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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 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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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. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts Tables
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