The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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Transcribed Image Text: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 = 61, find the probability of a sample mean being less than 22.6 if µ = 23 and o = 1.15.
Click the icon to view page 1 of the standard normal table.
Click the icon to view page 2 of the standard normal table.
For a sample of n = 61, the probability of a sample mean being less than 22.6 if µ = 23 and o=1.15 is
(Round to four decimal places as needed.)
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Standard Normal Table (Page 2)
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
Area
0
Z
.03
.04
.00
.01
.02
.05
.06
.07
.08
.09
.5000 .5040 .5080 .5120 5160 .5199 .5239 .5279 .5319 .5359
.5398 .5438 5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753
.5793 5832 .5871 .5910 .5948 5987 .6026 .6064 .6103 .6141
.6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517
.6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879
.6915 .6950 .6985 .7019 .7054 .7088
7123 .7157 .7190 7224
.7257 .7291 .7324 .7357 .7389 .7422 7454 .7486 .7517 .7549
.7580
.7611 .7642 .7673 .7704 7734
.7764 7794 .7823 7852
.7881 .7910 .7939 .7967 .7995 .8023 8051 .8078 .8106 8133
.8159 .8186 .8212 8238 .8264 .8289 .8315 .8340 .8365 8389
8413 .8438 .8461 .8485 8508
.8531 .8554 .8577 8599 8621
.8643 .8665 .8686 8708 .8729 .8749 .8770 .8790 .8810 .8830
.8849 8869 .8888 .8907 .8925
.8944
8962 .8980 .8997 .9015
.9032 .9049 .9066 .9082 .9099 9115 .9131 .9147 .9162 .9177
9192
.9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319
.9332 .9345 9357 .9370 .9382 .9394 .9406 .9418 9429 .9441
.9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545
.9554 .9564 9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633
.9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706
.9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767
.9772 .9778 9783 9788 .9793 .9798 .9803 .9808 .9812
.9821 .9826 .9830 .9834 .9838 .9842 .9846 9850 .9854
.9817
.9857
Print
Done
X
Transcribed Image Text: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 = 61, find the probability of a sample mean being less than 22.6 if µ = 23 and o = 1.15.
Click the icon to view page 1 of the standard normal table.
Click the icon to view page 2 of the standard normal table.
For a sample of n = 61, the probability of a sample mean being less than 22.6 if µ = 23 and o=1.15 is
(Round to four decimal places as needed.)
Standard Normal Table (Page 1)
Area
Z
Z
.05
.00
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
.09
.08
.07
.06
.04
.03
.02
.01
.0002 .0003 .0003 .0003 .0003 0003 .0003 .0003 .0003 .0003
.0003 .0004 .0004 .0004 .0004 0004 .0004 .0005 .0005 .0005
.0005 .0005 .0005 .0006 .0006 0006 .0006 .0006 .0007 .0007
.0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010
.0010 .0010 .0011 .0011 .0011 0012 .0012 .0013 .0013 .0013
.0014 .0014 .0015 .0015 .0016 .0016 .0017 .0018 .0018 .0019
.0019 .0020
.0021 .0021 .0022
0023 .0023 .0024 .0025 .0026
-2.7 .0026 .0027 .0028 .0029 .0030 0031 .0032 .0033 .0034 .0035
-2.6 .0036 .0037 .0038 .0039 .0040 0041 .0043 .0044 .0045 .0047
-2.5 .0048 .0049 .0051 .0052 .0054 0055 .0057 .0059 .0060 .0062
-2.4
.0064 .0066 .0068 .0069 .0071 .0073 .0075 .0078 .0080 .0082
-2.3 .0084 .0087 .0089 .0091 .0094 0096 .0099
0102 .0104 0107
-2.2 .0110 .0113 .0116 .0119 0122 0125 .0129 0132 .0136 0139
-2.1 .0143 .0146 .0150 .0154 .0158 .0162 .0166 0170 .0174 0179
-2.0 .0183 .0188 .0192 .0197
.0202 0207 .0212 .0217 .0222 0228
-1.9 0233 .0239 .0244 .0250 .0256 0262 .0268 .0274 .0281 .0287
-1.8 .0294 0301 .0307 .0314 0322 0329 .0336 .0344 .0351 0359
-1.7 .0367 .0375 0384 .0392 .0401 0409 .0418
0427
.0436
-1.6 .0455 0465 .0475 .0485 .0495 0505 .0516 .0526 .0537
<<-1.5 .0559 .0571 .0582 .0594 .0606 0618 .0630 .0643 .0655
-1.4 .0681 .0694 0708 .0721
.0735 0749 .0764 .0778 .0793
-1.3 .0823 .0838 0853 .0869 0885 0901 .0918 0934 .0951
.0446
.0548
0668
0808
0968
X
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