_NHHS_pd3
Homework: H31 - Module 3 - Chapter 8 -
Section 1
Question 4, 8.1.17
Part 3 of 4
Suppose a simple random sample of size n=41 is obtained from a population with p = 69 and σ = 17
Brianna Martinez 05/01/24 9:20 AM
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(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling
distribution x
(b) Assuming the normal model can be used, determine Px <73.2)
(c) Assuming the normal model can be used, determine P(x 70.9)
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2)
Standard Normal Distribution Table (page 2)
- X
0.00
need to be norma
Assuming the normal model can be used, describe the sampling distribution x
A. Approximately normal, with 69 and e; --
√√41
OB. Approximately normal, with p = 69 and e; - 17
0.0
0.01
0.5000 0.5040
0.3398 0.5436 0.5478
0.02
0.5080
Standard Nonnal Distribution
8.03
0.04
0.05
0.06
05120 05160 0.5199 0.5239 05279
0.5517 0.5557 0.5596 0.5636 0.5675
0.07
0,0%
0.09
0.5319
0.5359
0.5714
0.5753
02
0.5793
0.5832
0.5871
0.5910
0.5948
0.5967
0.6026
06064
0.103
06141
03
06179
0.6217 06255
0.6293
0631
06168
06406
06443
0.6480
0.6517
04
06554
0.6591
0.6628
0.6664
0.6700
0676
0.6772
0
06644
06879
17
0.5
0915 0.6950
0605
0.7019
07054
07123
07157
07190
07224
06
0.7257
0.7291
0.7324
0.7357
07319
0.7422
07454
07517
07549
07
0.7580
0.7611
0.7642
0.7673 0.7704
07734
0.7764
07794
8
0.71
0.7910
09
0815
0.7967 07995
0.7823 07852
0.023
005
0807
0x106
QM33
0.8186
03212
0821
0.8264
08315
0.1340
0.8365
08389
1.0
0.5413
0.8438
0.5461
0.45
0.8508 03531
0.8554
0.8577
03599
08621
1.1
0.6643
0.3665
0.3686
41
OC Approximately normal, with 69 and o;
1.2
0.49
0.39
0.8706 0.8729
0.007
√√17
13
09032
09049
0.9066
08925
0.9099 0.9115
0.8749
0.8944
0.8790
0.8830
0.8962
0390
09015
0913
09147
0916
14
09192
09007
09177
0.9222
09236
0.9251
09065
09279
09292
09306
09119
1.5
09332
0.9345
09157
(b) Px <73.2)-(Round to four decimal places as needed)
0.9370
09342
09794
09406
0948
09429
09441
1.6
09452
09463
0.9474
0.94
09495
0.9505
09515
09925
0.9535
0.9545
1.7
0.9564
0.9573 0.9582
0.999
0.9608
09626
0925
LA
0.9641
09633
0.9656
09664
19
69713
09671 0.9678
0.9699
09719
0.9736
0.9732
0.97
04750
0.9756
09761
09767
2.0
0.9772
09778
09783
0.97
09793
0979
21
0912
09817
09836
0930
09834
0.93
0.9642
0.9546
0.9650
22
0.9561
09654
0.9564
0.9657
0968
09671
09875
0.9687
2.3
09990
0.006
09890
0.00
0.0001
09904
09906
24
09913
0918
09916
09970
0.0025
09927
0979
29911
69917
2004
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