The mean output of a certain type of amplifier is 161 watts with a standard deviation of 10 watts. If 53 amplifiers are sampled, what is the probability that the mean of the sample would be greater than 163.7 watts? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Tables Keyboard S

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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100%
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
.07353 .07215
.08851 .08691
.10565
.12507 .12302 .12100
.14686
.14457
.17106 .16853
.19489
.10383 .10204 .10027
.11900
.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 .07353 .07215 .08851 .08691 .10565 .12507 .12302 .12100 .14686 .14457 .17106 .16853 .19489 .10383 .10204 .10027 .11900 .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
The mean output of a certain type of amplifier is 161 watts with a standard deviation of 10 watts.
If 53 amplifiers are sampled, what is the probability that the mean of the sample would be greater than 163.7 watts? Round your answer to four decimal places.
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How to enter your answer (opens in new window)
Tables
Keyboard S
Transcribed Image Text:The mean output of a certain type of amplifier is 161 watts with a standard deviation of 10 watts. If 53 amplifiers are sampled, what is the probability that the mean of the sample would be greater than 163.7 watts? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Tables Keyboard S
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