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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 132 millimeters, and a variance of 64. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 128.2 millimeters? Round your answer to four decimal places. Answer

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 132 millimeters, and a variance of 64. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 128.2 millimeters? Round your answer to four decimal places. Answer

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 132 millimeters, and a variance of 64. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 128.2 millimeters? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts Tables
Transcribed Image Text:Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 132 millimeters, and a variance of 64. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 128.2 millimeters? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts Tables
STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .06 .07 .08 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00005 .00005 -3.7 .00010 .00009 .00009 .00008 .00008 .00008 .00014 .00014 .00013 .00012 .00013 .00012 .00019 .00018 .00017 ,00021 .00020 .00019 .00030 .00029 .00028 .00027 .00026 .00025 .00011 .00010 .00010 -3.6 .00016 .00015 .00015 -3.5 .00023 .00022 .00022 -3.4 .00034 .00032 .00031 -3.3 .00048 .00047 .00045 -3.2 .00069 .00066 -3.1 .00097 -3.0 .00135 .00064 .00052 .00043 .00042 .00040 .00039 .00038 .00036 .00062 .00060 .00058 .00056 .00054 .00084 .00082 .00118 .00114 .00094 .00090 .00087 .00079 .00076 .00074 .00131 .00126 .00122 .00107 .00104 .00111 .00164 .00159 .00154 .00212 .00149 .00144 .00205 .00199 .00280 .00272 .00391 .00379 .00368 -2.9 .00187 .00181 .00175 .00169 -2.8 .00256 .00248 .00240 .00233 ,00226 .00219 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .01321 .01287 .01255 .01222 .01191 .01160 .01130 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .02068 .02018 .01970 .01923 .02619 .02559 .02500 .02442 .02385 .03288 .03216 .03144 .04006 .03920 .03836 .03754 .04947 .06057 .05938 .05821 -2.2 .01390 .01355 -2.0 .02275 .02222 .02169 .02118 .01876 -1.9 .02872 .02807 .02743 .02680 -1.8 .03593 .03515 .03438 .03362 -1.7 04457 .04363 .04272 04182 .04093 05155 .04846 .04746 .04648 .05705 .07078 .06944 .08534 .08379 -1.6 .05480 .05370 .05262 .05050 -1.5 .06681 .06552 .06426 .06301 .06178 -1.4 .08076 .07927 .07780 .07636 .07493 -1.3 .09680 .09510 .09342 .09176 .09012 -1.2 .11507 .11314 .11123 .10935 .10749 -1.1 .13567 .13350 .13136 .12924 .12714 -1.0 .15866 .15625 .15386 .15151 .14917 -0.9 .18406 .18141 .17879 .17619 .17361 -0.8 .21186 .20897 .20611 .20327 -0.7 .24196 23885 .23576 .23270 .22965 27425 -0.6 .27093 .26763 .26435 .26109 -0.5 .30854 .30503 .10383 .10204 .10027 .11900 .07353 .07215 .08851 .08691 .10565 .12507 .12302 .12100 .14686 .14457 .17106 .16853 .19489 .14007 .16602 .16354 .20045 .19766 .19215 .18943 .22663 .22363 .22065 21770 .25785 .25463 25143 .24825 .30153 .29806 .29460 29116 .28774 28434 .28096 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 -0.2 .40129 .39743 .39358 .38974 .42074 .41683 .41294 .40905 ,40517 .46017 .45620 .45224 .44828 .44433 -0.1 .44038 .43644 .43251 .42858 -0.0 .50000 .49601 .49202 .48803 .48405 .48006 .47210 .47608 .46812 .05 .00004 .00006 .09 .00003 .00005 .00008 .00011 .00017 .00024 .00035 .00050 .00071 .00100 .00139 .00193 .00264 .00357 .00480 .00639 00842 .01101 .01426 .01831 .02330 .03074 .03005 .02938 .03673 .04551 .05592 .06811 .08226 .09853 .11702 .13786 .16109 .18673 .21476 .24510 .27760 .31207 .34827 .38591 .42465 46414
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .06 .07 .08 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00005 .00005 -3.7 .00010 .00009 .00009 .00008 .00008 .00008 .00014 .00014 .00013 .00012 .00013 .00012 .00019 .00018 .00017 ,00021 .00020 .00019 .00030 .00029 .00028 .00027 .00026 .00025 .00011 .00010 .00010 -3.6 .00016 .00015 .00015 -3.5 .00023 .00022 .00022 -3.4 .00034 .00032 .00031 -3.3 .00048 .00047 .00045 -3.2 .00069 .00066 -3.1 .00097 -3.0 .00135 .00064 .00052 .00043 .00042 .00040 .00039 .00038 .00036 .00062 .00060 .00058 .00056 .00054 .00084 .00082 .00118 .00114 .00094 .00090 .00087 .00079 .00076 .00074 .00131 .00126 .00122 .00107 .00104 .00111 .00164 .00159 .00154 .00212 .00149 .00144 .00205 .00199 .00280 .00272 .00391 .00379 .00368 -2.9 .00187 .00181 .00175 .00169 -2.8 .00256 .00248 .00240 .00233 ,00226 .00219 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .01321 .01287 .01255 .01222 .01191 .01160 .01130 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .02068 .02018 .01970 .01923 .02619 .02559 .02500 .02442 .02385 .03288 .03216 .03144 .04006 .03920 .03836 .03754 .04947 .06057 .05938 .05821 -2.2 .01390 .01355 -2.0 .02275 .02222 .02169 .02118 .01876 -1.9 .02872 .02807 .02743 .02680 -1.8 .03593 .03515 .03438 .03362 -1.7 04457 .04363 .04272 04182 .04093 05155 .04846 .04746 .04648 .05705 .07078 .06944 .08534 .08379 -1.6 .05480 .05370 .05262 .05050 -1.5 .06681 .06552 .06426 .06301 .06178 -1.4 .08076 .07927 .07780 .07636 .07493 -1.3 .09680 .09510 .09342 .09176 .09012 -1.2 .11507 .11314 .11123 .10935 .10749 -1.1 .13567 .13350 .13136 .12924 .12714 -1.0 .15866 .15625 .15386 .15151 .14917 -0.9 .18406 .18141 .17879 .17619 .17361 -0.8 .21186 .20897 .20611 .20327 -0.7 .24196 23885 .23576 .23270 .22965 27425 -0.6 .27093 .26763 .26435 .26109 -0.5 .30854 .30503 .10383 .10204 .10027 .11900 .07353 .07215 .08851 .08691 .10565 .12507 .12302 .12100 .14686 .14457 .17106 .16853 .19489 .14007 .16602 .16354 .20045 .19766 .19215 .18943 .22663 .22363 .22065 21770 .25785 .25463 25143 .24825 .30153 .29806 .29460 29116 .28774 28434 .28096 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 -0.2 .40129 .39743 .39358 .38974 .42074 .41683 .41294 .40905 ,40517 .46017 .45620 .45224 .44828 .44433 -0.1 .44038 .43644 .43251 .42858 -0.0 .50000 .49601 .49202 .48803 .48405 .48006 .47210 .47608 .46812 .05 .00004 .00006 .09 .00003 .00005 .00008 .00011 .00017 .00024 .00035 .00050 .00071 .00100 .00139 .00193 .00264 .00357 .00480 .00639 00842 .01101 .01426 .01831 .02330 .03074 .03005 .02938 .03673 .04551 .05592 .06811 .08226 .09853 .11702 .13786 .16109 .18673 .21476 .24510 .27760 .31207 .34827 .38591 .42465 46414
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