The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 69, find the probablity of a sample mean being less than 21. 1 if mean = 21 and standard deviation = 1.31
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 69, find the probablity of a sample mean being less than 21. 1 if mean = 21 and standard deviation = 1.31
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 15E: Describe the standard normal distribution. What are its characteristics?
Related questions
Question
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n = 69, find the probablity of a sample mean being less than 21. 1 if mean = 21 and standard deviation = 1.31
Transcribed Image Text:Standard Normal Table (Page 1)
Area
- 1.4
- 1.3
Z
.07
.0003
.09
.08
-3.4 .0002 .0003
-3.3 .0003 .0004
-3.2 .0005 .0005
.0007
.0004
.0005
-3.1
.0007
.0008
- 3.0
.0010
.0010
.0011
.0015
.0021
.0030 0031
.0034
.0040 0041
.0045
.0029
.0039
.0052
.0069 .0071 .0073
.0054 .0055
.0060
.0080
.0099 0102 .0104
-2.9 .0014 .0014 .0015
-2.8 .0019 .0020 .0021
-2.7 .0026 .0027 .0028
-2.6 .0036 .0037 0038
-2.5 .0048 .0049 .0051
-2.4 .0064 .0066 .0068
-2.3 .0084 .0087
.0089 .0091 .0094 0096
-2.2 .0110 0113 0116
.0119 0122 0125 .0129 0132 .0136
-2.1 .0143 .0146 .0150 .0154 .0158 0162 .0166 .0170 .0174
-2.0 .0183 .0188 .0192 .0197 .0202 0207 .0212
-1.9 .0233 .0239 .0244 .0250 .0256 0262 .0268
-1.8 .0294 .0301 .0307 .0314 0322 0329 .0336
-1.7 .0367 .0375 .0384 .0392
-1.6 .0455 .0465 .0475 .0485
-1.5
.0559 .0571 .0582
.0594
.0681 .0694 .0708 .0721
.0823
0217
.0222
.0274 .0281
.0287
.0344 .0351
0359
.0401
0409
.0418
.0427 .0436
0446
.0495
0505 .0516
0526 .0537
0548
0668
.0808
.0606 0618 .0630 0643 .0655
.0735 .0749 .0764 .0778 .0793
.0885 0901 .0918
.1056 .1075 .1093
0934 .0951
0968
.0985
.1003
.0838 0853 .0869
.1020 .1038
.1210 .1230
1112 .1131
.1151
1170
.1190
.1357
.1379
.1401
.1423
.1446
.1469
.1562 .1587
-0.9 .1611 .1635 .1660
.1685
.1251 .1271 .1292 .1314 .1335
.1492 .1515 .1539
.1711 .1736 .1762 .1788 .1814
2005
.2266 2296
.1841
.1949
.1977
.2033
2061
.2090
2119
2327
2358
.2389
2420
2611 .2643
2676 .2709
2743
.2981 .3015 .3050 .3085
-0.8 .1867 .1894 .1922
-0.7 2148 2177 2206 .2236
-0.6 .2451 .2483 .2514 .2546 2578
-0.5 .2776 2810 2843 .2877 2912 2946
-0.4 .3121 3156 3192 .3228 .3264 3300
-0.3 .3483 3520 .3557 .3594 .3632 3669
-0.2 .3859 .3897 .3936
-0.1 4247 4286
-0.0
3446
.3336 3372 .3409
.3707 .3745 .3783
.3821
.3974 4013
4052
.4090
4129 4168
4207
.4325
.4364
4404
4443
.4483
4562
4602
4641
4681
4721
.4761
4801
4840
.4880
4960
5000
Z
.09
.08
.07
.06
.05
.04
.03
.01
.00
Z
- 1.2
- 1.1
- 1.0
.06
.05
.04
.03
.02
.0003 .0003 .0003 .0003
.0003
.0004 .0004
.0004 .0005
.0004
.0006 .0006
.0006
.0008
0008
.0009 .0009 .0009
.0011
0012 .0012 .0013 .0013
.0017
.0023
.0006
.0008
.0011
.01
.0003
.0005
.0006 .0007
.0016
.0016
.0022 0023
.0018
.0018
.0024 .0025
.0032
.0033
.0043 .0044
.0057 .0059
.0075 .0078
4522
4920
.02
.00
.0003
.0005
.0007
.0010
.0013
.0019
0026
.0035
.0047
.0062
.0082
.0107
0139
0179
.0228
Transcribed Image Text:Standard Normal Table (Page 2)
Area
0
z
Z
Z
.00
.01
.03
.04
.05
.06
.07
0.0
5160 5199
.5239
5279
0.1
.02
.5000 .5040 .5080 .5120
.5398 .5438 5478 .5517
.5793 5832 5871 .5910
.6217 .6255 .6293
5557 .5596 .5636 .5675
0.2
.5948
0.3
.6179
.6331
0.4
.6554
.6736 .6772
.6591 .6628 .6664
.6915 .6950 .6985 .7019
.6700
.7054 .7088
0.5
7123
0.6
.7257
.7422 7454
0.7
.7580
.7611
0.8
.7881 .7910
0.9
.8159 .8186
7291 .7324 .7357 .7389
.7642 .7673 .7704 .7734 .7764
.7939 7967 .7995 .8023 .8051
.8212 8238 .8264
8413 .8438 .8461 .8485 8508
.8643 .8665 .8686 .8708 .8729
.8907 .8925
.9082 .9099
1.0
1.1
1.2
8869 .8888
.8849
.9032
1.3
.9049 .9066
1.4
9192 .9207
.9222
.9236
.9251
1.5
9332
.9345
9357
.9370
.9382
1.6 .9452 .9463 .9474 .9484
.9495
1.7
.9554 .9564 9573
.9641 .9649 .9656
1.8
2.1
2.2
.9582 .9591
.9664 .9671
1.9 .9713 .9719 9726 .9732 .9738
2.0 .9772 .9778 .9783 9788 .9793 .9798 .9803 .9808
.9821 .9826 .9830 .9834 9838 .9842 .9846 .9850
.9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884
.9893 .9896 .9898 .9901 .9904 .9906 .9909
.9918 9920 .9922 .9925 9927 .9929 .9931
.9938 .9940 .9941 .9943 9945 .9946 .9948
.9953 .9955 .9956 .9957 .9959 .9960 .9961
.9965 .9966 .9967 .9968
.9970 .9971
2.3
2.4
2.5
2.6
2.7
.9969
2.8
.9974 .9975 .9976
.9977
.9977
.9978 .9979
2.9
.9981 .9982 .9982
.9983
.9984
.9984
9985
3.0
.9987 .9987
9988
.9988 .9989
9989
3.1
.9987
.9990 .9991 .9991 .9991 .9992
9993 9993 .9994 .9994 .9994
.9992
.9992
3.2
.9994
.9994
3.3
.9995
.9996 .9996
.9995 .9995 .9996
.9997 .9997 .9997
3.4
.9997
.9997
z
.00
.01
.02
.03
.06
.08
.5319
.5714
.6141
5987 .6026 .6064 .6103
.6368 .6406
.6443
.6480
.6517
.6808
.6844
.6879
.7157
.7190
.7224
7486
.7517
.7549
.7794
.7823
7852
.8078 .8106
8133
.8389
.8621
.8289 .8315 .8340 .8365
.8531 .8554 .8577 8599
.8749 .8770 .8790 .8810 8830
.8944 .8962 .8980 .8997 .9015
9115 .9131 .9147 .9162 .9177
.9319
.9265 .9279
.9292 .9306
.9394 .9406
.9418 9429
.9441
.9525 .9535
.9545
.9616
.9625
.9633
.9505 .9515
.9599 .9608
.9678 .9686 .9693
.9744 .9750 .9756 .9761
.9699
.9706
.9767
.9812
.9817
.9854
9887
9911 .9913
.9932 .9934
.9949 .9951
.9962 .9963
.9972
.9979
.9985
.9989 .9990 .9990
.9992
9993 .9993
.9995
9995
9995
.9996 .9996
.9997
.9997
9997
9998
.07
.08
.09
.09
.5359
.5753
.9996
.9997 .9997
.04
.05
.9857
.9890
.9916
.9936
.9952
9964
.9973
.9974
.9980 .9981
.9986 .9986
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning