change in the sample mean score is less than 10 points? Click the icon to view the table of normal curve areas. Normal Curve Areas P(x< 10)-O(Round to three decimal places as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
Some students paid a private tutor to help them improve their results on a certain mathematical test. These students had a mean change in score of + 18 points, with a standard deviation of 68 points. In a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that the
change in the sample mean score is less than 10 points?
Click the icon to view the table of normal curve areas.
Normal Curve Areas
P(x< 10) = (Round to three decimal places as needed.)
0.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0000
.0398
.0793
.1179
.1554
.1915
.0
.1
.0040
.0438
.0080
.0478
.0871
1255
.0160
.0557
.0948
.1331
.1700
2054
.0120
.0517
.0199
.0596
0987
1368
.1736
2088
.0239
.0636
1026
.1406
1772
2123
0279
.0675
1064
1443
1808
2157
.0319
0714
.1103
1480
1844
2190
0359
.0753
1141
1517
1879
2224
.2
.3
.0832
.1217
.1591
1950
.0910
1293
1664
1628
.5
.1985
2019
.2257
.2580
.2881
.3159
3413
2291
2611
.6
.7
.8
.9
1.0
2324
2642
2939
3212
3461
2357
2673
2967
.3238
2422
2734
2389
2704
2995
.3264
2454
2764
3051
3315
2486
2794
3078
3340
.3577
2517
2823
2910
.3186
3438
3023
3289
3531
3106
3365
3599
2549
2852
3133
3389
3621
3485
3508
3554
3790
3686
3888
4066
.4222
.4357
13708
3907
.4082
.4236
4370
1.1
.3729
3749
.3643
.3849
.4032
.4192
.4332
.3665
3869
.4049
.4207
.4345
3770
3962
4131
4279
4406
3810
3997
.4162
4306
4429
3830
4015
4177
4319
4441
1.2
1.3
3925
4099
3944
.4115
3980
4147
.4292
4265
4394
1.4
4251
1.5
4382
4418
.4452
.4554
4641
4463
.4564
4649
4719
4778
4474
.4573
4656
4726
.4783
4484
4582
4664
4732
4788
4495
4591
4671
4738
4793
4505
4599
4678
4744
4798
4515
4608
4686
4750
4803
4545
4633
4706
4767
4817
1.6
1.7
4535
4625
1.8
1.9
2.0
4525
4616
4693
4756
4808
.4699
4761
4812
.4713
.4772
.4830
4868
4898
4922
4941
.4846
4881
4909
.4931
4948
4854
4887
4913
4934
4857
4890
.4826
4864
.4896
.4920
4940
4834
4871
4901
4925
4943
.4838
4875
4904
4927
4945
4842
4878
4906
4929
4946
4821
2.1
2.2
2.3
4850
4884
4861
4893
.4918
4938
4911
4932
4949
4916
4936
4952
2.4
2.5
4951
4956
.4967
4976
4959
4969
.4977
4984
.4988
4960
4970
4978
4984
.4989
4962
4972
4979
.4985
.4989
4963
4973
.4980
.4986
.4990
4964
4974
4981
4986
4990
4961
2.6
2.7
2.8
2.9
3.0
.4953
.4965
.4974
.4981
4987
4955
4966
.4975
.4982
4987
4957
4968
4977
4983
4988
4971
.4979
4985
4989
.4982
4987
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Clear all
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Transcribed Image Text:Some students paid a private tutor to help them improve their results on a certain mathematical test. These students had a mean change in score of + 18 points, with a standard deviation of 68 points. In a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that the change in the sample mean score is less than 10 points? Click the icon to view the table of normal curve areas. Normal Curve Areas P(x< 10) = (Round to three decimal places as needed.) 0. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0000 .0398 .0793 .1179 .1554 .1915 .0 .1 .0040 .0438 .0080 .0478 .0871 1255 .0160 .0557 .0948 .1331 .1700 2054 .0120 .0517 .0199 .0596 0987 1368 .1736 2088 .0239 .0636 1026 .1406 1772 2123 0279 .0675 1064 1443 1808 2157 .0319 0714 .1103 1480 1844 2190 0359 .0753 1141 1517 1879 2224 .2 .3 .0832 .1217 .1591 1950 .0910 1293 1664 1628 .5 .1985 2019 .2257 .2580 .2881 .3159 3413 2291 2611 .6 .7 .8 .9 1.0 2324 2642 2939 3212 3461 2357 2673 2967 .3238 2422 2734 2389 2704 2995 .3264 2454 2764 3051 3315 2486 2794 3078 3340 .3577 2517 2823 2910 .3186 3438 3023 3289 3531 3106 3365 3599 2549 2852 3133 3389 3621 3485 3508 3554 3790 3686 3888 4066 .4222 .4357 13708 3907 .4082 .4236 4370 1.1 .3729 3749 .3643 .3849 .4032 .4192 .4332 .3665 3869 .4049 .4207 .4345 3770 3962 4131 4279 4406 3810 3997 .4162 4306 4429 3830 4015 4177 4319 4441 1.2 1.3 3925 4099 3944 .4115 3980 4147 .4292 4265 4394 1.4 4251 1.5 4382 4418 .4452 .4554 4641 4463 .4564 4649 4719 4778 4474 .4573 4656 4726 .4783 4484 4582 4664 4732 4788 4495 4591 4671 4738 4793 4505 4599 4678 4744 4798 4515 4608 4686 4750 4803 4545 4633 4706 4767 4817 1.6 1.7 4535 4625 1.8 1.9 2.0 4525 4616 4693 4756 4808 .4699 4761 4812 .4713 .4772 .4830 4868 4898 4922 4941 .4846 4881 4909 .4931 4948 4854 4887 4913 4934 4857 4890 .4826 4864 .4896 .4920 4940 4834 4871 4901 4925 4943 .4838 4875 4904 4927 4945 4842 4878 4906 4929 4946 4821 2.1 2.2 2.3 4850 4884 4861 4893 .4918 4938 4911 4932 4949 4916 4936 4952 2.4 2.5 4951 4956 .4967 4976 4959 4969 .4977 4984 .4988 4960 4970 4978 4984 .4989 4962 4972 4979 .4985 .4989 4963 4973 .4980 .4986 .4990 4964 4974 4981 4986 4990 4961 2.6 2.7 2.8 2.9 3.0 .4953 .4965 .4974 .4981 4987 4955 4966 .4975 .4982 4987 4957 4968 4977 4983 4988 4971 .4979 4985 4989 .4982 4987 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Clear all Check answer
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