7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and have mean µ= 200 milliliters and standard deviation o = 24 milliliters. Stress levels for a random sample of n=9 individuals are measured and the sample mean (x) is determined. What is the z-score for a sample mean = 180? а. -3.75 b. -2.50 с. -0.83 d. 2.50
7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and have mean µ= 200 milliliters and standard deviation o = 24 milliliters. Stress levels for a random sample of n=9 individuals are measured and the sample mean (x) is determined. What is the z-score for a sample mean = 180? а. -3.75 b. -2.50 с. -0.83 d. 2.50
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

Transcribed Image Text:Fall 2021
7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and have mean µ=
200 milliliters and standard deviation o = 24 milliliters. Stress levels for a random sample of n= 9 individuals
are measured and the sample mean (x) is determined. What is the z-score for a sample mean = 180?
а. -3.75
b. -2.50
с. -0.83
d. 2.50

Transcribed Image Text:STANDARD NORMAL DISTRIBUTION TABLE
Values given are the proportions for the area under the normal curve between u – zo and
u + zo. The total area under the curve is one.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0000
.0797
.0239
.1034
.0478
.1271
2051
.0558
.1350
.0
.0080
.0319
.0399
.0638
.1428
.0160
.0717
.1
.0876
.0955
.1113
.1192
.1507
.1585
.2358
.3108
.1974
.2737
.1663
.1741
.1897
.2128
.2886
.2205
.2961
.3688
.2
.1819
.2282
.2510
.3255
.3
.2434
.2586
3328
.2661
.2812
.3035
.3182
.3899
.4
.3401
.3473
.3545
.3616
.3759
.4039
.4713
.5346
.5935
.4313
.4971
.5587
.5
.3829
.3969
.4108
.4177
.4245
.4381
.4448
.6
.4515
.4581
.4647
.4778
.4843
.4907
.5035
.5098
.5161
.5763
.6319
.6827
.7
.5223
.5285
.5407
.5467
.5527
.5646
.5705
.5878
.6424
.6923
.7373
.6157
.6680
.7154
7580
.6211
.6729
7199
7620
.8
.5821
.5991
.6047
.6102
.6265
.9
.6372
.6476
.6528
.6579
.6629
.6778
.6875
7330
.7017
.7457
.7243
.7660
1.0
.6970
.7063
.7109
1.1
.7287
.7415
.7499
.7540
1.2
.7699
.7737
.7775
.7813
.7850
.7887
.7923
.7959
.7995
.8029
.8230
.8529
1.3
.8064
.8293
.8098
.8415
.8132
.8444
.8165
.8198
.8262
.8324
.8355
.8638
.8385
.8473
.8501
.8557
.8584
.8611
.8859
.9070
1.4
.8812
.9031
1.5
.8664
.8904
.8690
.8715
.8740
.8764
.8990
.9181
.8789
.8836
.8882
1.6
.8926
.8948
.8969
.9011
.9051
.9090
1.7
.9109
.9127
.9146
.9164
.9199
.9216
.9233
.9249
.9265
.9281
.9426
.9297
.9439
1.8
.9312
.9451
.9328
.9342
.9357
.9371
9385
.9399
.9412
1.9
.9464
.9478
.9488
.9500
.9512
.9523
.9534
.9596
9684
.9625
.9707
2.0
.9545
.9556
.9651
.9566
.9576
.9586
.9606
.9615
9700
.9634
2.1
.9643
.9660
.9668
.9676
.9692
.9715
2.2
.9722
.9729
.9736
.9743
.9749
.9756
.9762
.9768
.9774
.9780
9791
2.3
2.4
.9817
.9861
.9832
.9872
.9904
.9786
.9797
.9802
.9807
.9812
.9822
.9827
.9845
.9883
.9853
.9889
.9865
9898
.9836
.9840
.9857
.9892
.9849
.9869
2.5
.9876
.9879
.9886
.9895
.9901
2.6
.9907
.9909
.9912
.9915
.9917
.9920
.9922
.9924
.9926
.9929
.9933
.9937
.9940
.9956
2.7
.9931
.9935
.9939
.9942
.9944
.9946
.9947
2.8
.9949
.9950
.9952
.9953
.9955
.9958
.9959
.9960
.9961
2.9
.9963
.9964
.9965
.9966
.9967
.9968
.9969
.9970
.9971
.9972
3.0
.9973
.9974
.9975
.9982
.9987
.9976
.9976
.9977
.9984
.9978
.9979
.9979
.9980
3.1
.9981
.9981
.9983
.9983
.9984
.9985
.9985
.9986
3.2
.9986
.9987
.9988
.9988
.9988
.9989
9989
.9990
.9990
3.3
3.4
.9991
.9994
.9992
9995
.9993
.9995
9997
.9990
.9991
.9991
.9992
9992
9992
.9993
.9995
.9993
.9994
.9994
.9994
.9994
.9995
3.5
.9995
,9996
.9996
.9996
9996
.9996
.9996
.9996
.9997
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