STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.Z.00.01.02.090.0 500000.1 539830.2 579260.30.450399 5079854380 5477658317 58706.61791 6217265542 .65910662760.5 .69146 .69497 69847.73237.764240.67257575804.72907.761150.70.878814 .79103 793890.981594 .81859838911.19544996080 9616496327.96712.96856 96926.9699597062.96784974419738197500 97558 9761597670979329798298030 98077 9812498169.03.04.05.06.07.0851197 51595 $1994 52392 52790 53188 5358655172 55567 55962 56356 56749 57142 5753559095 59483 59871 .60257 .60642 .61026 .6140962552 .62930 .63307 .63683 .64058 .64431 .64803 .65173.66640 .67003 .67364 .67724 68082 68439 .68793.70194 .70540 .70884 .71226 .71566 .71904 .72240.73565 .73891 74215 .74537 .74857 75175 .75490.76730 .77035 77337 .77637 77935 .78230 .78524.79673 .79955 80234 .805118078581057 81327.82121 .82381 .82639 .82894 .83147 .83398 .836461.0 84134 .84375 .84614 .84849 85083 .85314 .85543 .85769 85993 .86214.86433 .86650 86864 .87076 .87286 .87493 .87698 .87900 .88100 882981.2 .88493 88686 88877 .89065 .89251 .89435 .89617 .89796 89973 .901471.390320 90490 90658 .90824 .90988 91149 .91309 91466 91621 917741.4 91924 92073 92220 92364 92507 92647 92785 92922 93056 931891.5 93319 93448 .93574 .93699 93822 .93943 94062 94179 94295 944081.6 94520 94630 94738 94845 94950 95053 95154 95254 953521.7 95543 95637 95728 95818 .95907 95994.962461.8 96407 96485 96562 .966381.9 97128 97193 97257 973202.0 97725 97778 97831 9788298257 98300 .983419838298645 98679 .98713 .9874598956 98983 .99010 .99036 .99061 .99086 99111 .9913499202 99224 99245.99266 99286 99305 99324 9934399413 .9943099446 99461 99477 9949299560 99573 99585 .99598 99609 9962199674 .99683 9969399702 99711 9972099760 99767 99774 99781 99788 997959981999825 .99831 99836 99841 99846 99851 998563.0 .99865 99869 99874 .99878 99882 .99886 99889 998933.1 99903 .99906 99910 .99913 .99916 .99918 .99921 999243.2 9993199934 99936 99938 9994099942 .99944 999463.2 .99931 .99934 .99936 .99938 .99940 .99942 .999443.3 99952 99953 .99955 99957 99958 .99960 999613.4 .99966 99968 99969 .99970 .99971 .9997299978 .99979 99980.99985 .99986 .99986.99990 .99990 9999199993 .99994 .9999499996 99996 99996985742.1 982142.2 9861098422 .98461 98500.9853798778 98809 98840 98870988992.3 98928991582.4 .99180993612.5 9937999506.995202.6 .995349963299643.99396.9954799664997522.7 99653.997282.8 99744998012.9 9981399896.999469996299973 .9997499981 .99981 .99982.99937 .99988 .99988.99987.9999199992 .99992 99992.99994 99994 .99995 99995.99996 99996 99996 999973349253.5 .99977 .99978.99985.999903.6 .999843.7 .999893.8 99993999933.9 .99995 999959992699948997369980799861.999009992999950.99948.99950.9996499965.999759997699983 9998399989999929999599997 Q5.The thickness (in millimeters) of the coating applied to disk drives is one characteristic thatdetermines the usefulness of the product. When no unusual circumstances are present, the thickness (z) hasa normal distribution with a mean of 5mm and a standard deviation of 0.1mm. Suppose that the processwill be monitored by selecting a random sample of 30 drives from each shift's production and determining 7,the mean coating thickness for the sample. (Round your answer to 4 decimal places if any.)(a) Describe the sampling distribution of 2 for a random sample of size 30.(b) When no unusual circumstances are present, we expect à to be within 30 of 5mm, the desired value.An z value farther from 5 than 30, is interpreted as an indication of a problem that needs attention.Compute 5 ±30,Appendix-0.2-0.1-0.0STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.Z.00.0102.03.06.07.08.09-3.9 .00005 .00005 00004 00004.00003.00005-3.8 .00007 .00007 00007-3.7 00011 .00010 000100000600010-3.6 .00016 .00015 .00015 .00014-3.5 00023 .00022 00022.00008.00011.000170003100045.00064.00024.00035.00050.00071.04.0500004 .00004 00004 00004 .0000300006 .00006 00006 .00005 00005.00009 .00009 .00008 00008 0000800014 00013 .00013 00012 0001200021 00020 00019 00019 00018 00017.00034 .00032.00030 .00029 .00028 .00027 00026 .00025-3.3 .00048 00047.00043 00042 00040 .00039.00038 .00036-3.2 .00069 .00066.00062 .00060 .00058 .00056 .00054 000523.1.00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074-3.0 .00135 .00131 0012600122 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 .0040200391 00379 00368 00357-2.5 00621 00604 00587 00570 00554 .00539 00423 00508 00494 0048000820 .00798 00776 .00755 .00734 .00714 .00695 00676 00657.0063901072 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 0165901618 01578 01539 01500 01463 .01426-2.0 02275 02222 0216902118 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 0409304006 0392003836 03754 .03673-1.6 05480 05370 05262 05155 05050 04947 0484604746 04648-1.5 06681 06552 06426 06301 06178 06057 05938 05821 05705-1.4 08076 07927 07780 07636 .07493 07353 07215 07078 0694409680 .09510 09342 09176 09012 08851 08691 08534 08379-1.2 11507 .11314 11123 .10935 .10749 .10565 .10383 .10204 .10027-1.1 .13567 13350 .13136 12924 .12714 .12507 12302 .12100 11900-1.0 15866 .15625 15386 15151 14917 .14686 .14457 .14231 140070455105592.0681108226098531170213786.17106 .16853.19766 .19489.22663 223632610925785-0.9 .18406 .18141 .17879 .17619 .17361-0.8 21186 20897 20611 20327 20045-0.7 24196 23885 23576 23270 22965-0.6 27425 27093 26763 26435-0.5 30854 .30503 .30153 29806-0.4 34458.33360-0.3 38209 37828 37448 .37070 .3669342074 41683 41294 .40905 40517.2911634090 .3372429460.32997 .32636.3631740129 397433594246017 45620 4522450000 49601 49202.44038 4364444828 4443348803 48405 48006.16602 .16354.19215 .18943220652177025463 251432482528434 2809631918 315612877432276.16109.18673214762451027760.31207.34827.385914246546812 .46414.35569 3519739358 3897443251 4285847608 47210

Let x be the random variable the thickness of the coating applied to disk drives. Given that, x~…

Answered: (a) Describe the sampling distribution…

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(a) Describe the sampling distribution of 2 for a random sample of size 30. (b) When no unusual circumstances are present, we expect to be within 30, of 5mm, the desired value. An z value farther from 5 than 30, is interpreted as an indication of a problem that needs attention. Compute 5+ 30,