The mean number of words per minute (WPM) read by sixth graders is 98 with a standard deviation of 20 WPM. If 57 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 103.19 WPM? Round your answer to four decimal places.
The mean number of words per minute (WPM) read by sixth graders is 98 with a standard deviation of 20 WPM. If 57 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 103.19 WPM? 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: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:The mean number of words per minute (WPM) read by sixth graders is 98 with a standard deviation of 20 WPM.
If 57 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 103.19 WPM? Round your answer to four decimal places.
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