Determine the margin of error for a 90% confidence interval to estimate the population mean with o = 51 for the following sample sizes. a)n = 38 b)n = 45 c)n = 68 Cumulative probabilities for the standard normal distribut E Click the icon to view the cumulative probabilities for the standard normal distribution. Cumulative Probabilities for the Standard Normal Distribution a) When n= 38, the margin of error for a 90% confidence interval is (Round to two decimal places as needed.) Cianulative prohalilty Table entries represent the shaded area in the figure b) When n= 45, the margin of error for a 90% confidence interval is (Round to two decimal places as needed.) c) When n= 68, the margin of error for a 90% confidence interval is (Round to two decimal places as needed.) FIRST DIGIT OF Z SECOND DIGIT OF z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 05160 05199 0.5239 0.5279 0.5319 0.535 0.1 0,5398 0.5438 0.5478 0.5517 0.5557 05996 0.5636 0.5673 0.5714 0.575 0.2 0.5793 0.5832 0.5871 0.910 0.5948 0.5987 0.6026 0.6064 0.6103 0.614. 03 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6654 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0,7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 08133 0.9 08159 0.8186 0.8212 0.8238 0.8264 08289 0.8315 0.8340 0.8365 08389 10 0.84 13 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 08577 0.8590 0.8621 0.8643 0.8665 0.8686 0.8708 0.8729 0.8770 0.8790 0.8810 0.8830
Determine the margin of error for a 90% confidence interval to estimate the population mean with o = 51 for the following sample sizes. a)n = 38 b)n = 45 c)n = 68 Cumulative probabilities for the standard normal distribut E Click the icon to view the cumulative probabilities for the standard normal distribution. Cumulative Probabilities for the Standard Normal Distribution a) When n= 38, the margin of error for a 90% confidence interval is (Round to two decimal places as needed.) Cianulative prohalilty Table entries represent the shaded area in the figure b) When n= 45, the margin of error for a 90% confidence interval is (Round to two decimal places as needed.) c) When n= 68, the margin of error for a 90% confidence interval is (Round to two decimal places as needed.) FIRST DIGIT OF Z SECOND DIGIT OF z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 05160 05199 0.5239 0.5279 0.5319 0.535 0.1 0,5398 0.5438 0.5478 0.5517 0.5557 05996 0.5636 0.5673 0.5714 0.575 0.2 0.5793 0.5832 0.5871 0.910 0.5948 0.5987 0.6026 0.6064 0.6103 0.614. 03 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6654 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0,7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 08133 0.9 08159 0.8186 0.8212 0.8238 0.8264 08289 0.8315 0.8340 0.8365 08389 10 0.84 13 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 08577 0.8590 0.8621 0.8643 0.8665 0.8686 0.8708 0.8729 0.8770 0.8790 0.8810 0.8830
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Determine the margin of error for a 90% confidence interval to estimate the population mean with mean=51 for the following sample sizes:
a) n=38
b) n=45
c) n=68
**round to two decimal places as needed**
Transcribed Image Text:Determine the margin of error for a 90% confidence interval to estimate the population mean with o =51 for the following sample sizes.
a)n = 38
b)n = 45
c)n = 68
Cumulative probabilities for the standard normal distribution
E Click the icon to view the cumulative probabilities for the standard normal distribution.
Cumulative Probabilities for the Standard Normal Distribution
a) When n= 38, the margin of error for a 90% confidence interval is
(Round to two decimal places as needed.)
Cen ulative
prohalility
Table entries
represent the shaded
area in the figure
b) When n= 45, the margin of error for a 90% confidence interval is
(Round to two decimal places as needed.)
c) When n= 68, the margin of error for a 90% confidence interval is
(Round to two decimal places as needed.)
FIRST DIGIT OF Z
SECOND DIGIT OF z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
05199
0.5239
0.5279
0,5319
0.5359
0.1
0,5398
0.5438
0.5478
0.5517
0.5557
05996
0.5636
0.3675
0.5714
0.5753
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6064
0.6103
0.6141
03
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.4
0.6654
0,6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7517
0.7549
0.7
0.7580
0,7611
0.7642
0.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
08289
0.8315
0.8340
0.8365
0.8389
10
0.84 13
0.8438
0.8461
0.8485
0.8508
08531
0.8554
08577
0.8599
0.8621
0.8643
0.8665
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
08830
1.2
0.8849
0.8869
0.8888
0.8907
0.8925
0.8944
0.8962
0.9980
0.8997
0.9015
09032
0.9049
0.9066
0.9099
0.9115
0.9131
09147
0.9162
0.9177
1.3
0.9082
14
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
15
0.9332
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
0.9545
1.7
0,9554
0.9564 0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
0.9641
0.9649 0.9656
0.9664 0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
1.8
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
09744
0.9750
0.9756
0.9761
0.9767
20
0.9772 0.9778
0.9783
0.9788
0.9793
09798
0.9803
0.9908
0.9812
0.9817
2.1
0.9821
0.9826
0.9830
0.9834
0.9838
0.9842
0.9846
0.9850
0.9854
0.9857
2.2
0.9861
0.9864
0.9868
0.9871
0.9875
0.9878
0.9881
0.9884
0.9887
0.9890
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