Given X~ N (30,16), where 30 is the mean and 16 is the variance. What is...

Transcribed Image Text:

Given X~ N (30,16), where 30 is the mean and 16 is the variance. What is the value of x that has a z-score of 2.1? Select one or more: O a. 2.1 Ob. 28.66 O C. 28.1 Od. 38.4 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .06 .01 .00005 .02 .03 .00004 .04 .05 ,00004 .07 .08 .09 -3.9 .00005 .00004 .00004 .00004 .00004 .00003 00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00008 -3.6 00016 .00015 .00015 .00014 .00014 00013 .00013 .00012 .00012 .00011 00022 .00021 .00022 .00032 -3.5 .00023 .00020 .00019 .00019 .00018 .00017 .00017 -3.4 .00034 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 .00048 .00047 .00045 .00043 .00042 00040 .00039 .00038 .00036 00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00050 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00071 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100 -2.9 .00187 .00181 .00175 .00169 .00164 00159 .00154 .00149 .00144 .00139 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00193 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00264 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 .00604 .00587 .00554 .00539 .00523 .00508 .00676 .00494 .00657 -2.5 .00621 .00570 .00480 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00639 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.2 .01390 .01355 .01321 .01287 .01255 .01222 01191 .01160 .01130 01101 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01426 -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02330 -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02938 -1.7 .04457 .04363 .04272 .04182 .04093 .04006 03920 .03836 .03754 .03673 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04551 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 05938 .05821 .05705 05592 -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06811 -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08226 -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11702 -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13786 -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16109 -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18673 -0.7 .24196 23885 .23576 .23270 .22965 .22663 22363 .22065 .21770 .21476 -0.6 .27425 .27093 .26763 .26435 26109 25785 .25463 .25143 .24825 24510 .30854 .30503 .34090 -0.5 30153 .29806 .29460 .29116 .28774 .28434 .28096 .27760 -0.4 .34458 33724 .33360 32997 .32636 32276 .31918 .31561 31207 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34827 -0,2 42074 41683 .41294 40905 40517 40129 .39743 39358 38974 38591 -0.1 46017 .45620 45224 .44828 .44433 44038 43644 .43251 42858 .42465 -0.0 50000 49601 .49202 .48803 48405 48006 47608 47210 46812 46414 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173 0.4 .65542 .65910 66276 .66640 .67003 .67364 .67724 68082 .68439 .68793 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327 0.9 .81594 .81859 .82121 .82381 .82639 .82894 .83147 .83398 83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 90320 90490 90658 .90824 .90988 .91149 91309 .91466 91621 .91774 1.4 91924 .92073 .92220 92364 92507 .92647 92785 92922 93056 .93189 1.5 .93319 .93448 .93574 .93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 94520 94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 95543 .95637 .95728 .95818 .95907 95994 96080 96164 .96246 .96327 1.8 96407 .96485 .96562 .96638 .96712 96784 .96856 96926 96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 97670 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 98257 .98300 .98341 98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 99461 .99477 .99492 .99506 99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 99653 99664 99674 .99683 99693 .99702 .99711 99720 99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 99795 .99801 99807 2.9 .99813 .99819 .99825 .99831 .99836 .99841 .99846 .99851 .99856 .99861 3.0 99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 .99942 99960 3.2 .99931 .99934 .99936 .99938 .99940 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 99957 .99958 .99961 99962 99964 .99965 3.4 .99966 99968 99969 99970 .99971 .99972 .99973 99974 99975 99976 3.5 99977 .99978 99978 99979 .99980 99981 99981 .99982 .99983 .99983 3.6 .99984 99985 99985 .99986 99986 99987 .99987 99988 99988 99989 3.7 .99989 99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 99993 99993 99993 .99994 99994 99994 99994 99995 99995 99995 3.9 99995 99995 99996 99996 .99996 .99996 99996 99996 .99997 99997 Given X~ N (30,16), where 30 is the mean and 16 is the variance. What is the value of x that has a z-score of 2.1? Select one or more: O a. 2.1 Ob. 28.66 O C. 28.1 Od. 38.4 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .06 .01 .00005 .02 .03 .00004 .04 .05 ,00004 .07 .08 .09 -3.9 .00005 .00004 .00004 .00004 .00004 .00003 00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00008 -3.6 00016 .00015 .00015 .00014 .00014 00013 .00013 .00012 .00012 .00011 00022 .00021 .00022 .00032 -3.5 .00023 .00020 .00019 .00019 .00018 .00017 .00017 -3.4 .00034 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 .00048 .00047 .00045 .00043 .00042 00040 .00039 .00038 .00036 00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00050 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00071 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100 -2.9 .00187 .00181 .00175 .00169 .00164 00159 .00154 .00149 .00144 .00139 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00193 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00264 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 .00604 .00587 .00554 .00539 .00523 .00508 .00676 .00494 .00657 -2.5 .00621 .00570 .00480 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00639 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.2 .01390 .01355 .01321 .01287 .01255 .01222 01191 .01160 .01130 01101 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01426 -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02330 -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02938 -1.7 .04457 .04363 .04272 .04182 .04093 .04006 03920 .03836 .03754 .03673 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04551 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 05938 .05821 .05705 05592 -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06811 -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08226 -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11702 -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13786 -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16109 -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18673 -0.7 .24196 23885 .23576 .23270 .22965 .22663 22363 .22065 .21770 .21476 -0.6 .27425 .27093 .26763 .26435 26109 25785 .25463 .25143 .24825 24510 .30854 .30503 .34090 -0.5 30153 .29806 .29460 .29116 .28774 .28434 .28096 .27760 -0.4 .34458 33724 .33360 32997 .32636 32276 .31918 .31561 31207 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34827 -0,2 42074 41683 .41294 40905 40517 40129 .39743 39358 38974 38591 -0.1 46017 .45620 45224 .44828 .44433 44038 43644 .43251 42858 .42465 -0.0 50000 49601 .49202 .48803 48405 48006 47608 47210 46812 46414 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173 0.4 .65542 .65910 66276 .66640 .67003 .67364 .67724 68082 .68439 .68793 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327 0.9 .81594 .81859 .82121 .82381 .82639 .82894 .83147 .83398 83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 90320 90490 90658 .90824 .90988 .91149 91309 .91466 91621 .91774 1.4 91924 .92073 .92220 92364 92507 .92647 92785 92922 93056 .93189 1.5 .93319 .93448 .93574 .93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 94520 94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 95543 .95637 .95728 .95818 .95907 95994 96080 96164 .96246 .96327 1.8 96407 .96485 .96562 .96638 .96712 96784 .96856 96926 96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 97670 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 98257 .98300 .98341 98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 99461 .99477 .99492 .99506 99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 99653 99664 99674 .99683 99693 .99702 .99711 99720 99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 99795 .99801 99807 2.9 .99813 .99819 .99825 .99831 .99836 .99841 .99846 .99851 .99856 .99861 3.0 99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 .99942 99960 3.2 .99931 .99934 .99936 .99938 .99940 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 99957 .99958 .99961 99962 99964 .99965 3.4 .99966 99968 99969 99970 .99971 .99972 .99973 99974 99975 99976 3.5 99977 .99978 99978 99979 .99980 99981 99981 .99982 .99983 .99983 3.6 .99984 99985 99985 .99986 99986 99987 .99987 99988 99988 99989 3.7 .99989 99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 99993 99993 99993 .99994 99994 99994 99994 99995 99995 99995 3.9 99995 99995 99996 99996 .99996 .99996 99996 99996 .99997 99997

Answer rating: 100% (QA)

Correct answer 384 z X X SD 21 X30 4 ... View the full answer