A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 3364 with a mean life of 530 minutes. If the claim is true, in a sample of 75 batteries, what is the probability that the mean battery life would be greater than 533.2 minutes? Round your answer to four decimal places.
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 3364 with a mean life of 530 minutes. If the claim is true, in a sample of 75 batteries, what is the probability that the mean battery life would be greater than 533.2 minutes? Round your answer to four decimal places.
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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Transcribed Image Text:A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 3364 with a mean life of 530 minutes.
If the claim is true, in a sample of 75 batteries, what is the probability that the mean battery life would be greater than 533.2 minutes? Round your answer to four
decimal places.
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How to enter your answer (opens in new window)
Tables
Keypa
Keyboard Shortc
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
.07353 .07215
.08851 .08691
.10565
.12507 .12302 .12100
.14686
.14457
.17106 .16853
.19489
.10383 .10204 .10027
.11900
-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
.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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