= .5

| z= .62 area= .232 | z= 1.42 area= .422 | z= 2.22 area= .487 | z= 3.02 area= .499 | z= 3.82 area= .5

| z= .63 area= .236 | z= 1.43 area= .424 | z= 2.23 area= .487 | z= 3.03 area= .499 | z= 3.83 area= .5

| z= .64 area= .239 | z= 1.44 area= .425 | z= 2.24 area= .487 | z= 3.04 area= .499 | z= 3.84 area= .5

| z= .65 area= .242 | z= 1.45 area= .426 | z= 2.25 area= .488 | z= 3.05 area= .499 | z= 3.85 area= .5

| z= .66 area= .245 | z= 1.46 area= .428 | z= 2.26 area= .488 | z= 3.06 area= .499 | z= 3.86 area= .5

| z= .67 area= .248 | z= 1.47 area= .429 | z= 2.27 area= .488 | z= 3.07 area= .499 | z= 3.87 area= .5

| z= .68 area= .252 | z= 1.48 area= .43 | z= 2.28 area= .489 | z= 3.08 area= .499 | z= 3.88 area= .5

| z= .69 area= .255 | z= 1.49 area= .432 | z= 2.29 area= .489 | z= 3.09 area= .499 | z= 3.89 area= .5

| z= .7 area= .258 | z= 1.5 area= .433 | z= 2.3 area= .489 | z= 3.1 area= .499 | z= 3.9 area= .5

| z= .71 area= .261 | z= 1.51 area= .434 | z= 2.31 area= .489 | z= 3.11 area= .499 | z= 3.91 area= .5

| z= .72 area= .264 | z= 1.52 area= .436 | z= 2.32 area= .49 | z= 3.12 area= .499 | z= 3.92 area= .5

| z= .73 area= .267 | z= 1.53 area= .437 | z= 2.33 area= .49 | z= 3.13 area= .499 | z= 3.93 area= .5

| z= .74 area= .27 | z= 1.54 area= .438 | z= 2.34 area= .49 | z= 3.14 area= .499 | z= 3.94 area= .5

| z= .75 area= .273 | z= 1.55 area= .439 | z= 2.35 area= .491 | z= 3.15 area= .499 | z= 3.95 area= .5

| z= .76 area= .276 | z= 1.56 area= .441 | z= 2.36 area= .491 | z= 3.16 area= .499 | z= 3.96 area= .5

| z= .77 area= .279 | z= 1.57 area= .442 | z= 2.37 area= .491 | z= 3.17 area= .499 | z= 3.97 area= .5

| z= .78 area= .282 | z= 1.58 area= .443 | z= 2.38 area= .491 | z= 3.18 area= .499 | z= 3.98 area= .5

| z= .79 area= .285 | z= 1.59 area= .444 | z= 2.39 area= .491 | z= 3.19 area= .499 | z= 3.99 area= .5

| z= .8 area= .288 | z= 1.6 area= .445 | z= 2.4 area= .492 | z= 3.2 area= .499 | z= 4 area= .5